Extrusion Expansion Ratio Calculator<\/title>\r\n <style>\r\n \/* Reset & Container Setup *\/\r\n .zhuoheng-calc-wrapper * {\r\n box-sizing: border-box;\r\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Helvetica, Arial, sans-serif;\r\n }\r\n \r\n .zhuoheng-calc-wrapper {\r\n max-width: 800px;\r\n margin: 20px auto;\r\n border: 1px solid #e2e8f0;\r\n border-radius: 12px;\r\n overflow: hidden;\r\n background-color: #ffffff;\r\n box-shadow: 0 10px 25px rgba(0, 0, 0, 0.05);\r\n }\r\n\r\n \/* 1. Header Area: Blue Background, White Text *\/\r\n .calc-header {\r\n background-color: #0b5ed7;\r\n color: #ffffff;\r\n padding: 32px 24px;\r\n text-align: center;\r\n }\r\n\r\n .calc-header h1 {\r\n margin: 0 0 10px 0;\r\n font-size: 26px;\r\n font-weight: 700;\r\n color: #ffffff;\r\n line-height: 1.3;\r\n }\r\n\r\n .calc-header p {\r\n margin: 0;\r\n font-size: 14px;\r\n color: #e0eafc;\r\n line-height: 1.5;\r\n }\r\n\r\n \/* 2. Form Body *\/\r\n .calc-body {\r\n padding: 28px 24px;\r\n background-color: #f8fafc;\r\n }\r\n\r\n .calc-grid {\r\n display: grid;\r\n grid-template-columns: repeat(auto-fit, minmax(280px, 1fr));\r\n gap: 20px;\r\n margin-bottom: 24px;\r\n }\r\n\r\n .input-group {\r\n display: flex;\r\n flex-direction: column;\r\n }\r\n\r\n .input-group label {\r\n font-size: 13px;\r\n font-weight: 600;\r\n color: #1e293b;\r\n margin-bottom: 6px;\r\n }\r\n\r\n .input-control-wrap {\r\n display: flex;\r\n border: 1px solid #cbd5e1;\r\n border-radius: 6px;\r\n overflow: hidden;\r\n background: #ffffff;\r\n transition: border-color 0.2s ease;\r\n }\r\n\r\n .input-control-wrap:focus-within {\r\n border-color: #0b5ed7;\r\n box-shadow: 0 0 0 3px rgba(11, 94, 215, 0.15);\r\n }\r\n\r\n .input-control-wrap input {\r\n flex: 1;\r\n border: none;\r\n padding: 10px 12px;\r\n font-size: 15px;\r\n outline: none;\r\n color: #0f172a;\r\n width: 100%;\r\n }\r\n\r\n .input-control-wrap select {\r\n border: none;\r\n border-left: 1px solid #e2e8f0;\r\n background-color: #f1f5f9;\r\n padding: 0 10px;\r\n font-size: 13px;\r\n color: #475569;\r\n outline: none;\r\n cursor: pointer;\r\n }\r\n\r\n \/* Buttons Style *\/\r\n .calc-btn-group {\r\n display: flex;\r\n gap: 12px;\r\n margin-top: 8px;\r\n }\r\n\r\n \/* Blue Buttons, White Text *\/\r\n .btn-blue {\r\n flex: 1;\r\n background-color: #0b5ed7;\r\n color: #ffffff;\r\n border: none;\r\n padding: 12px 20px;\r\n font-size: 15px;\r\n font-weight: 600;\r\n border-radius: 6px;\r\n cursor: pointer;\r\n transition: background-color 0.2s ease, transform 0.1s ease;\r\n text-align: center;\r\n }\r\n\r\n .btn-blue:hover {\r\n background-color: #0a58ca;\r\n }\r\n\r\n .btn-blue:active {\r\n transform: scale(0.99);\r\n }\r\n\r\n .btn-outline-blue {\r\n background-color: #ffffff;\r\n color: #0b5ed7;\r\n border: 1px solid #0b5ed7;\r\n padding: 12px 20px;\r\n font-size: 15px;\r\n font-weight: 600;\r\n border-radius: 6px;\r\n cursor: pointer;\r\n transition: all 0.2s ease;\r\n text-align: center;\r\n }\r\n\r\n .btn-outline-blue:hover {\r\n background-color: #eff6ff;\r\n }\r\n\r\n \/* Results Section *\/\r\n .calc-results-zone {\r\n margin-top: 28px;\r\n padding-top: 24px;\r\n border-top: 2px dashed #e2e8f0;\r\n display: none; \/* Dynamic Display *\/\r\n }\r\n\r\n .results-grid {\r\n display: grid;\r\n grid-template-columns: repeat(auto-fit, minmax(200px, 1fr));\r\n gap: 16px;\r\n margin-bottom: 20px;\r\n }\r\n\r\n .result-card {\r\n background: #ffffff;\r\n border: 1px solid #bfdbfe;\r\n border-radius: 8px;\r\n padding: 16px;\r\n text-align: center;\r\n }\r\n\r\n .result-card .res-title {\r\n font-size: 12px;\r\n font-weight: 600;\r\n text-transform: uppercase;\r\n letter-spacing: 0.5px;\r\n color: #475569;\r\n margin-bottom: 6px;\r\n }\r\n\r\n .result-card .res-value {\r\n font-size: 24px;\r\n font-weight: 700;\r\n color: #0b5ed7;\r\n }\r\n\r\n .result-card .res-unit {\r\n font-size: 12px;\r\n color: #64748b;\r\n margin-top: 2px;\r\n }\r\n\r\n \/* CTA Section: Yellow Background, Purple Text *\/\r\n .cta-wrapper {\r\n margin-top: 24px;\r\n text-align: center;\r\n }\r\n\r\n .btn-cta-yellow {\r\n display: inline-block;\r\n width: 100%;\r\n background-color: #ffc107;\r\n color: #4a154b; \/* Deep Purple *\/\r\n font-weight: 700;\r\n font-size: 16px;\r\n padding: 14px 24px;\r\n text-decoration: none;\r\n border-radius: 6px;\r\n border: none;\r\n box-shadow: 0 4px 12px rgba(255, 193, 7, 0.3);\r\n transition: all 0.2s ease;\r\n box-sizing: border-box;\r\n }\r\n\r\n .btn-cta-yellow:hover {\r\n background-color: #ffca2c;\r\n color: #300d32;\r\n transform: translateY(-1px);\r\n box-shadow: 0 6px 16px rgba(255, 193, 7, 0.4);\r\n }\r\n\r\n \/* Disclaimer Styling *\/\r\n .disclaimer-text {\r\n font-size: 12px;\r\n color: #64748b;\r\n line-height: 1.5;\r\n margin-top: 16px;\r\n text-align: center;\r\n padding: 0 10px;\r\n }\r\n\r\n @media (max-width: 600px) {\r\n .calc-btn-group {\r\n flex-direction: column;\r\n }\r\n .calc-header h1 {\r\n font-size: 22px;\r\n }\r\n }\r\n <\/style>\r\n<\/head>\r\n<body>\r\n\r\n<div class=\"zhuoheng-calc-wrapper\">\r\n \r\n <div class=\"calc-header\">\r\n <h1>Calculadora do r\u00e1cio de expans\u00e3o por extrus\u00e3o<\/h1>\r\n <p>Calcular os r\u00e1cios de expans\u00e3o do di\u00e2metro e volum\u00e9trica, bem como a redu\u00e7\u00e3o da densidade, para alimentos tufados, alimentos para animais de estima\u00e7\u00e3o e extrudados de prote\u00ednas texturizadas.<\/p>\r\n <\/div>\r\n\r\n \r\n <div class=\"calc-body\">\r\n <form id=\"expansionForm\" action=\"\">\r\n <div class=\"calc-grid\">\r\n \r\n <div class=\"input-group\">\r\n <label for=\"dieDiameter\">Di\u00e2metro do bico<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"dieDiameter\" step=\"any\" placeholder=\"por exemplo, 3,0\" value=\"3.0\" required>\r\n <select id=\"dieUnit\">\r\n <option value=\"mm\" selected>mm<\/option>\r\n <option value=\"in\">em<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <div class=\"input-group\">\r\n <label for=\"productDiameter\">Di\u00e2metro do produto extrudido<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"productDiameter\" step=\"any\" placeholder=\"por exemplo, 12,0\" value=\"12.0\" required>\r\n <select id=\"productUnit\">\r\n <option value=\"mm\" selected>mm<\/option>\r\n <option value=\"in\">em<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <div class=\"input-group\">\r\n <label for=\"meltDensity\">Densidade do extrudado n\u00e3o expandido<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"meltDensity\" step=\"any\" placeholder=\"por exemplo, 450\" value=\"450\" required>\r\n <select id=\"meltDensityUnit\">\r\n <option value=\"g_l\" selected>g\/L<\/option>\r\n <option value=\"lb_ft3\">libras por p\u00e9 c\u00fabico<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <div class=\"input-group\">\r\n <label for=\"productDensity\">Densidade aparente do produto final<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"productDensity\" step=\"any\" placeholder=\"por exemplo, 60\" value=\"60\" required>\r\n <select id=\"productDensityUnit\">\r\n <option value=\"g_l\" selected>g\/L<\/option>\r\n <option value=\"lb_ft3\">libras por p\u00e9 c\u00fabico<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <\/div>\r\n\r\n \r\n <div class=\"calc-btn-group\">\r\n <button type=\"button\" class=\"btn-blue\" onclick=\"calculateExpansion()\">Calcular resultados<\/button>\r\n <button type=\"button\" class=\"btn-outline-blue\" onclick=\"resetCalculator()\">Reiniciar formul\u00e1rio<\/button>\r\n <\/div>\r\n <input type=\"hidden\" name=\"trp-form-language\" value=\"pt\"\/><\/form>\r\n\r\n \r\n <div class=\"calc-results-zone\" id=\"resultsZone\">\r\n <div class=\"results-grid\">\r\n <div class=\"result-card\">\r\n <div class=\"res-title\">R\u00e1cio de expans\u00e3o do di\u00e2metro<\/div>\r\n <div class=\"res-value\" id=\"diameterRatioVal\">0.00<\/div>\r\n <div class=\"res-unit\">(Di\u00e2metro do extrudado \u00f7 di\u00e2metro da matriz)<\/div>\r\n <\/div>\r\n <div class=\"result-card\">\r\n <div class=\"res-title\">R\u00e1cio de expans\u00e3o volum\u00e9trica<\/div>\r\n <div class=\"res-value\" id=\"volumetricRatioVal\">0.00<\/div>\r\n <div class=\"res-unit\">(densidade n\u00e3o expandida \u00f7 densidade expandida)<\/div>\r\n <\/div>\r\n <div class=\"result-card\">\r\n <div class=\"res-title\">Redu\u00e7\u00e3o da densidade<\/div>\r\n <div class=\"res-value\" id=\"densityReductionVal\">0.0%<\/div>\r\n <div class=\"res-unit\">(Diminui\u00e7\u00e3o da densidade relativa)<\/div>\r\n <\/div>\r\n <\/div>\r\n\r\n \r\n <div class=\"cta-wrapper\">\r\n <a href=\"https:\/\/zhuohengextruder.com\/pt\/contact\/\" target=\"_blank\" class=\"btn-cta-yellow\">\r\n Obtenha um or\u00e7amento detalhado por linha e aconselhamento sobre f\u00f3rmulas\r\n <\/a>\r\n <\/div>\r\n\r\n \r\n <div class=\"disclaimer-text\">\r\n Nota: Os valores de expans\u00e3o calculados destinam-se apenas a servir de refer\u00eancia t\u00e9cnica. As taxas reais de expans\u00e3o na produ\u00e7\u00e3o s\u00e3o fortemente influenciadas pelo grau de gelatinizac\u00e3o do amido, pela temperatura do cilindro, pelo teor de humidade e pela configura\u00e7\u00e3o do cisalhamento do parafuso. Consulte os nossos engenheiros t\u00e9cnicos para a realiza\u00e7\u00e3o de ensaios precisos em linha piloto.\r\n <\/div>\r\n <\/div>\r\n\r\n <\/div>\r\n<\/div>\r\n\r\n<script>\r\n function calculateExpansion() {\r\n \/\/ Inputs & Units\r\n let die = parseFloat(document.getElementById('dieDiameter').value);\r\n const dieUnit = document.getElementById('dieUnit').value;\r\n \r\n let prod = parseFloat(document.getElementById('productDiameter').value);\r\n const prodUnit = document.getElementById('productUnit').value;\r\n\r\n let meltD = parseFloat(document.getElementById('meltDensity').value);\r\n const meltDUnit = document.getElementById('meltDensityUnit').value;\r\n\r\n let prodD = parseFloat(document.getElementById('productDensity').value);\r\n const prodDUnit = document.getElementById('productDensityUnit').value;\r\n\r\n \/\/ Basic numerical validation\r\n if (isNaN(die) || isNaN(prod) || isNaN(meltD) || isNaN(prodD) || die <= 0 || prod <= 0 || meltD <= 0 || prodD <= 0) {\r\n alert(\"Please enter valid positive numbers for all parameters.\");\r\n return;\r\n }\r\n\r\n \/\/ Standardize Dimensions to mm\r\n if (dieUnit === 'in') die = die * 25.4;\r\n if (prodUnit === 'in') prod = prod * 25.4;\r\n\r\n \/\/ Standardize Densities to g\/L\r\n if (meltDUnit === 'lb_ft3') meltD = meltD * 16.0185;\r\n if (prodDUnit === 'lb_ft3') prodD = prodD * 16.0185;\r\n\r\n \/\/ Engineering Logic Validation\r\n if (prodD >= meltD) {\r\n alert(\"Final product density should normally be lower than unexpanded density for expanded extrudates.\");\r\n return;\r\n }\r\n\r\n \/\/ Calculations\r\n \/\/ 1. Diameter Expansion Ratio = Product Diameter \/ Die Diameter\r\n const diameterExpansionRatio = prod \/ die;\r\n\r\n \/\/ 2. Volumetric Expansion Ratio = Unexpanded Density \/ Final Product Density\r\n const volumetricRatio = meltD \/ prodD;\r\n\r\n \/\/ 3. Density Reduction Percentage\r\n const densityReduction = ((meltD - prodD) \/ meltD) * 100;\r\n\r\n \/\/ Display Results\r\n document.getElementById('diameterRatioVal').innerText = diameterExpansionRatio.toFixed(2) + 'x';\r\n document.getElementById('volumetricRatioVal').innerText = volumetricRatio.toFixed(2) + 'x';\r\n document.getElementById('densityReductionVal').innerText = (densityReduction > 0 ? densityReduction.toFixed(1) : '0.0') + '%';\r\n\r\n document.getElementById('resultsZone').style.display = 'block';\r\n }\r\n\r\n function resetCalculator() {\r\n document.getElementById('expansionForm').reset();\r\n document.getElementById('resultsZone').style.display = 'none';\r\n }\r\n<\/script>\r\n\r\n<\/body>\r\n<\/html>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a58f11 elementor-widget elementor-widget-html\" data-id=\"2a58f11\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\r\n<div class=\"zh-product-card\">\r\n <div class=\"zh-product-info\">\r\n <span class=\"zh-product-badge\">Solu\u00e7\u00e3o de equipamento chave na m\u00e3o<\/span>\r\n <h3 class=\"zh-product-title\">Linha de produ\u00e7\u00e3o autom\u00e1tica de snacks tufados<\/h3>\r\n <p class=\"zh-product-desc\">\r\n Descubra as avan\u00e7adas linhas de processamento por extrus\u00e3o de dupla rosca da Zhuoheng para espirais de milho, bolinhas tufadas, snacks recheados e chips de cereais, com configura\u00e7\u00f5es vers\u00e1teis e capacidades de produ\u00e7\u00e3o que v\u00e3o dos 100 kg\/h aos 1 500 kg\/h.\r\n <\/p>\r\n <\/div>\r\n <a href=\"https:\/\/zhuohengextruder.com\/pt\/Extruder-Machine\/puffed-food-machine\/\" class=\"zh-product-btn\" target=\"_blank\" rel=\"noopener\">\r\n Ver especifica\u00e7\u00f5es da linha \u2192\r\n <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-095faef elementor-widget elementor-widget-text-editor\" data-id=\"095faef\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<h2 data-path-to-node=\"6\">Calculadora da rela\u00e7\u00e3o de expans\u00e3o por extrus\u00e3o: Guia de engenharia e f\u00f3rmulas<\/h2><p data-path-to-node=\"7\">Para obter uma textura, densidade aparente e sensa\u00e7\u00e3o na boca precisas nos alimentos extrudidos, \u00e9 necess\u00e1rio compreender bem a mec\u00e2nica da expans\u00e3o. Quer esteja a fabricar snacks tufados por expans\u00e3o direta, ra\u00e7\u00e3o para animais de estima\u00e7\u00e3o com elevado teor proteico, ra\u00e7\u00e3o aqu\u00e1tica flutuante ou que afunda, ou prote\u00edna vegetal texturizada (TVP), controlar a expans\u00e3o do produto \u00e0 sa\u00edda da matriz \u00e9 crucial para o controlo de qualidade e a efici\u00eancia da embalagem.<\/p><p data-path-to-node=\"8\">Esta calculadora online da taxa de expans\u00e3o por extrus\u00e3o ajuda os engenheiros alimentares, os especialistas em I&D e os operadores de instala\u00e7\u00f5es a avaliar rapidamente os indicadores de expans\u00e3o f\u00edsica, utilizando par\u00e2metros de produ\u00e7\u00e3o normalizados.<\/p><h2 data-path-to-node=\"10\">O que \u00e9 o r\u00e1cio de expans\u00e3o por extrus\u00e3o?<\/h2><p data-path-to-node=\"11\">Quando uma massa rica em amido ou prote\u00ednas sai da matriz de uma extrusora de duplo parafuso ou de parafuso \u00fanico, sofre uma r\u00e1pida queda de press\u00e3o, passando das elevadas press\u00f5es do cilindro para a press\u00e3o atmosf\u00e9rica ambiente. A \u00e1gua sobreaquecida presente na matriz transforma-se instantaneamente em vapor, formando uma estrutura celular porosa no interior do extrudado.<\/p><p data-path-to-node=\"12\">O <b data-path-to-node=\"12\" data-index-in-node=\"4\">R\u00e1cio de expans\u00e3o<\/b> quantifica em que medida o produto cresce geometricamente ou diminui de densidade em rela\u00e7\u00e3o ao seu estado n\u00e3o expandido no interior do molde. Na extrus\u00e3o industrial de alimentos, duas m\u00e9tricas principais definem este fen\u00f3meno:<\/p><ol start=\"1\" data-path-to-node=\"13\"><li><p data-path-to-node=\"13,0,0\"><b data-path-to-node=\"13,0,0\" data-index-in-node=\"0\">R\u00e1cio de expans\u00e3o do di\u00e2metro (<span class=\"math-inline\" data-math=\"E_d\" data-index-in-node=\"26\">Uma vez para ti, uma vez para mim<\/span>):<\/b> Mede o crescimento radial da sec\u00e7\u00e3o transversal do extrudado em rela\u00e7\u00e3o ao di\u00e2metro do orif\u00edcio da matriz.<\/p><\/li><li><p data-path-to-node=\"13,1,0\"><b data-path-to-node=\"13,1,0\" data-index-in-node=\"0\">R\u00e1cio de expans\u00e3o volum\u00e9trica (<span class=\"math-inline\" data-math=\"E_v\" data-index-in-node=\"28\">uma vez, pela primeira vez<\/span>):<\/b> Avalia o crescimento total do volume tridimensional, comparando a densidade do extrudado n\u00e3o expandido com a densidade aparente final do produto expandido.<\/p><\/li><\/ol><h2 data-path-to-node=\"15\">Como se calculam os r\u00e1cios de expans\u00e3o por extrus\u00e3o?<\/h2><p data-path-to-node=\"16\">As f\u00f3rmulas matem\u00e1ticas utilizadas nesta ferramenta seguem princ\u00edpios estabelecidos da engenharia de processos alimentares (frequentemente citados na literatura sobre extrus\u00e3o alimentar por Harper, Guy e Mian Riaz):<\/p><h3 data-path-to-node=\"17\">1. F\u00f3rmula da rela\u00e7\u00e3o de expans\u00e3o do di\u00e2metro<\/h3><div data-path-to-node=\"18\"><div class=\"math-block\" data-math=\"\\text{Diameter Expansion Ratio } (E_d) = \\frac{D_{\\text{extrudate}}}{D_{\\text{die}}}\">$$\\text{R\u00e1cio de expans\u00e3o do di\u00e2metro } (E_d) = \\frac{D_{\\text{extrudado}}}{D_{\\text{matriz}}}$$<\/div><\/div><ul data-path-to-node=\"19\"><li><p data-path-to-node=\"19,0,0\"><b data-path-to-node=\"19,0,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"D_{\\text{extrudate}}\" data-index-in-node=\"0\">$D_{\\text{extrudidos}}$<\/span>:<\/b> O di\u00e2metro exterior medido do produto final (mm ou polegadas).<\/p><\/li><li><p data-path-to-node=\"19,1,0\"><b data-path-to-node=\"19,1,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"D_{\\text{die}}\" data-index-in-node=\"0\">$D_{\\text{a}}$<\/span>:<\/b> O di\u00e2metro do orif\u00edcio do bico da matriz (mm ou polegadas).<\/p><\/li><\/ul><p data-path-to-node=\"20\"><i data-path-to-node=\"20\" data-index-in-node=\"0\">Exemplo:<\/i> Se o di\u00e2metro do bico da matriz for <b data-path-to-node=\"20\" data-index-in-node=\"37\">3,0 mm<\/b> e o produto final mede <b data-path-to-node=\"20\" data-index-in-node=\"75\">12,0 mm<\/b>, o r\u00e1cio de expans\u00e3o do di\u00e2metro \u00e9 <b data-path-to-node=\"20\" data-index-in-node=\"116\">4,00x<\/b>.<\/p><h3 data-path-to-node=\"21\">2. F\u00f3rmula do r\u00e1cio de expans\u00e3o volum\u00e9trica<\/h3><div data-path-to-node=\"22\"><div class=\"math-block\" data-math=\"\\text{Volumetric Expansion Ratio } (E_v) = \\frac{\\rho_{\\text{unexpanded}}}{\\rho_{\\text{final}}}\">$$\\text{R\u00e1cio de expans\u00e3o volum\u00e9trica } (E_v) = \\frac{\\rho_{\\text{n\u00e3o expandido}}}{\\rho_{\\text{final}}}$$<\/div><\/div><ul data-path-to-node=\"23\"><li><p data-path-to-node=\"23,0,0\"><b data-path-to-node=\"23,0,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"\\rho_{\\text{unexpanded}}\" data-index-in-node=\"0\">$\\rho_{\\text{n\u00e3o expandido}}$<\/span>:<\/b> A densidade do extrudado n\u00e3o expandido antes da expans\u00e3o, \u00e0 sa\u00edda da matriz (g\/L ou lb\/ft\u00b3).<\/p><\/li><li><p data-path-to-node=\"23,1,0\"><b data-path-to-node=\"23,1,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"\\rho_{\\text{final}}\" data-index-in-node=\"0\">$\\rho_{\\text{final}}$<\/span>:<\/b> Densidade aparente do produto final extrudido (g\/L ou lb\/ft\u00b3).<\/p><\/li><\/ul><p data-path-to-node=\"24\"><i data-path-to-node=\"24\" data-index-in-node=\"0\">Exemplo:<\/i> Se a densidade do extrudado n\u00e3o expandido for <b data-path-to-node=\"24\" data-index-in-node=\"48\">450 g\/L<\/b> e a densidade aparente do produto final desce para <b data-path-to-node=\"24\" data-index-in-node=\"100\">60 g\/L<\/b>, o r\u00e1cio de expans\u00e3o volum\u00e9trica \u00e9 <b data-path-to-node=\"24\" data-index-in-node=\"142\">7,50x<\/b>.<\/p><h3 data-path-to-node=\"25\">3. F\u00f3rmula de redu\u00e7\u00e3o da densidade relativa<\/h3><div data-path-to-node=\"26\"><div class=\"math-block\" data-math=\"\\text{Density Reduction } (\\%) = \\left( 1 - \\frac{\\rho_{\\text{final}}}{\\rho_{\\text{unexpanded}}} \\right) \\times 100\">$$\\text{Redu\u00e7\u00e3o da densidade } (\\%) = \\left( 1 \u2013 \\frac{\\rho_{\\text{final}}}{\\rho_{\\text{n\u00e3o expandida}}} \\right) \\times 100$$<\/div><\/div><p data-path-to-node=\"27\">Esta percentagem indica a redu\u00e7\u00e3o global da densidade aparente e reflete o desenvolvimento de uma estrutura celular mais leve durante o processo de expans\u00e3o.<\/p><h2 data-path-to-node=\"29\">Fatores-chave que influenciam a expans\u00e3o da gama de produtos<\/h2><p data-path-to-node=\"30\">Embora esta calculadora forne\u00e7a estimativas geom\u00e9tricas e de densidade instant\u00e2neas, a expans\u00e3o por extrus\u00e3o na pr\u00e1tica \u00e9 um processo termomec\u00e2nico din\u00e2mico regido por v\u00e1rias vari\u00e1veis que interagem entre si:<\/p><ul data-path-to-node=\"31\"><li><p data-path-to-node=\"31,0,0\"><b data-path-to-node=\"31,0,0\" data-index-in-node=\"0\">Tipo de amido e gelatiniza\u00e7\u00e3o:<\/b> Um teor mais elevado de amilopectina promove frequentemente um maior potencial de expans\u00e3o e uma maior elasticidade da parede celular, em compara\u00e7\u00e3o com as formula\u00e7\u00f5es com elevado teor de amilose.<\/p><\/li><li><p data-path-to-node=\"31,1,0\"><b data-path-to-node=\"31,1,0\" data-index-in-node=\"0\">Temperatura de fus\u00e3o e press\u00e3o da matriz:<\/b> As temperaturas elevadas do cilindro aumentam a press\u00e3o de vapor a jusante da matriz, provocando a forma\u00e7\u00e3o instant\u00e2nea de vapor. No entanto, uma temperatura excessiva pode tamb\u00e9m enfraquecer a estrutura da parede celular e conduzir ao colapso t\u00e9rmico.<\/p><\/li><li><p data-path-to-node=\"31,2,0\"><b data-path-to-node=\"31,2,0\" data-index-in-node=\"0\">Teor de humidade:<\/b> A \u00e1gua atua tanto como plastificante como agente de expans\u00e3o principal. O teor de humidade ideal depende em grande medida da formula\u00e7\u00e3o espec\u00edfica do produto e do processo de extrus\u00e3o. N\u00edveis moderados de humidade melhoram o fluxo da massa fundida, enquanto a humidade excessiva pode reduzir a viscosidade da massa fundida e limitar a expans\u00e3o.<\/p><\/li><li><p data-path-to-node=\"31,3,0\"><b data-path-to-node=\"31,3,0\" data-index-in-node=\"0\">Energia mec\u00e2nica espec\u00edfica (SME):<\/b> Taxas de cisalhamento do parafuso mais elevadas alteram a despolimeriza\u00e7\u00e3o do amido e a viscosidade do material fundido, influenciando diretamente a distribui\u00e7\u00e3o do tamanho das c\u00e9lulas e a croc\u00e2ncia do produto.<\/p><\/li><\/ul><h2 data-path-to-node=\"33\">Aplica\u00e7\u00f5es industriais<\/h2><p data-path-to-node=\"34\">Esta calculadora de expans\u00e3o foi concebida para a otimiza\u00e7\u00e3o de processos em v\u00e1rias linhas de produ\u00e7\u00e3o de extrus\u00e3o comercial:<\/p><ul data-path-to-node=\"35\"><li><p data-path-to-node=\"35,0,0\"><b data-path-to-node=\"35,0,0\" data-index-in-node=\"0\">Alimentos para animais de estima\u00e7\u00e3o e ra\u00e7\u00f5es para peixes:<\/b> Calibrar a densidade aparente das ra\u00e7\u00f5es secas para garantir pesos precisos no enchimento das embalagens e gerir as caracter\u00edsticas de afundamento e flutua\u00e7\u00e3o nas ra\u00e7\u00f5es aqu\u00e1ticas.<\/p><\/li><li><p data-path-to-node=\"35,1,0\"><b data-path-to-node=\"35,1,0\" data-index-in-node=\"0\">Snacks de expans\u00e3o direta:<\/b> Otimiza\u00e7\u00e3o da croc\u00e2ncia, da resist\u00eancia estrutural e da capacidade de absor\u00e7\u00e3o de \u00f3leo em rolinhos de milho, bolinhas de snack e bolachas de arroz estaladi\u00e7as.<\/p><\/li><li><p data-path-to-node=\"35,2,0\"><b data-path-to-node=\"35,2,0\" data-index-in-node=\"0\">Prote\u00edna Vegetal Texturizada (TVP):<\/b> Monitoriza\u00e7\u00e3o do comportamento de expans\u00e3o longitudinal versus radial para obter texturas fibrosas aut\u00eanticas, semelhantes \u00e0s da carne, a partir de isolado de soja ou prote\u00edna de ervilha.<\/p><\/li><\/ul><h2 data-path-to-node=\"37\">Perguntas frequentes (FAQ)<\/h2><h3 data-path-to-node=\"38\">Qual \u00e9 uma boa taxa de expans\u00e3o por extrus\u00e3o?<\/h3><p data-path-to-node=\"39\">Os \u00edndices de expans\u00e3o pretendidos variam significativamente consoante a aplica\u00e7\u00e3o. Os snacks tufados por expans\u00e3o direta visam normalmente \u00edndices de expans\u00e3o elevados (3x a 6x+), enquanto que as ra\u00e7\u00f5es para animais de estima\u00e7\u00e3o e a ra\u00e7\u00e3o para peixes d\u00e3o prioridade \u00e0 densidade controlada e \u00e0 durabilidade estrutural, com \u00edndices de expans\u00e3o mais baixos.<\/p><h3 data-path-to-node=\"40\">De que forma a humidade afeta a expans\u00e3o por extrus\u00e3o?<\/h3><p data-path-to-node=\"41\">A humidade funciona tanto como plastificante como fonte principal de vapor para o processo de expans\u00e3o. O n\u00edvel ideal de humidade depende da formula\u00e7\u00e3o, da configura\u00e7\u00e3o do parafuso e da densidade pretendida. Uma humidade insuficiente limita a gera\u00e7\u00e3o de vapor, enquanto uma humidade excessiva reduz a viscosidade da massa fundida, levando ao colapso das c\u00e9lulas.<\/p><h3 data-path-to-node=\"42\">Esta calculadora consegue determinar a capacidade de produ\u00e7\u00e3o exata de uma extrusora?<\/h3><p data-path-to-node=\"43\">N\u00e3o. Esta ferramenta estima os par\u00e2metros de expans\u00e3o f\u00edsica com base nas dimens\u00f5es e densidades. O rendimento da produ\u00e7\u00e3o depende das taxas de dosagem do alimentador, da velocidade do motor, da geometria do parafuso e da conce\u00e7\u00e3o geral da linha de produ\u00e7\u00e3o.<\/p><h2 data-path-to-node=\"45\">Precisa de aconselhamento t\u00e9cnico ou de engenharia de linhas personalizadas?<\/h2><p data-path-to-node=\"46\">Testar varia\u00e7\u00f5es de receitas ou passar de linhas-piloto de laborat\u00f3rio para sistemas de extrus\u00e3o comerciais de alta capacidade requer um projeto especializado das matrizes e configura\u00e7\u00f5es espec\u00edficas do perfil do parafuso.<\/p><p data-path-to-node=\"47\">Se necessitar de ensaios precisos em instala\u00e7\u00f5es-piloto, otimiza\u00e7\u00f5es do comprimento da superf\u00edcie de contacto da matriz ou configura\u00e7\u00f5es personalizadas de extrusoras de duplo parafuso, n\u00e3o hesite em contactar a nossa equipa t\u00e9cnica atrav\u00e9s do <b data-path-to-node=\"47\" data-index-in-node=\"161\">M\u00e1quinas de extrus\u00e3o Zhuoheng<\/b>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Extrusion Expansion Ratio Calculator Extrusion Expansion Ratio Calculator Calculate diameter & volumetric expansion ratios and density reduction for puffed food, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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\n\t\t\t\t\t\r\n\r\n\r\n \r\n \r\n Extrusion Expansion Ratio Calculator<\/title>\r\n <style>\r\n \/* Reset & Container Setup *\/\r\n .zhuoheng-calc-wrapper * {\r\n box-sizing: border-box;\r\n font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Helvetica, Arial, sans-serif;\r\n }\r\n \r\n .zhuoheng-calc-wrapper {\r\n max-width: 800px;\r\n margin: 20px auto;\r\n border: 1px solid #e2e8f0;\r\n border-radius: 12px;\r\n overflow: hidden;\r\n background-color: #ffffff;\r\n box-shadow: 0 10px 25px rgba(0, 0, 0, 0.05);\r\n }\r\n\r\n \/* 1. Header Area: Blue Background, White Text *\/\r\n .calc-header {\r\n background-color: #0b5ed7;\r\n color: #ffffff;\r\n padding: 32px 24px;\r\n text-align: center;\r\n }\r\n\r\n .calc-header h1 {\r\n margin: 0 0 10px 0;\r\n font-size: 26px;\r\n font-weight: 700;\r\n color: #ffffff;\r\n line-height: 1.3;\r\n }\r\n\r\n .calc-header p {\r\n margin: 0;\r\n font-size: 14px;\r\n color: #e0eafc;\r\n line-height: 1.5;\r\n }\r\n\r\n \/* 2. Form Body *\/\r\n .calc-body {\r\n padding: 28px 24px;\r\n background-color: #f8fafc;\r\n }\r\n\r\n .calc-grid {\r\n display: grid;\r\n grid-template-columns: repeat(auto-fit, minmax(280px, 1fr));\r\n gap: 20px;\r\n margin-bottom: 24px;\r\n }\r\n\r\n .input-group {\r\n display: flex;\r\n flex-direction: column;\r\n }\r\n\r\n .input-group label {\r\n font-size: 13px;\r\n font-weight: 600;\r\n color: #1e293b;\r\n margin-bottom: 6px;\r\n }\r\n\r\n .input-control-wrap {\r\n display: flex;\r\n border: 1px solid #cbd5e1;\r\n border-radius: 6px;\r\n overflow: hidden;\r\n background: #ffffff;\r\n transition: border-color 0.2s ease;\r\n }\r\n\r\n .input-control-wrap:focus-within {\r\n border-color: #0b5ed7;\r\n box-shadow: 0 0 0 3px rgba(11, 94, 215, 0.15);\r\n }\r\n\r\n .input-control-wrap input {\r\n flex: 1;\r\n border: none;\r\n padding: 10px 12px;\r\n font-size: 15px;\r\n outline: none;\r\n color: #0f172a;\r\n width: 100%;\r\n }\r\n\r\n .input-control-wrap select {\r\n border: none;\r\n border-left: 1px solid #e2e8f0;\r\n background-color: #f1f5f9;\r\n padding: 0 10px;\r\n font-size: 13px;\r\n color: #475569;\r\n outline: none;\r\n cursor: pointer;\r\n }\r\n\r\n \/* Buttons Style *\/\r\n .calc-btn-group {\r\n display: flex;\r\n gap: 12px;\r\n margin-top: 8px;\r\n }\r\n\r\n \/* Blue Buttons, White Text *\/\r\n .btn-blue {\r\n flex: 1;\r\n background-color: #0b5ed7;\r\n color: #ffffff;\r\n border: none;\r\n padding: 12px 20px;\r\n font-size: 15px;\r\n font-weight: 600;\r\n border-radius: 6px;\r\n cursor: pointer;\r\n transition: background-color 0.2s ease, transform 0.1s ease;\r\n text-align: center;\r\n }\r\n\r\n .btn-blue:hover {\r\n background-color: #0a58ca;\r\n }\r\n\r\n .btn-blue:active {\r\n transform: scale(0.99);\r\n }\r\n\r\n .btn-outline-blue {\r\n background-color: #ffffff;\r\n color: #0b5ed7;\r\n border: 1px solid #0b5ed7;\r\n padding: 12px 20px;\r\n font-size: 15px;\r\n font-weight: 600;\r\n border-radius: 6px;\r\n cursor: pointer;\r\n transition: all 0.2s ease;\r\n text-align: center;\r\n }\r\n\r\n .btn-outline-blue:hover {\r\n background-color: #eff6ff;\r\n }\r\n\r\n \/* Results Section *\/\r\n .calc-results-zone {\r\n margin-top: 28px;\r\n padding-top: 24px;\r\n border-top: 2px dashed #e2e8f0;\r\n display: none; \/* Dynamic Display *\/\r\n }\r\n\r\n .results-grid {\r\n display: grid;\r\n grid-template-columns: repeat(auto-fit, minmax(200px, 1fr));\r\n gap: 16px;\r\n margin-bottom: 20px;\r\n }\r\n\r\n .result-card {\r\n background: #ffffff;\r\n border: 1px solid #bfdbfe;\r\n border-radius: 8px;\r\n padding: 16px;\r\n text-align: center;\r\n }\r\n\r\n .result-card .res-title {\r\n font-size: 12px;\r\n font-weight: 600;\r\n text-transform: uppercase;\r\n letter-spacing: 0.5px;\r\n color: #475569;\r\n margin-bottom: 6px;\r\n }\r\n\r\n .result-card .res-value {\r\n font-size: 24px;\r\n font-weight: 700;\r\n color: #0b5ed7;\r\n }\r\n\r\n .result-card .res-unit {\r\n font-size: 12px;\r\n color: #64748b;\r\n margin-top: 2px;\r\n }\r\n\r\n \/* CTA Section: Yellow Background, Purple Text *\/\r\n .cta-wrapper {\r\n margin-top: 24px;\r\n text-align: center;\r\n }\r\n\r\n .btn-cta-yellow {\r\n display: inline-block;\r\n width: 100%;\r\n background-color: #ffc107;\r\n color: #4a154b; \/* Deep Purple *\/\r\n font-weight: 700;\r\n font-size: 16px;\r\n padding: 14px 24px;\r\n text-decoration: none;\r\n border-radius: 6px;\r\n border: none;\r\n box-shadow: 0 4px 12px rgba(255, 193, 7, 0.3);\r\n transition: all 0.2s ease;\r\n box-sizing: border-box;\r\n }\r\n\r\n .btn-cta-yellow:hover {\r\n background-color: #ffca2c;\r\n color: #300d32;\r\n transform: translateY(-1px);\r\n box-shadow: 0 6px 16px rgba(255, 193, 7, 0.4);\r\n }\r\n\r\n \/* Disclaimer Styling *\/\r\n .disclaimer-text {\r\n font-size: 12px;\r\n color: #64748b;\r\n line-height: 1.5;\r\n margin-top: 16px;\r\n text-align: center;\r\n padding: 0 10px;\r\n }\r\n\r\n @media (max-width: 600px) {\r\n .calc-btn-group {\r\n flex-direction: column;\r\n }\r\n .calc-header h1 {\r\n font-size: 22px;\r\n }\r\n }\r\n <\/style>\r\n<\/head>\r\n<body>\r\n\r\n<div class=\"zhuoheng-calc-wrapper\">\r\n \r\n <div class=\"calc-header\">\r\n <h1>Calculadora do r\u00e1cio de expans\u00e3o por extrus\u00e3o<\/h1>\r\n <p>Calcular os r\u00e1cios de expans\u00e3o do di\u00e2metro e volum\u00e9trica, bem como a redu\u00e7\u00e3o da densidade, para alimentos tufados, alimentos para animais de estima\u00e7\u00e3o e extrudados de prote\u00ednas texturizadas.<\/p>\r\n <\/div>\r\n\r\n \r\n <div class=\"calc-body\">\r\n <form id=\"expansionForm\" action=\"\">\r\n <div class=\"calc-grid\">\r\n \r\n <div class=\"input-group\">\r\n <label for=\"dieDiameter\">Di\u00e2metro do bico<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"dieDiameter\" step=\"any\" placeholder=\"por exemplo, 3,0\" value=\"3.0\" required>\r\n <select id=\"dieUnit\">\r\n <option value=\"mm\" selected>mm<\/option>\r\n <option value=\"in\">em<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <div class=\"input-group\">\r\n <label for=\"productDiameter\">Di\u00e2metro do produto extrudido<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"productDiameter\" step=\"any\" placeholder=\"por exemplo, 12,0\" value=\"12.0\" required>\r\n <select id=\"productUnit\">\r\n <option value=\"mm\" selected>mm<\/option>\r\n <option value=\"in\">em<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <div class=\"input-group\">\r\n <label for=\"meltDensity\">Densidade do extrudado n\u00e3o expandido<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"meltDensity\" step=\"any\" placeholder=\"por exemplo, 450\" value=\"450\" required>\r\n <select id=\"meltDensityUnit\">\r\n <option value=\"g_l\" selected>g\/L<\/option>\r\n <option value=\"lb_ft3\">libras por p\u00e9 c\u00fabico<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <div class=\"input-group\">\r\n <label for=\"productDensity\">Densidade aparente do produto final<\/label>\r\n <div class=\"input-control-wrap\">\r\n <input type=\"number\" id=\"productDensity\" step=\"any\" placeholder=\"por exemplo, 60\" value=\"60\" required>\r\n <select id=\"productDensityUnit\">\r\n <option value=\"g_l\" selected>g\/L<\/option>\r\n <option value=\"lb_ft3\">libras por p\u00e9 c\u00fabico<\/option>\r\n <\/select>\r\n <\/div>\r\n <\/div>\r\n\r\n <\/div>\r\n\r\n \r\n <div class=\"calc-btn-group\">\r\n <button type=\"button\" class=\"btn-blue\" onclick=\"calculateExpansion()\">Calcular resultados<\/button>\r\n <button type=\"button\" class=\"btn-outline-blue\" onclick=\"resetCalculator()\">Reiniciar formul\u00e1rio<\/button>\r\n <\/div>\r\n <input type=\"hidden\" name=\"trp-form-language\" value=\"pt\"\/><\/form>\r\n\r\n \r\n <div class=\"calc-results-zone\" id=\"resultsZone\">\r\n <div class=\"results-grid\">\r\n <div class=\"result-card\">\r\n <div class=\"res-title\">R\u00e1cio de expans\u00e3o do di\u00e2metro<\/div>\r\n <div class=\"res-value\" id=\"diameterRatioVal\">0.00<\/div>\r\n <div class=\"res-unit\">(Di\u00e2metro do extrudado \u00f7 di\u00e2metro da matriz)<\/div>\r\n <\/div>\r\n <div class=\"result-card\">\r\n <div class=\"res-title\">R\u00e1cio de expans\u00e3o volum\u00e9trica<\/div>\r\n <div class=\"res-value\" id=\"volumetricRatioVal\">0.00<\/div>\r\n <div class=\"res-unit\">(densidade n\u00e3o expandida \u00f7 densidade expandida)<\/div>\r\n <\/div>\r\n <div class=\"result-card\">\r\n <div class=\"res-title\">Redu\u00e7\u00e3o da densidade<\/div>\r\n <div class=\"res-value\" id=\"densityReductionVal\">0.0%<\/div>\r\n <div class=\"res-unit\">(Diminui\u00e7\u00e3o da densidade relativa)<\/div>\r\n <\/div>\r\n <\/div>\r\n\r\n \r\n <div class=\"cta-wrapper\">\r\n <a href=\"https:\/\/zhuohengextruder.com\/pt\/contact\/\" target=\"_blank\" class=\"btn-cta-yellow\">\r\n Obtenha um or\u00e7amento detalhado por linha e aconselhamento sobre f\u00f3rmulas\r\n <\/a>\r\n <\/div>\r\n\r\n \r\n <div class=\"disclaimer-text\">\r\n Nota: Os valores de expans\u00e3o calculados destinam-se apenas a servir de refer\u00eancia t\u00e9cnica. As taxas reais de expans\u00e3o na produ\u00e7\u00e3o s\u00e3o fortemente influenciadas pelo grau de gelatinizac\u00e3o do amido, pela temperatura do cilindro, pelo teor de humidade e pela configura\u00e7\u00e3o do cisalhamento do parafuso. Consulte os nossos engenheiros t\u00e9cnicos para a realiza\u00e7\u00e3o de ensaios precisos em linha piloto.\r\n <\/div>\r\n <\/div>\r\n\r\n <\/div>\r\n<\/div>\r\n\r\n<script>\r\n function calculateExpansion() {\r\n \/\/ Inputs & Units\r\n let die = parseFloat(document.getElementById('dieDiameter').value);\r\n const dieUnit = document.getElementById('dieUnit').value;\r\n \r\n let prod = parseFloat(document.getElementById('productDiameter').value);\r\n const prodUnit = document.getElementById('productUnit').value;\r\n\r\n let meltD = parseFloat(document.getElementById('meltDensity').value);\r\n const meltDUnit = document.getElementById('meltDensityUnit').value;\r\n\r\n let prodD = parseFloat(document.getElementById('productDensity').value);\r\n const prodDUnit = document.getElementById('productDensityUnit').value;\r\n\r\n \/\/ Basic numerical validation\r\n if (isNaN(die) || isNaN(prod) || isNaN(meltD) || isNaN(prodD) || die <= 0 || prod <= 0 || meltD <= 0 || prodD <= 0) {\r\n alert(\"Please enter valid positive numbers for all parameters.\");\r\n return;\r\n }\r\n\r\n \/\/ Standardize Dimensions to mm\r\n if (dieUnit === 'in') die = die * 25.4;\r\n if (prodUnit === 'in') prod = prod * 25.4;\r\n\r\n \/\/ Standardize Densities to g\/L\r\n if (meltDUnit === 'lb_ft3') meltD = meltD * 16.0185;\r\n if (prodDUnit === 'lb_ft3') prodD = prodD * 16.0185;\r\n\r\n \/\/ Engineering Logic Validation\r\n if (prodD >= meltD) {\r\n alert(\"Final product density should normally be lower than unexpanded density for expanded extrudates.\");\r\n return;\r\n }\r\n\r\n \/\/ Calculations\r\n \/\/ 1. Diameter Expansion Ratio = Product Diameter \/ Die Diameter\r\n const diameterExpansionRatio = prod \/ die;\r\n\r\n \/\/ 2. Volumetric Expansion Ratio = Unexpanded Density \/ Final Product Density\r\n const volumetricRatio = meltD \/ prodD;\r\n\r\n \/\/ 3. Density Reduction Percentage\r\n const densityReduction = ((meltD - prodD) \/ meltD) * 100;\r\n\r\n \/\/ Display Results\r\n document.getElementById('diameterRatioVal').innerText = diameterExpansionRatio.toFixed(2) + 'x';\r\n document.getElementById('volumetricRatioVal').innerText = volumetricRatio.toFixed(2) + 'x';\r\n document.getElementById('densityReductionVal').innerText = (densityReduction > 0 ? densityReduction.toFixed(1) : '0.0') + '%';\r\n\r\n document.getElementById('resultsZone').style.display = 'block';\r\n }\r\n\r\n function resetCalculator() {\r\n document.getElementById('expansionForm').reset();\r\n document.getElementById('resultsZone').style.display = 'none';\r\n }\r\n<\/script>\r\n\r\n<\/body>\r\n<\/html>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a58f11 elementor-widget elementor-widget-html\" data-id=\"2a58f11\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\r\n<div class=\"zh-product-card\">\r\n <div class=\"zh-product-info\">\r\n <span class=\"zh-product-badge\">Solu\u00e7\u00e3o de equipamento chave na m\u00e3o<\/span>\r\n <h3 class=\"zh-product-title\">Linha de produ\u00e7\u00e3o autom\u00e1tica de snacks tufados<\/h3>\r\n <p class=\"zh-product-desc\">\r\n Descubra as avan\u00e7adas linhas de processamento por extrus\u00e3o de dupla rosca da Zhuoheng para espirais de milho, bolinhas tufadas, snacks recheados e chips de cereais, com configura\u00e7\u00f5es vers\u00e1teis e capacidades de produ\u00e7\u00e3o que v\u00e3o dos 100 kg\/h aos 1 500 kg\/h.\r\n <\/p>\r\n <\/div>\r\n <a href=\"https:\/\/zhuohengextruder.com\/pt\/Extruder-Machine\/puffed-food-machine\/\" class=\"zh-product-btn\" target=\"_blank\" rel=\"noopener\">\r\n Ver especifica\u00e7\u00f5es da linha \u2192\r\n <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-095faef elementor-widget elementor-widget-text-editor\" data-id=\"095faef\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<h2 data-path-to-node=\"6\">Calculadora da rela\u00e7\u00e3o de expans\u00e3o por extrus\u00e3o: Guia de engenharia e f\u00f3rmulas<\/h2><p data-path-to-node=\"7\">Para obter uma textura, densidade aparente e sensa\u00e7\u00e3o na boca precisas nos alimentos extrudidos, \u00e9 necess\u00e1rio compreender bem a mec\u00e2nica da expans\u00e3o. Quer esteja a fabricar snacks tufados por expans\u00e3o direta, ra\u00e7\u00e3o para animais de estima\u00e7\u00e3o com elevado teor proteico, ra\u00e7\u00e3o aqu\u00e1tica flutuante ou que afunda, ou prote\u00edna vegetal texturizada (TVP), controlar a expans\u00e3o do produto \u00e0 sa\u00edda da matriz \u00e9 crucial para o controlo de qualidade e a efici\u00eancia da embalagem.<\/p><p data-path-to-node=\"8\">Esta calculadora online da taxa de expans\u00e3o por extrus\u00e3o ajuda os engenheiros alimentares, os especialistas em I&D e os operadores de instala\u00e7\u00f5es a avaliar rapidamente os indicadores de expans\u00e3o f\u00edsica, utilizando par\u00e2metros de produ\u00e7\u00e3o normalizados.<\/p><h2 data-path-to-node=\"10\">O que \u00e9 o r\u00e1cio de expans\u00e3o por extrus\u00e3o?<\/h2><p data-path-to-node=\"11\">Quando uma massa rica em amido ou prote\u00ednas sai da matriz de uma extrusora de duplo parafuso ou de parafuso \u00fanico, sofre uma r\u00e1pida queda de press\u00e3o, passando das elevadas press\u00f5es do cilindro para a press\u00e3o atmosf\u00e9rica ambiente. A \u00e1gua sobreaquecida presente na matriz transforma-se instantaneamente em vapor, formando uma estrutura celular porosa no interior do extrudado.<\/p><p data-path-to-node=\"12\">O <b data-path-to-node=\"12\" data-index-in-node=\"4\">R\u00e1cio de expans\u00e3o<\/b> quantifica em que medida o produto cresce geometricamente ou diminui de densidade em rela\u00e7\u00e3o ao seu estado n\u00e3o expandido no interior do molde. Na extrus\u00e3o industrial de alimentos, duas m\u00e9tricas principais definem este fen\u00f3meno:<\/p><ol start=\"1\" data-path-to-node=\"13\"><li><p data-path-to-node=\"13,0,0\"><b data-path-to-node=\"13,0,0\" data-index-in-node=\"0\">R\u00e1cio de expans\u00e3o do di\u00e2metro (<span class=\"math-inline\" data-math=\"E_d\" data-index-in-node=\"26\">Uma vez para ti, uma vez para mim<\/span>):<\/b> Mede o crescimento radial da sec\u00e7\u00e3o transversal do extrudado em rela\u00e7\u00e3o ao di\u00e2metro do orif\u00edcio da matriz.<\/p><\/li><li><p data-path-to-node=\"13,1,0\"><b data-path-to-node=\"13,1,0\" data-index-in-node=\"0\">R\u00e1cio de expans\u00e3o volum\u00e9trica (<span class=\"math-inline\" data-math=\"E_v\" data-index-in-node=\"28\">uma vez, pela primeira vez<\/span>):<\/b> Avalia o crescimento total do volume tridimensional, comparando a densidade do extrudado n\u00e3o expandido com a densidade aparente final do produto expandido.<\/p><\/li><\/ol><h2 data-path-to-node=\"15\">Como se calculam os r\u00e1cios de expans\u00e3o por extrus\u00e3o?<\/h2><p data-path-to-node=\"16\">As f\u00f3rmulas matem\u00e1ticas utilizadas nesta ferramenta seguem princ\u00edpios estabelecidos da engenharia de processos alimentares (frequentemente citados na literatura sobre extrus\u00e3o alimentar por Harper, Guy e Mian Riaz):<\/p><h3 data-path-to-node=\"17\">1. F\u00f3rmula da rela\u00e7\u00e3o de expans\u00e3o do di\u00e2metro<\/h3><div data-path-to-node=\"18\"><div class=\"math-block\" data-math=\"\\text{Diameter Expansion Ratio } (E_d) = \\frac{D_{\\text{extrudate}}}{D_{\\text{die}}}\">$$\\text{R\u00e1cio de expans\u00e3o do di\u00e2metro } (E_d) = \\frac{D_{\\text{extrudado}}}{D_{\\text{matriz}}}$$<\/div><\/div><ul data-path-to-node=\"19\"><li><p data-path-to-node=\"19,0,0\"><b data-path-to-node=\"19,0,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"D_{\\text{extrudate}}\" data-index-in-node=\"0\">$D_{\\text{extrudidos}}$<\/span>:<\/b> O di\u00e2metro exterior medido do produto final (mm ou polegadas).<\/p><\/li><li><p data-path-to-node=\"19,1,0\"><b data-path-to-node=\"19,1,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"D_{\\text{die}}\" data-index-in-node=\"0\">$D_{\\text{a}}$<\/span>:<\/b> O di\u00e2metro do orif\u00edcio do bico da matriz (mm ou polegadas).<\/p><\/li><\/ul><p data-path-to-node=\"20\"><i data-path-to-node=\"20\" data-index-in-node=\"0\">Exemplo:<\/i> Se o di\u00e2metro do bico da matriz for <b data-path-to-node=\"20\" data-index-in-node=\"37\">3,0 mm<\/b> e o produto final mede <b data-path-to-node=\"20\" data-index-in-node=\"75\">12,0 mm<\/b>, o r\u00e1cio de expans\u00e3o do di\u00e2metro \u00e9 <b data-path-to-node=\"20\" data-index-in-node=\"116\">4,00x<\/b>.<\/p><h3 data-path-to-node=\"21\">2. F\u00f3rmula do r\u00e1cio de expans\u00e3o volum\u00e9trica<\/h3><div data-path-to-node=\"22\"><div class=\"math-block\" data-math=\"\\text{Volumetric Expansion Ratio } (E_v) = \\frac{\\rho_{\\text{unexpanded}}}{\\rho_{\\text{final}}}\">$$\\text{R\u00e1cio de expans\u00e3o volum\u00e9trica } (E_v) = \\frac{\\rho_{\\text{n\u00e3o expandido}}}{\\rho_{\\text{final}}}$$<\/div><\/div><ul data-path-to-node=\"23\"><li><p data-path-to-node=\"23,0,0\"><b data-path-to-node=\"23,0,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"\\rho_{\\text{unexpanded}}\" data-index-in-node=\"0\">$\\rho_{\\text{n\u00e3o expandido}}$<\/span>:<\/b> A densidade do extrudado n\u00e3o expandido antes da expans\u00e3o, \u00e0 sa\u00edda da matriz (g\/L ou lb\/ft\u00b3).<\/p><\/li><li><p data-path-to-node=\"23,1,0\"><b data-path-to-node=\"23,1,0\" data-index-in-node=\"0\"><span class=\"math-inline\" data-math=\"\\rho_{\\text{final}}\" data-index-in-node=\"0\">$\\rho_{\\text{final}}$<\/span>:<\/b> Densidade aparente do produto final extrudido (g\/L ou lb\/ft\u00b3).<\/p><\/li><\/ul><p data-path-to-node=\"24\"><i data-path-to-node=\"24\" data-index-in-node=\"0\">Exemplo:<\/i> Se a densidade do extrudado n\u00e3o expandido for <b data-path-to-node=\"24\" data-index-in-node=\"48\">450 g\/L<\/b> e a densidade aparente do produto final desce para <b data-path-to-node=\"24\" data-index-in-node=\"100\">60 g\/L<\/b>, o r\u00e1cio de expans\u00e3o volum\u00e9trica \u00e9 <b data-path-to-node=\"24\" data-index-in-node=\"142\">7,50x<\/b>.<\/p><h3 data-path-to-node=\"25\">3. F\u00f3rmula de redu\u00e7\u00e3o da densidade relativa<\/h3><div data-path-to-node=\"26\"><div class=\"math-block\" data-math=\"\\text{Density Reduction } (\\%) = \\left( 1 - \\frac{\\rho_{\\text{final}}}{\\rho_{\\text{unexpanded}}} \\right) \\times 100\">$$\\text{Redu\u00e7\u00e3o da densidade } (\\%) = \\left( 1 \u2013 \\frac{\\rho_{\\text{final}}}{\\rho_{\\text{n\u00e3o expandida}}} \\right) \\times 100$$<\/div><\/div><p data-path-to-node=\"27\">Esta percentagem indica a redu\u00e7\u00e3o global da densidade aparente e reflete o desenvolvimento de uma estrutura celular mais leve durante o processo de expans\u00e3o.<\/p><h2 data-path-to-node=\"29\">Fatores-chave que influenciam a expans\u00e3o da gama de produtos<\/h2><p data-path-to-node=\"30\">Embora esta calculadora forne\u00e7a estimativas geom\u00e9tricas e de densidade instant\u00e2neas, a expans\u00e3o por extrus\u00e3o na pr\u00e1tica \u00e9 um processo termomec\u00e2nico din\u00e2mico regido por v\u00e1rias vari\u00e1veis que interagem entre si:<\/p><ul data-path-to-node=\"31\"><li><p data-path-to-node=\"31,0,0\"><b data-path-to-node=\"31,0,0\" data-index-in-node=\"0\">Tipo de amido e gelatiniza\u00e7\u00e3o:<\/b> Um teor mais elevado de amilopectina promove frequentemente um maior potencial de expans\u00e3o e uma maior elasticidade da parede celular, em compara\u00e7\u00e3o com as formula\u00e7\u00f5es com elevado teor de amilose.<\/p><\/li><li><p data-path-to-node=\"31,1,0\"><b data-path-to-node=\"31,1,0\" data-index-in-node=\"0\">Temperatura de fus\u00e3o e press\u00e3o da matriz:<\/b> As temperaturas elevadas do cilindro aumentam a press\u00e3o de vapor a jusante da matriz, provocando a forma\u00e7\u00e3o instant\u00e2nea de vapor. No entanto, uma temperatura excessiva pode tamb\u00e9m enfraquecer a estrutura da parede celular e conduzir ao colapso t\u00e9rmico.<\/p><\/li><li><p data-path-to-node=\"31,2,0\"><b data-path-to-node=\"31,2,0\" data-index-in-node=\"0\">Teor de humidade:<\/b> A \u00e1gua atua tanto como plastificante como agente de expans\u00e3o principal. O teor de humidade ideal depende em grande medida da formula\u00e7\u00e3o espec\u00edfica do produto e do processo de extrus\u00e3o. N\u00edveis moderados de humidade melhoram o fluxo da massa fundida, enquanto a humidade excessiva pode reduzir a viscosidade da massa fundida e limitar a expans\u00e3o.<\/p><\/li><li><p data-path-to-node=\"31,3,0\"><b data-path-to-node=\"31,3,0\" data-index-in-node=\"0\">Energia mec\u00e2nica espec\u00edfica (SME):<\/b> Taxas de cisalhamento do parafuso mais elevadas alteram a despolimeriza\u00e7\u00e3o do amido e a viscosidade do material fundido, influenciando diretamente a distribui\u00e7\u00e3o do tamanho das c\u00e9lulas e a croc\u00e2ncia do produto.<\/p><\/li><\/ul><h2 data-path-to-node=\"33\">Aplica\u00e7\u00f5es industriais<\/h2><p data-path-to-node=\"34\">Esta calculadora de expans\u00e3o foi concebida para a otimiza\u00e7\u00e3o de processos em v\u00e1rias linhas de produ\u00e7\u00e3o de extrus\u00e3o comercial:<\/p><ul data-path-to-node=\"35\"><li><p data-path-to-node=\"35,0,0\"><b data-path-to-node=\"35,0,0\" data-index-in-node=\"0\">Alimentos para animais de estima\u00e7\u00e3o e ra\u00e7\u00f5es para peixes:<\/b> Calibrar a densidade aparente das ra\u00e7\u00f5es secas para garantir pesos precisos no enchimento das embalagens e gerir as caracter\u00edsticas de afundamento e flutua\u00e7\u00e3o nas ra\u00e7\u00f5es aqu\u00e1ticas.<\/p><\/li><li><p data-path-to-node=\"35,1,0\"><b data-path-to-node=\"35,1,0\" data-index-in-node=\"0\">Snacks de expans\u00e3o direta:<\/b> Otimiza\u00e7\u00e3o da croc\u00e2ncia, da resist\u00eancia estrutural e da capacidade de absor\u00e7\u00e3o de \u00f3leo em rolinhos de milho, bolinhas de snack e bolachas de arroz estaladi\u00e7as.<\/p><\/li><li><p data-path-to-node=\"35,2,0\"><b data-path-to-node=\"35,2,0\" data-index-in-node=\"0\">Prote\u00edna Vegetal Texturizada (TVP):<\/b> Monitoriza\u00e7\u00e3o do comportamento de expans\u00e3o longitudinal versus radial para obter texturas fibrosas aut\u00eanticas, semelhantes \u00e0s da carne, a partir de isolado de soja ou prote\u00edna de ervilha.<\/p><\/li><\/ul><h2 data-path-to-node=\"37\">Perguntas frequentes (FAQ)<\/h2><h3 data-path-to-node=\"38\">Qual \u00e9 uma boa taxa de expans\u00e3o por extrus\u00e3o?<\/h3><p data-path-to-node=\"39\">Os \u00edndices de expans\u00e3o pretendidos variam significativamente consoante a aplica\u00e7\u00e3o. Os snacks tufados por expans\u00e3o direta visam normalmente \u00edndices de expans\u00e3o elevados (3x a 6x+), enquanto que as ra\u00e7\u00f5es para animais de estima\u00e7\u00e3o e a ra\u00e7\u00e3o para peixes d\u00e3o prioridade \u00e0 densidade controlada e \u00e0 durabilidade estrutural, com \u00edndices de expans\u00e3o mais baixos.<\/p><h3 data-path-to-node=\"40\">De que forma a humidade afeta a expans\u00e3o por extrus\u00e3o?<\/h3><p data-path-to-node=\"41\">A humidade funciona tanto como plastificante como fonte principal de vapor para o processo de expans\u00e3o. O n\u00edvel ideal de humidade depende da formula\u00e7\u00e3o, da configura\u00e7\u00e3o do parafuso e da densidade pretendida. Uma humidade insuficiente limita a gera\u00e7\u00e3o de vapor, enquanto uma humidade excessiva reduz a viscosidade da massa fundida, levando ao colapso das c\u00e9lulas.<\/p><h3 data-path-to-node=\"42\">Esta calculadora consegue determinar a capacidade de produ\u00e7\u00e3o exata de uma extrusora?<\/h3><p data-path-to-node=\"43\">N\u00e3o. Esta ferramenta estima os par\u00e2metros de expans\u00e3o f\u00edsica com base nas dimens\u00f5es e densidades. O rendimento da produ\u00e7\u00e3o depende das taxas de dosagem do alimentador, da velocidade do motor, da geometria do parafuso e da conce\u00e7\u00e3o geral da linha de produ\u00e7\u00e3o.<\/p><h2 data-path-to-node=\"45\">Precisa de aconselhamento t\u00e9cnico ou de engenharia de linhas personalizadas?<\/h2><p data-path-to-node=\"46\">Testar varia\u00e7\u00f5es de receitas ou passar de linhas-piloto de laborat\u00f3rio para sistemas de extrus\u00e3o comerciais de alta capacidade requer um projeto especializado das matrizes e configura\u00e7\u00f5es espec\u00edficas do perfil do parafuso.<\/p><p data-path-to-node=\"47\">Se necessitar de ensaios precisos em instala\u00e7\u00f5es-piloto, otimiza\u00e7\u00f5es do comprimento da superf\u00edcie de contacto da matriz ou configura\u00e7\u00f5es personalizadas de extrusoras de duplo parafuso, n\u00e3o hesite em contactar a nossa equipa t\u00e9cnica atrav\u00e9s do <b data-path-to-node=\"47\" data-index-in-node=\"161\">M\u00e1quinas de extrus\u00e3o Zhuoheng<\/b>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Extrusion Expansion Ratio Calculator Extrusion Expansion Ratio Calculator Calculate diameter & volumetric expansion ratios and density reduction for puffed food, 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