{"id":100139,"date":"2026-02-15T20:19:49","date_gmt":"2026-02-15T20:19:49","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100139"},"modified":"2026-04-05T15:41:51","modified_gmt":"2026-04-05T15:41:51","slug":"insulation-thickness-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/bn\/calculators\/insulation-thickness-calculator\/","title":{"rendered":"\u09a8\u09bf\u09b0\u09cb\u09a7\u0995 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0 | \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7\u09b0 \u09aa\u09be\u0987\u09aa &#038; \u09aa\u09c3\u09b7\u09cd\u09a0 \u09b8\u09b0\u099e\u09cd\u099c\u09be\u09ae"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Insulation Thickness Calculator\",\"description\":\"Calculate insulation thickness for pipes and surfaces based on target heat loss or surface temperature.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/insulation-thickness-calculator\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-02-14\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"How is insulation thickness calculated for a flat surface?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"For a flat surface: thickness = k \u00d7 (T_hot \u2212 T_surface) \/ q, where k is thermal conductivity of insulation, T_hot is process temperature, T_surface is desired surface temperature, and q is heat flux. The surface heat transfer coefficient h_out also plays a role: q = h_out \u00d7 (T_surface \u2212 T_ambient).\"}},\n{\"@type\":\"Question\",\"name\":\"How does pipe insulation calculation differ from flat surfaces?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Pipe insulation uses the cylindrical heat transfer equation with logarithmic radius ratio: Q\/L = 2\u03c0(T_hot \u2212 T_ambient) \/ [1\/(h_in\u00b7r_i) + ln(r_o\/r_i)\/k_pipe + ln(r_ins\/r_o)\/k_ins + 1\/(h_out\u00b7r_ins)]. The curved geometry means more insulation material is needed per unit of thermal resistance.\"}},\n{\"@type\":\"Question\",\"name\":\"What is a typical insulation thermal conductivity?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Mineral wool: 0.035\u20130.045 W\/mK. Glass wool: 0.030\u20130.040 W\/mK. Polyurethane foam: 0.022\u20130.028 W\/mK. Calcium silicate: 0.055\u20130.070 W\/mK. Aerogel: 0.013\u20130.020 W\/mK. Lower k = better insulator.\"}},\n{\"@type\":\"Question\",\"name\":\"What surface temperature is safe for personnel protection?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"For personnel protection, maximum surface temperature should be \u226460\u00b0C (140\u00b0F) according to most industrial standards. Some standards require \u226450\u00b0C for surfaces accessible to workers. This prevents burns from brief contact.\"}},\n{\"@type\":\"Question\",\"name\":\"Does the outer surface heat transfer coefficient matter?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Yes. The outer film coefficient h_out (typically 5\u201325 W\/m\u00b2K) affects the surface temperature. Still air: ~5\u201310 W\/m\u00b2K. Light wind: ~15 W\/m\u00b2K. Forced convection: 20\u201350 W\/m\u00b2K. Lower h_out means higher surface temperature for same insulation.\"}}\n]}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Insulation Thickness Calculator\",\"item\":\"https:\/\/vibromera.eu\/calculators\/insulation-thickness-calculator\/\"}]}<\/script>\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n\n<link 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var(--vc-border);border-radius:var(--vc-radius);text-decoration:none;transition:all .15s}.vc-related-link:hover{border-color:var(--vc-accent);color:var(--vc-accent);background:var(--vc-accent-light)}.vc-promo{margin-top:24px;padding:20px;background:linear-gradient(135deg,var(--vc-accent-light),var(--vc-surface));border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);display:flex;align-items:center;gap:16px}.vc-promo-text{flex:1;font-size:14px;color:var(--vc-ink-secondary)}.vc-promo-text strong{color:var(--vc-ink)}.vc-promo-link{padding:8px 20px;font-size:13px;font-weight:700;color:#fff;background:var(--vc-accent);border-radius:var(--vc-radius);text-decoration:none;white-space:nowrap;transition:background .15s}.vc-promo-link:hover{background:var(--vc-accent-hover)}.vc-footer{text-align:center;padding:32px 16px;font-size:13px;color:var(--vc-ink-muted)}.vc-footer a{color:var(--vc-accent);text-decoration:none}.vc-footer a:hover{text-decoration:underline}.vc-footer-links{margin-top:8px;font-size:12px}.vc-footer-links a{margin:0 8px}@media print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}<\/style>\n\n<div class=\"vc-calculator\">\n<header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Free Engineering Tool<\/p><h1 class=\"vc-header-title\">Insulation Thickness Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate required insulation thickness for pipes and flat surfaces to achieve target surface temperature or limit heat loss.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Pipe &amp; Flat<\/span><span class=\"vc-badge\">ISO 12241<\/span><span class=\"vc-badge\">#180<\/span><\/div><\/header>\n\n<div class=\"vc-card\">\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-geom\">Geometry<\/label><select class=\"vc-select\" id=\"vc-geom\"><option value=\"flat\" selected>Flat Surface<\/option><option value=\"pipe\">Pipe \/ Cylinder<\/option><\/select><\/div>\n            <div class=\"vc-field\" id=\"vc-dia-field\" style=\"display:none\"><label class=\"vc-label\" for=\"vc-dia\">Pipe Outer Diameter <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dia\" step=\"any\" min=\"1\" value=\"60.3\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-Thot\">Process Temperature <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-Thot\" step=\"any\" value=\"150\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-Tamb\">Ambient Temperature <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-Tamb\" step=\"any\" value=\"25\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-Tsurf\">Target Surface Temp <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-Tsurf\" step=\"any\" value=\"60\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-k\">Insulation k <span class=\"vc-label-hint\">(W\/m\u00b7K)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-k\" step=\"any\" min=\"0.001\" value=\"0.04\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-h\">Outer Film Coeff h <span class=\"vc-label-hint\">(W\/m\u00b2\u00b7K)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-h\" step=\"any\" min=\"0.1\" value=\"10\"><\/div>\n        <\/div>\n        <div class=\"vc-presets\"><div class=\"vc-presets-label\">Insulation material presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-k=\"0.04\">Mineral Wool (0.04)<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-k=\"0.035\">Glass Wool (0.035)<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-k=\"0.025\">PU Foam (0.025)<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-k=\"0.06\">Calcium Silicate (0.06)<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-k=\"0.015\">Aerogel (0.015)<\/button>\n        <\/div>\n    <\/form>\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Results<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\"><svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy<\/button><\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Required Insulation Thickness<\/div><div class=\"vc-rcard-value\" id=\"vc-r-thick\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Heat Loss per m\u00b2  (or per m for pipe)<\/div><div class=\"vc-rcard-value\" id=\"vc-r-qloss\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Insulation R-value<\/div><div class=\"vc-rcard-value\" id=\"vc-r-Rins\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Overall U-value<\/div><div class=\"vc-rcard-value\" id=\"vc-r-U\">\u2014<\/div><\/div>\n        <\/div>\n        <div class=\"vc-note\" id=\"vc-note\"><\/div>\n    <\/div>\n<\/div>\n\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Theory &amp; Formulas<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><h3>Flat Surface<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div><p>Where q = h \u00d7 (T_surface \u2212 T_ambient) is the heat flux from the outer surface.<\/p><h3>Pipe \/ Cylinder<\/h3><div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div><p>For a pipe, the insulation outer radius r\u2082 is found iteratively so that the surface temperature equals the target. Q\/L is the heat loss per metre length.<\/p><\/div><\/div><\/div>\n<div class=\"vc-section\" id=\"vc-sec-related\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udd17<\/span><span class=\"vc-section-title\">Related Calculators<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\"><a class=\"vc-related-link\" href=\"\/calculators\/heat-loss-wall\/\">Heat Loss Wall<\/a><a class=\"vc-related-link\" href=\"\/calculators\/thermal-expansion-calculator\/\">Thermal Expansion<\/a><a class=\"vc-related-link\" href=\"\/calculators\/heat-exchanger-lmtd\/\">Heat Exchanger LMTD<\/a><\/div><\/div><\/div><\/div>\n<div class=\"vc-section\" id=\"vc-sec-faq\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div><\/div>\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional instruments. Used in 50+ countries.<\/div><a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div>\n<footer class=\"vc-footer\"><p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p><div class=\"vc-footer-links\"><a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a><a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a><\/div><\/footer>\n<\/div>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n'use strict';var SLUG='insulation-thickness-calculator';function $(id){return document.getElementById(id)}function fmt(n,d){if(isNaN(n)||!isFinite(n))return'\u2014';return n.toFixed(d===undefined?2:d).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}\nfunction calculate(){var geom=$('vc-geom').value;var Th=parseFloat($('vc-Thot').value),Ta=parseFloat($('vc-Tamb').value),Ts=parseFloat($('vc-Tsurf').value);var k=parseFloat($('vc-k').value),h=parseFloat($('vc-h').value);if(isNaN(Th)||isNaN(Ta)||isNaN(Ts)||isNaN(k)||isNaN(h)||k<=0||h<=0){$('vc-results').classList.remove('vc-visible');return}\nif(Ts<=Ta||Ts>=Th){$('vc-results').classList.remove('vc-visible');return}\nvar note='';\nif(geom==='flat'){var q=h*(Ts-Ta);var thick_m=k*(Th-Ts)\/q;var thick_mm=thick_m*1000;var Rins=thick_m\/k;var Rtot=1\/h+thick_m\/k;var U=1\/Rtot;\n$('vc-r-thick').innerHTML=fmt(thick_mm,1)+' <span class=\"vc-rcard-unit\">mm<\/span>';\n$('vc-r-qloss').innerHTML=fmt(q,1)+' <span class=\"vc-rcard-unit\">W\/m\u00b2<\/span>';\n$('vc-r-Rins').innerHTML=fmt(Rins,4)+' <span class=\"vc-rcard-unit\">m\u00b2\u00b7K\/W<\/span>';\n$('vc-r-U').innerHTML=fmt(U,3)+' <span class=\"vc-rcard-unit\">W\/m\u00b2\u00b7K<\/span>';\nnote='Flat surface: insulation = '+fmt(thick_mm,1)+' mm. Suggest rounding up to next standard thickness.'}\nelse{var dia=parseFloat($('vc-dia').value);if(isNaN(dia)||dia<=0){$('vc-results').classList.remove('vc-visible');return}\nvar r1=dia\/2\/1000;var r2=r1+0.001;for(var iter=0;iter<500;iter++){var Rconv=1\/(2*Math.PI*r2*h);var Rins2=Math.log(r2\/r1)\/(2*Math.PI*k);var Rtot2=Rconv+Rins2;var Q_per_m=(Th-Ta)\/Rtot2;var Ts_calc=Ta+Q_per_m*Rconv;if(Math.abs(Ts_calc-Ts)<0.01)break;if(Ts_calc>Ts){r2+=0.0005}else{r2-=0.0001}if(r2<=r1)r2=r1+0.0001}\nvar thick_mm2=(r2-r1)*1000;var RinsVal=Math.log(r2\/r1)\/(2*Math.PI*k);var Rtotal=1\/(2*Math.PI*r2*h)+RinsVal;var QL=(Th-Ta)\/Rtotal;var Uval=1\/(Rtotal*2*Math.PI*r2);\n$('vc-r-thick').innerHTML=fmt(thick_mm2,1)+' <span class=\"vc-rcard-unit\">mm<\/span>';\n$('vc-r-qloss').innerHTML=fmt(QL,1)+' <span class=\"vc-rcard-unit\">W\/m<\/span>';\n$('vc-r-Rins').innerHTML=fmt(RinsVal,4)+' <span class=\"vc-rcard-unit\">m\u00b7K\/W per m<\/span>';\n$('vc-r-U').innerHTML=fmt(Uval,3)+' <span class=\"vc-rcard-unit\">W\/m\u00b2\u00b7K<\/span>';\nnote='Pipe OD='+fmt(dia,1)+' mm \u2192 insulation thickness = '+fmt(thick_mm2,1)+' mm (outer diameter with insulation: '+fmt(r2*2000,1)+' mm).'}\n$('vc-note').textContent=note;$('vc-results').classList.add('vc-visible');saveHistory({geom:geom,Th:Th,Ta:Ta,Ts:Ts,k:k,_summary:geom+' ins='+$('vc-r-thick').textContent})}\n\n$('vc-geom').addEventListener('change',function(){$('vc-dia-field').style.display=this.value==='pipe'?'':'none';calculate()});\ndocument.querySelectorAll('.vc-preset-btn').forEach(function(btn){btn.addEventListener('click',function(e){e.preventDefault();$('vc-k').value=this.getAttribute('data-k');calculate()})});\n$('vc-form').addEventListener('input',calculate);$('vc-form').addEventListener('change',calculate);\n$('vc-copy-btn').addEventListener('click',function(){var t='Insulation Thickness\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nThickness: '+$('vc-r-thick').textContent+'\\nHeat loss: '+$('vc-r-qloss').textContent+'\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nvibromera.eu';if(navigator.clipboard)navigator.clipboard.writeText(t).then(function(){var b=$('vc-copy-btn');b.classList.add('vc-copied');b.innerHTML='Copied!';setTimeout(function(){b.classList.remove('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy'},2000)})});\ndocument.querySelectorAll('.vc-section-toggle').forEach(function(b){b.addEventListener('click',function(){var s=this.closest('.vc-section');s.classList.toggle('vc-open');this.setAttribute('aria-expanded',s.classList.contains('vc-open'))})});\nvar faqData=[{q:'How is insulation thickness calculated for a flat surface?',a:'<p>thickness = k \u00d7 (T_hot \u2212 T_surface) \/ q, where q = h \u00d7 (T_surface \u2212 T_ambient). h is the outer surface film coefficient.<\/p>'},{q:'How does pipe insulation differ from flat?',a:'<p>Pipes use cylindrical geometry with logarithmic radius ratio. More material needed per unit of thermal resistance due to curvature.<\/p>'},{q:'What are typical insulation k-values?',a:'<p>Mineral wool: 0.035\u20130.045. Glass wool: 0.030\u20130.040. PU foam: 0.022\u20130.028. Calcium silicate: 0.055\u20130.070. Aerogel: 0.013\u20130.020 W\/mK.<\/p>'},{q:'What surface temp is safe for personnel?',a:'<p>Max 60\u00b0C (140\u00b0F) per most industrial standards. Some require \u226450\u00b0C for accessible surfaces.<\/p>'},{q:'Does the outer film coefficient matter?',a:'<p>Yes. Still air: ~5\u201310 W\/m\u00b2K. Light wind: ~15. Forced convection: 20\u201350 W\/m\u00b2K. Lower h means higher surface temperature for same insulation.<\/p>'}];\nvar fl=$('vc-faq-list');faqData.forEach(function(f){fl.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>'+f.q+'<\/span><svg class=\"vc-faq-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\">'+f.a+'<\/div><\/div><\/div>'});fl.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(!b)return;b.closest('.vc-faq-item').classList.toggle('vc-open')});\nfunction saveHistory(e){var k='vc_history_'+SLUG;var a=[];try{a=JSON.parse(localStorage.getItem(k))||[]}catch(x){}e._ts=new Date().toISOString();a.unshift(e);if(a.length>10)a=a.slice(0,10);try{localStorage.setItem(k,JSON.stringify(a))}catch(x){}}\nfunction renderFormulas(){try{katex.render('\\\\delta_{\\\\text{flat}} = \\\\frac{k\\\\,(T_{\\\\text{hot}}-T_{\\\\text{surf}})}{h\\\\,(T_{\\\\text{surf}}-T_{\\\\text{amb}})}',$('vc-katex-1'),{displayMode:true,throwOnError:false});katex.render('\\\\frac{Q}{L}=\\\\frac{2\\\\pi\\\\,(T_{\\\\text{hot}}-T_{\\\\text{amb}})}{\\\\dfrac{\\\\ln(r_2\/r_1)}{k}+\\\\dfrac{1}{h\\\\,r_2}}',$('vc-katex-2'),{displayMode:true,throwOnError:false})}catch(e){}}\nfunction init(){renderFormulas();calculate()}if(document.readyState==='loading')document.addEventListener('DOMContentLoaded',init);else init();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>\u09aa\u09be\u0987\u09aa \u098f\u09ac\u0982 \u09b8\u09ae\u09a4\u09b2 \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u09a8\u09bf\u09b0\u09cb\u09a7\u0995 \u09aa\u09c1\u09b0\u09c1\u09a4\u09cd\u09ac \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0\u0964 \u09b2\u0995\u09cd\u09b7\u09cd\u09af \u09aa\u09c3\u09b7\u09cd\u09a0\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09ac\u09be \u09a4\u09be\u09aa \u09b9\u09cd\u09b0\u09be\u09b8 \u0985\u09b0\u09cd\u099c\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09aa\u09cd\u09b0\u09af\u09bc\u09cb\u099c\u09a8\u09c0\u09af\u09bc \u09a8\u09bf\u09b0\u09cb\u09a7\u0995 \u0997\u09a3\u09a8\u09be \u0995\u09b0\u09c1\u09a8\u0964 \u09a4\u09be\u09aa\u09c0\u09af\u09bc \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09a1\u09c7\u099f\u09be \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09ad\u09c1\u0995\u09cd\u09a4\u0964<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100139","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":2,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100139\/revisions"}],"predecessor-version":[{"id":100947,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100139\/revisions\/100947"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=100139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=100139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=100139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}