{"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":"2026-07-12T15:39:01","modified_gmt":"2026-07-12T15:39:01","slug":"insulation-thickness-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/az\/calculators\/insulation-thickness-calculator\/","title":{"rendered":"Documented Insulation Thickness Calculator"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Documented Insulation Thickness Calculator\",\"description\":\"Calculate a reference insulation thickness for a heated flat surface or long cylinder using documented apparent thermal conductivity, convection coefficient, emissivity and radiant surroundings.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/insulation-thickness-calculator\/\",\"applicationCategory\":\"Engineering 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solid var(--b);border-radius:6px;background:#fff;cursor:pointer}.vc-rgrid{display:grid;grid-template-columns:1fr 1fr;gap:12px}.vc-r{background:#fff;border:1px solid var(--bl);border-radius:8px;padding:16px}.vc-primary{grid-column:1\/-1;border:2px solid var(--c);background:linear-gradient(135deg,var(--cl),#fff)}.vc-rl{font:10px var(--mono);letter-spacing:.1em;text-transform:uppercase;color:var(--mut)}.vc-rv{font:600 18px\/1.35 var(--mono);overflow-wrap:anywhere}.vc-primary .vc-rv{font-size:25px;color:var(--c)}.vc-note{font-size:13px;color:var(--sec);margin:18px 0 0;overflow-wrap:anywhere}.vc-toggle{width:100%;padding:18px 24px;border:0;background:#fff;text-align:left;font:700 18px var(--display);cursor:pointer}.vc-body{max-height:0;overflow:hidden}.vc-section.vc-open .vc-body{max-height:30000px}.vc-inner{padding:0 24px 24px;border-top:1px solid var(--bl);color:var(--sec)}.vc-inner h3{font-family:var(--display);color:var(--ink);margin:24px 0 10px}.vc-formula{font:14px\/1.9 var(--mono);padding:14px;background:var(--alt);border:1px solid var(--bl);border-radius:6px;overflow-x:auto}.vc-footer{text-align:center;padding:30px;color:var(--mut);font-size:13px}.vc-section a,.vc-footer a{color:var(--c)}@media(max-width:650px){.vc-grid,.vc-rgrid{grid-template-columns:1fr}.vc-wide,.vc-group,.vc-primary{grid-column:auto}.vc-form{padding:18px}.vc-calculator{padding-left:12px;padding-right:12px}.vc-header{padding:34px 12px 30px}.vc-rv{font-size:16px}.vc-primary .vc-rv{font-size:20px}}<\/style>\n<div class=\"vc-calculator\" id=\"vc-ins-thickness\"><header class=\"vc-header\"><p class=\"vc-eyebrow\">Heated systems \u00b7 one-dimensional reference model<\/p><h1 class=\"vc-title\">Documented Insulation Thickness Calculator<\/h1><p class=\"vc-sub\">Calculate thickness for a target external surface temperature using separate convection and radiation terms. Supply design apparent thermal conductivity, jacket emissivity, boundary temperatures and the controlling personnel\/process criterion.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Convection + radiation<\/span><span class=\"vc-badge\">Flat + long cylinder<\/span><span class=\"vc-badge\">Not an ISO conformity calculation<\/span><\/div><\/header>\n<div class=\"vc-card\"><form id=\"vc-form\" class=\"vc-form\" autocomplete=\"off\"><div class=\"vc-grid\">\n<div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-id\">Calculation \/ work-order identifier<\/label><input class=\"vc-input\" id=\"vc-id\" type=\"text\" maxlength=\"240\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-asset\">Equipment and insulated surface<\/label><input class=\"vc-input\" id=\"vc-asset\" type=\"text\" maxlength=\"700\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-geom\">Geometry<\/label><select class=\"vc-select\" id=\"vc-geom\"><option value=\"\">Select\u2026<\/option><option value=\"flat\">Large flat surface<\/option><option value=\"pipe\">Long circular cylinder<\/option><\/select><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-tunit\">Temperature unit<\/label><select class=\"vc-select\" id=\"vc-tunit\"><option value=\"\">Select\u2026<\/option><option value=\"C\">\u00b0C<\/option><option value=\"F\">\u00b0F<\/option><\/select><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-lunit\">Length unit<\/label><select class=\"vc-select\" id=\"vc-lunit\"><option value=\"\">Select\u2026<\/option><option value=\"mm\">mm<\/option><option value=\"in\">in<\/option><\/select><\/div><div class=\"vc-field vc-hidden\" id=\"vc-dia-field\"><label class=\"vc-label\" for=\"vc-dia\">Bare insulation-interface diameter<\/label><input class=\"vc-input\" id=\"vc-dia\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div>\n<div class=\"vc-group\">Boundary temperatures<\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-thot\">Hot-side insulation-interface temperature<\/label><input class=\"vc-input\" id=\"vc-thot\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-ta\">Ambient air temperature<\/label><input class=\"vc-input\" id=\"vc-ta\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-tr\">Mean radiant surroundings temperature<\/label><input class=\"vc-input\" id=\"vc-tr\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-ts\">Target external surface temperature<\/label><input class=\"vc-input\" id=\"vc-ts\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div>\n<div class=\"vc-group\">Documented design properties at the target condition<\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-k\">Apparent thermal conductivity k (W\/(m\u00b7K))<\/label><input class=\"vc-input\" id=\"vc-k\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-hc\">External convective coefficient h\ua700 (W\/(m\u00b2\u00b7K))<\/label><input class=\"vc-input\" id=\"vc-hc\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-eps\">External surface emissivity \u03b5 (0 to 1)<\/label><input class=\"vc-input\" id=\"vc-eps\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mode\">Interpretation<\/label><select class=\"vc-select\" id=\"vc-mode\"><option value=\"\">Select\u2026<\/option><option value=\"reference\">Reference one-dimensional calculation only<\/option><\/select><\/div><div class=\"vc-field vc-wide\"><label class=\"vc-label\" for=\"vc-props\">Product data \/ property source, temperature range, ageing, moisture and jacket basis<\/label><input class=\"vc-input\" id=\"vc-props\" type=\"text\" maxlength=\"1400\"><\/div><div class=\"vc-field vc-wide\"><label class=\"vc-label\" for=\"vc-criterion\">Target-temperature criterion source, contact time, surface material and exposed population<\/label><input class=\"vc-input\" id=\"vc-criterion\" type=\"text\" maxlength=\"1400\"><\/div><div class=\"vc-field vc-wide\"><label class=\"vc-label\" for=\"vc-review\">Steady-state, one-dimensional, geometry, bridges\/supports, joints, weather, installation and qualified-design review<\/label><input class=\"vc-input\" id=\"vc-review\" type=\"text\" maxlength=\"1600\"><\/div><\/div><p class=\"vc-error\" id=\"vc-error\" role=\"alert\"><\/p><div class=\"vc-warning\"><strong>Applicability boundary:<\/strong> the input \u201chot-side insulation-interface temperature\u201d is not automatically the fluid\/process temperature. This model assumes a homogeneous dry layer, constant design k, a long cylinder or large flat region, steady one-dimensional heat flow, known h\ua700 and diffuse-gray surface radiation to large surroundings. It excludes pipe-wall\/internal films, multilayers, thermal bridges, supports, joints, moisture, weather penetration, solar load and end effects. Verify the installed system and governing safety criterion.<\/div><\/form>\n<div class=\"vc-results\" id=\"vc-results\" aria-live=\"polite\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Reference-model result<\/h2><button type=\"button\" class=\"vc-copy\" id=\"vc-copy\">Copy<\/button><\/div><div class=\"vc-rgrid\"><div class=\"vc-r vc-primary\"><div class=\"vc-rl\">Required insulation thickness<\/div><div class=\"vc-rv\" id=\"vc-r-thick\">\u2014<\/div><\/div><div class=\"vc-r\"><div class=\"vc-rl\">Total external heat flux<\/div><div class=\"vc-rv\" id=\"vc-r-flux\">\u2014<\/div><\/div><div class=\"vc-r\"><div class=\"vc-rl\" id=\"vc-r-loss-label\">Heat loss<\/div><div class=\"vc-rv\" id=\"vc-r-loss\">\u2014<\/div><\/div><div class=\"vc-r\"><div class=\"vc-rl\">Convection \/ radiation flux<\/div><div class=\"vc-rv\" id=\"vc-r-split\">\u2014<\/div><\/div><div class=\"vc-r\"><div class=\"vc-rl\">Insulation thermal resistance<\/div><div class=\"vc-rv\" id=\"vc-r-rins\">\u2014<\/div><\/div><div class=\"vc-r\"><div class=\"vc-rl\">Outer diameter \/ model closure<\/div><div class=\"vc-rv\" id=\"vc-r-extra\">\u2014<\/div><\/div><\/div><p class=\"vc-note\" id=\"vc-note\"><\/p><\/div><\/div>\n<div class=\"vc-section vc-open\"><button type=\"button\" class=\"vc-toggle\" aria-expanded=\"true\">Equations, standards and safety boundary<\/button><div class=\"vc-body\"><div class=\"vc-inner\"><h3>Implemented reference model<\/h3><div class=\"vc-formula\">q\ua700 = h\ua700(T\u209b\u2212T\u2090)<br>q\u1d63 = \u03b5\u03c3[(T\u209b+273.15)\u2074\u2212(T\u1d63+273.15)\u2074]<br>q\u2033 = q\ua700+q\u1d63<br>flat: \u03b4 = k(T\u2095\u2212T\u209b)\/q\u2033<br>cylinder: r\u2082 ln(r\u2082\/r\u2081) = k(T\u2095\u2212T\u209b)\/q\u2033<br>cylinder heat loss: Q\u2032 = 2\u03c0r\u2082q\u2033<\/div><p>\u03c3=5.670374419\u00d710\u207b\u2078 W\/(m\u00b2\u00b7K\u2074), the <a href=\"https:\/\/www.physics.nist.gov\/cuu\/pdf\/wallet_2022.pdf\" target=\"_blank\" rel=\"noopener\">NIST 2022 CODATA<\/a> Stefan\u2013Boltzmann constant. The cylinder equation is strictly increasing for r\u2082&gt;r\u2081 and is solved by a bracketed bisection with a reported closure residual; the former fixed 0.5\/0.1 mm stepping could stop after 500 iterations without meeting its temperature tolerance.<\/p><h3>Published heat-loss check<\/h3><p>A University of California, Santa Barbara <a href=\"https:\/\/sites.chemengr.ucsb.edu\/~ceweb\/courses\/che120b\/pdf\/sec1-1.pdf\" target=\"_blank\" rel=\"noopener\">heat-transfer example<\/a> gives a 50 mm diameter surface at 50 \u00b0C in 20 \u00b0C air\/surroundings, h\ua700=6.5 W\/(m\u00b2\u00b7K) and \u03b5=0.8: convection 30.63 W\/m, radiation 25.04 W\/m and total 55.67 W\/m. The surface-loss submodel here reproduces those rounded values (minor difference from the newer CODATA \u03c3).<\/p><h3>ISO and ASTM scope\/status<\/h3><p><a href=\"https:\/\/www.iso.org\/standard\/74655.html\" target=\"_blank\" rel=\"noopener\">ISO 12241:2022<\/a>, edition 3, corrected November 2022, is Published and gives calculation rules for heat-transfer-related properties of building equipment and industrial installations, mainly under steady state. Exact methods and clauses remain <strong>NEEDS_LICENSED_SOURCE<\/strong>; this page\u2019s single-layer model is not labelled an ISO 12241 conformity calculation. <a href=\"https:\/\/www.iso.org\/standard\/37056.html\" target=\"_blank\" rel=\"noopener\">ISO 13787:2003<\/a> treats declared thermal conductivity as a function of temperature. <a href=\"https:\/\/store.astm.org\/standards\/c680\" target=\"_blank\" rel=\"noopener\">ASTM C680-23a<\/a> warns that performance depends on wind, jacket emittance, ambient conditions, temperature-dependent properties and input-data quality.<\/p><h3>No universal \u201csafe surface temperature\u201d<\/h3><p><a href=\"https:\/\/www.iso.org\/standard\/43558.html\" target=\"_blank\" rel=\"noopener\">ISO 13732-1:2006<\/a>, edition 1 and confirmed, provides burn-threshold\/risk-assessment methods for contact periods of 0.5 s and longer but explicitly does not set surface-temperature limits. <a href=\"https:\/\/store.astm.org\/c1055-20.html\" target=\"_blank\" rel=\"noopener\">ASTM C1055-20<\/a> states that it is outside its scope to determine one temperature that is \u201csafe\u201d; contact time, surface material\/configuration, injury criterion and exposed population matter. Therefore the former universal 50\/60 \u00b0C personnel limits were removed.<\/p><h3>Design use<\/h3><p>Use a design apparent k covering the actual mean-temperature range, ageing and moisture condition; obtain h\ua700 from the applicable orientation\/airflow correlation or controlled procedure; use the installed jacket emissivity and credible radiant surroundings. Round-up, available product thicknesses, dimensional tolerances, compression, seams, cladding, corrosion-under-insulation control, supports and verification measurements belong to the qualified system design, not this algebraic result.<\/p><\/div><\/div><\/div><footer class=\"vc-footer\">\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u00b7 Scientific review July 2026<\/footer><\/div>\n<script>(function(){'use strict';var SIG=5.670374419e-8,lf={mm:.001,in:.0254},ll={mm:'mm',in:'in'},req=['vc-id','vc-asset','vc-geom','vc-tunit','vc-lunit','vc-thot','vc-ta','vc-tr','vc-ts','vc-k','vc-hc','vc-eps','vc-mode','vc-props','vc-criterion','vc-review'];function $(i){return document.getElementById(i)}function num(raw){var s=String(raw).trim().replace(',','.');if(s.length>80||!\/^[-+]?(?:\\d+(?:\\.\\d*)?|\\.\\d+)(?:[eE][+-]?\\d+)?$\/.test(s))return NaN;return Number(s)}function ctemp(v,u){return u==='C'?v:(v-32)*5\/9}function fmt(v){if(!Number.isFinite(v))return'\u2014';if(Object.is(v,-0)||v===0)return'0';return Number(v.toPrecision(12)).toString()}function clear(){['vc-r-thick','vc-r-flux','vc-r-loss','vc-r-split','vc-r-rins','vc-r-extra'].forEach(function(i){$(i).textContent='\u2014'});$('vc-note').textContent='';$('vc-results').classList.remove('vc-visible')}function fail(m){clear();$('vc-error').textContent=m}function solvePipe(r1,a){var lo=r1,hi=r1+Math.max(a,r1),f=function(r){return r*Math.log(r\/r1)-a},n=0;while(f(hi)<0&&n<200){hi*=2;n++}if(n===200||!Number.isFinite(hi)||hi>1e6)return null;for(var i=0;i<200;i++){var mid=(lo+hi)\/2;if(f(mid)<0)lo=mid;else hi=mid}return(lo+hi)\/2}function calc(){var geom=$('vc-geom').value;$('vc-dia-field').classList.toggle('vc-hidden',geom!=='pipe');var any=req.some(function(i){return $(i).value.trim()})||$('vc-dia').value.trim();if(!any){$('vc-error').textContent='';clear();return}if(!req.every(function(i){return $(i).value.trim()})){fail('Complete every model, source, criterion and review field.');return}var tu=$('vc-tunit').value,lu=$('vc-lunit').value,mode=$('vc-mode').value;if(!['flat','pipe'].includes(geom)||!['C','F'].includes(tu)||!(lu in lf)||mode!=='reference'){fail('Select a supported geometry, temperature\/length unit and reference interpretation.');return}if(geom==='pipe'&&!$('vc-dia').value.trim()){fail('Enter the bare insulation-interface diameter for the cylinder.');return}var vh=num($('vc-thot').value),va=num($('vc-ta').value),vr=num($('vc-tr').value),vs=num($('vc-ts').value),k=num($('vc-k').value),hc=num($('vc-hc').value),eps=num($('vc-eps').value),dia=geom==='pipe'?num($('vc-dia').value):null,raw=[vh,va,vr,vs,k,hc,eps].concat(dia===null?[]:[dia]);if(!raw.every(Number.isFinite)){fail('Numerical fields must be finite decimal numbers; decimal comma is accepted.');return}if(raw.some(function(v){return Math.abs(v)>1e30})){fail('Numerical inputs must not exceed 10\u00b3\u2070 in magnitude.');return}var th=ctemp(vh,tu),ta=ctemp(va,tu),tr=ctemp(vr,tu),ts=ctemp(vs,tu);if([th,ta,tr,ts].some(function(t){return t<=-273.15})){fail('Every temperature must be above absolute zero.');return}if(!(th>ts&&ts>ta&&ts>tr)){fail('For this heated-system model, target surface temperature must be below the hot interface and above both air and radiant surroundings.');return}if(!(k>0)||hc<0||eps<0||eps>1||(geom==='pipe'&&!(dia>0))){fail('k and cylinder diameter must be positive; h\ua700 must be non-negative; emissivity must be from 0 to 1.');return}var tsk=ts+273.15,trk=tr+273.15,qc=hc*(ts-ta),qr=eps*SIG*(Math.pow(tsk,4)-Math.pow(trk,4)),qt=qc+qr;if(!(qt>0)||!Number.isFinite(qt)){fail('The entered convection\/radiation conditions do not produce a finite outward heat flux.');return}var a=k*(th-ts)\/qt,thick,rins,loss,extra,residual;if(geom==='flat'){thick=a;rins=thick\/k;loss=qt;extra='Model closes algebraically at target surface temperature';residual=0;$('vc-r-loss-label').textContent='Heat loss per area'}else{var r1=dia*lf[lu]\/2,r2=solvePipe(r1,a);if(!r2){fail('No finite cylinder root was bracketed within the model limit.');return}thick=r2-r1;rins=Math.log(r2\/r1)\/(2*Math.PI*k);loss=2*Math.PI*r2*qt;var tscheck=th-loss*rins;residual=tscheck-ts;extra='Outer diameter '+fmt(2*r2\/lf[lu])+' '+ll[lu]+'; closure |\u0394T|='+fmt(Math.abs(residual))+' K';$('vc-r-loss-label').textContent='Heat loss per length'}var vals=[qt,qc,qr,a,thick,rins,loss,residual];if(!vals.every(Number.isFinite)||vals.some(function(v){return Math.abs(v)>1e100})){fail('The result exceeds the finite numerical range.');return}$('vc-error').textContent='';$('vc-r-thick').textContent=fmt(thick\/lf[lu])+' '+ll[lu];$('vc-r-flux').textContent=fmt(qt)+' W\/m\u00b2';$('vc-r-loss').textContent=fmt(loss)+(geom==='flat'?' 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H\u0259d\u0259f s\u0259th temperaturuna v\u0259 ya istilik itkisin\u0259 nail olmaq \u00fc\u00e7\u00fcn t\u0259l\u0259b olunan izolyasiyan\u0131 hesablay\u0131n. \u0130stilik ke\u00e7iriciliyi m\u0259lumatlar\u0131 daxil edilib.<\/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\/az\/wp-json\/wp\/v2\/calculator\/100139","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":3,"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/calculator\/100139\/revisions"}],"predecessor-version":[{"id":102461,"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/calculator\/100139\/revisions\/102461"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/media?parent=100139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/categories?post=100139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/az\/wp-json\/wp\/v2\/tags?post=100139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}