{"id":4004,"date":"2026-10-14T22:48:03","date_gmt":"2026-10-14T21:48:03","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/muhendislik\/logaritmik-ortalama-sicaklik-farki\/"},"modified":"2026-10-14T22:48:03","modified_gmt":"2026-10-14T21:48:03","slug":"logaritmik-ortalama-sicaklik-farki","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/muhendislik\/logaritmik-ortalama-sicaklik-farki\/","title":{"rendered":"Logaritmik Ortalama S\u0131cakl\u0131k Fark\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Is\u0131 De\u011fi\u015ftiricinin S\u0131cakl\u0131k \u0130tici Kuvvetini Bulun<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4004\" data-favorite-title=\"LMTD\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/muhendislik\/logaritmik-ortalama-sicaklik-farki\/\" data-favorite-excerpt=\"Is\u0131 e\u015fanj\u00f6r\u00fcn\u00fcn logaritmik ortalama s\u0131cakl\u0131k fark\u0131n\u0131 (LMTD) d\u00f6rt u\u00e7 s\u0131cakl\u0131ktan hesaplay\u0131n. Ters ak\u0131\u015f veya paralel ak\u0131\u015f se\u00e7in; s\u0131cak ve so\u011fuk ak\u0131\u015fkan\u0131n giri\u015f\/\u00e7\u0131k\u0131\u015f s\u0131cakl\u0131klar\u0131n\u0131 \u00b0C, \u00b0F veya K cinsinden girin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-ventilation\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/muhendislik\/logaritmik-ortalama-sicaklik-farki\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4004\" data-post=\"4004\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Ak\u0131\u015f d\u00fczeni<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"ak_dzeni\"><option value=\"counter\" selected>Ters ak\u0131\u015f (ak\u0131\u015fkanlar z\u0131t y\u00f6nlerde akar)<\/option><option value=\"parallel\">Paralel ak\u0131\u015f (ak\u0131\u015fkanlar ayn\u0131 y\u00f6nde akar)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field is-single has-term\" id=\"input-2\"><label for=\"field-2\">S\u0131cak ak\u0131\u015fkan giri\u015f s\u0131cakl\u0131\u011f\u0131 (T\u2095\u1d62)<\/label><div class=\"term\">T\u2095\u1d62<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"scak_akkan_giri_scakl_t\" id=\"field-2\" placeholder=\"e.g. 150\" step=\"any\" value=\"150\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"birim\" aria-label=\"Birim\"><option value=\"c\" selected>\u00b0C<\/option><option value=\"f\">\u00b0F<\/option><option value=\"k\">K<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single has-term\" id=\"input-3\"><label for=\"field-4\">S\u0131cak ak\u0131\u015fkan \u00e7\u0131k\u0131\u015f s\u0131cakl\u0131\u011f\u0131 (T\u2095\u2092)<\/label><div class=\"term\">T\u2095\u2092<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"scak_akkan_k_scakl_t\" id=\"field-4\" placeholder=\"e.g. 100\" step=\"any\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"unit\" aria-label=\"Unit\"><option value=\"c\" selected>\u00b0C<\/option><option value=\"f\">\u00b0F<\/option><option value=\"k\">K<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single has-term\" id=\"input-4\"><label for=\"field-6\">So\u011fuk ak\u0131\u015fkan giri\u015f s\u0131cakl\u0131\u011f\u0131 (T\u1d9c\u1d62)<\/label><div class=\"term\">T\u1d9c\u1d62<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"souk_akkan_giri_scakl_t\" id=\"field-6\" placeholder=\"e.g. 40\" step=\"any\" value=\"40\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"birim\" aria-label=\"Birim\"><option value=\"c\" selected>\u00b0C<\/option><option value=\"f\">\u00b0F<\/option><option value=\"k\">K<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><div class=\"field is-single has-term\" id=\"input-5\"><label for=\"field-8\">So\u011fuk ak\u0131\u015fkan \u00e7\u0131k\u0131\u015f s\u0131cakl\u0131\u011f\u0131 (T\u1d9c\u2092)<\/label><div class=\"term\">T\u1d9c\u2092<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"souk_akkan_k_scakl_t\" id=\"field-8\" placeholder=\"e.g. 80\" step=\"any\" value=\"80\"\/><div class=\"grid grid-cols-1\"><select id=\"field-9\" name=\"birim\" aria-label=\"Birim\"><option value=\"c\" selected>\u00b0C<\/option><option value=\"f\">\u00b0F<\/option><option value=\"k\">K<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4004\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> LMTD Sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Logaritmik ortalama s\u0131cakl\u0131k fark\u0131 (LMTD \/ \u0394T\u2097\u2098)<\/span><span class=\"result-term\">\u0394T\u2097\u2098<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Is\u0131 de\u011fi\u015ftiricinin iki ucundaki s\u0131cakl\u0131k farklar\u0131 ve ak\u0131\u015f d\u00fczeni kar\u015f\u0131la\u015ft\u0131rmas\u0131<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"4004\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>LMTD Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\Delta T_{lm} = \\frac{\\Delta T_1 - \\Delta T_2}{\\ln \\left( \\dfrac{\\Delta T_1}{\\Delta T_2} \\right)} \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(\\Delta T_{lm}\\) \u2014 logaritmik ortalama s\u0131cakl\u0131k fark\u0131 (K veya \u00b0C)<\/li>\n<li>\\(\\Delta T_1\\) \u2014 e\u015fanj\u00f6r\u00fcn bir ucundaki iki ak\u0131\u015fkan aras\u0131ndaki s\u0131cakl\u0131k fark\u0131<\/li>\n<li>\\(\\Delta T_2\\) \u2014 e\u015fanj\u00f6r\u00fcn di\u011fer ucundaki iki ak\u0131\u015fkan aras\u0131ndaki s\u0131cakl\u0131k fark\u0131<\/li>\n<li>\\(\\ln\\) \u2014 do\u011fal logaritma<\/li>\n<\/ul>\n<p>U\u00e7 farklar\u0131 ak\u0131\u015f d\u00fczenine ba\u011fl\u0131d\u0131r. <strong>Ters ak\u0131\u015fta<\/strong> s\u0131cak ak\u0131\u015fkan\u0131n girdi\u011fi u\u00e7ta \\(\\Delta T_1 = T_{h,i} - T_{c,o}\\), s\u0131cak ak\u0131\u015fkan\u0131n \u00e7\u0131kt\u0131\u011f\u0131 u\u00e7ta \\(\\Delta T_2 = T_{h,o} - T_{c,i}\\)dir. <strong>Paralel ak\u0131\u015fta<\/strong> ise ortak giri\u015f ucunda \\(\\Delta T_1 = T_{h,i} - T_{c,i}\\), ortak \u00e7\u0131k\u0131\u015f ucunda \\(\\Delta T_2 = T_{h,o} - T_{c,o}\\)dir.<\/p>\n<p>Ak\u0131\u015fkanlar aras\u0131ndaki s\u0131cakl\u0131k fark\u0131 e\u015fanj\u00f6r boyunca de\u011fi\u015fti\u011finden, basit bir ortalama ger\u00e7ek itici kuvveti yanl\u0131\u015f yans\u0131t\u0131r. Logaritmik ortalama, k\u00fc\u00e7\u00fck u\u00e7 fark\u0131na daha fazla a\u011f\u0131rl\u0131k verir; \u0131s\u0131 transferi denklemlerinin tam olarak istedi\u011fi de budur. \\(\\Delta T_1 = \\Delta T_2\\) oldu\u011funda form\u00fcl \\(\\Delta T_{lm} = \\Delta T_1\\) \u015fekline indirgenir.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>LMTD \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> ters ak\u0131\u015fl\u0131 bir \u0131s\u0131 e\u015fanj\u00f6r\u00fcnde s\u0131cak ak\u0131\u015fkan 150 \u00b0C'den 100 \u00b0C'ye so\u011futulurken, so\u011fuk ak\u0131\u015fkan 40 \u00b0C'den 80 \u00b0C'ye \u0131s\u0131t\u0131l\u0131yor.<\/p>\n<p>\\[ \\Delta T_1 = T_{h,i} - T_{c,o} = 150 - 80 = 70\\ \\text{K} \\]<\/p>\n<p>\\[ \\Delta T_2 = T_{h,o} - T_{c,i} = 100 - 40 = 60\\ \\text{K} \\]<\/p>\n<p>\\[ \\Delta T_{lm} = \\frac{70 - 60}{\\ln (70 \/ 60)} = \\frac{10}{\\ln 1.1667} = 64.86\\ \\text{K} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(\\Delta T_{lm} \\approx 64.86\\) \u00b0C (K cinsinden ayn\u0131 de\u011fer, yani 116,75 \u00b0F). Logaritmik ortalaman\u0131n 64,86 olmas\u0131, 65 K'lik aritmetik ortalamadan biraz d\u00fc\u015f\u00fck oldu\u011funa dikkat edin.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Ak\u0131\u015f d\u00fczenini se\u00e7in<\/strong>: ters ak\u0131\u015f (ak\u0131\u015fkanlar z\u0131t y\u00f6nlerde akar) veya paralel ak\u0131\u015f (ak\u0131\u015fkanlar ayn\u0131 y\u00f6nde akar). D\u00fczen, hangi u\u00e7 s\u0131cakl\u0131klar\u0131n\u0131n e\u015flenece\u011fini belirler.<\/li>\n<li><strong>S\u0131cak ak\u0131\u015fkan\u0131n giri\u015f s\u0131cakl\u0131\u011f\u0131n\u0131 (T\u2095\u1d62)<\/strong> girin ve birimini (\u00b0C, \u00b0F veya K) se\u00e7in.<\/li>\n<li><strong>S\u0131cak ak\u0131\u015fkan\u0131n \u00e7\u0131k\u0131\u015f s\u0131cakl\u0131\u011f\u0131n\u0131 (T\u2095\u2092)<\/strong> birimiyle birlikte girin.<\/li>\n<li><strong>So\u011fuk ak\u0131\u015fkan\u0131n giri\u015f s\u0131cakl\u0131\u011f\u0131n\u0131 (T\u1d9c\u1d62)<\/strong> birimiyle birlikte girin.<\/li>\n<li><strong>So\u011fuk ak\u0131\u015fkan\u0131n \u00e7\u0131k\u0131\u015f s\u0131cakl\u0131\u011f\u0131n\u0131 (T\u1d9c\u1d52)<\/strong> birimiyle birlikte girin.<\/li>\n<li><strong>Logaritmik ortalama s\u0131cakl\u0131k fark\u0131n\u0131 (\u0394T\u2097\u2098)<\/strong>, u\u00e7 farklar\u0131 \u0394T\u2081 ve \u0394T\u2082 ile birlikte okuyun; sonu\u00e7lar \u00b0C, K ve \u00b0F cinsinden g\u00f6sterilir, b\u00f6ylece iki d\u00fczeni do\u011frudan kar\u015f\u0131la\u015ft\u0131rabilirsiniz.<\/li>\n<\/ol>\n<p>Birimler kar\u0131\u015ft\u0131r\u0131labilir: LMTD'ye yaln\u0131zca s\u0131cakl\u0131k <em>farklar\u0131<\/em> girdi\u011fi i\u00e7in d\u00f6rt s\u0131cakl\u0131\u011f\u0131n her biri farkl\u0131 bir birimde girilebilir. 1 K'lik fark, 1 \u00b0C'lik farka ve 9\/5 \u00b0F'e e\u015fittir.<\/p>\n<h2>Logaritmik Ortalama S\u0131cakl\u0131k Fark\u0131 Nedir?<\/h2>\n<p>LMTD, bir \u0131s\u0131 e\u015fanj\u00f6r\u00fcnde \u0131s\u0131 transferinin etkin s\u0131cakl\u0131k itici kuvvetidir. Temel \u0131s\u0131 transferi denklemi \\(Q = U \\cdot A \\cdot \\Delta T_{lm}\\) \u015feklindedir; burada \\(Q\\) \u0131s\u0131 y\u00fck\u00fc, \\(U\\) toplam \u0131s\u0131 transfer katsay\u0131s\u0131 ve \\(A\\) \u0131s\u0131 transfer y\u00fczeyidir. S\u0131cak ve so\u011fuk ak\u0131\u015fkan aras\u0131ndaki s\u0131cakl\u0131k fark\u0131 e\u015fanj\u00f6r boyunca sabit de\u011fildir \u2014 bir u\u00e7ta en b\u00fcy\u00fck, di\u011fer u\u00e7ta en k\u00fc\u00e7\u00fckt\u00fcr \u2014 dolay\u0131s\u0131yla LMTD bunun yerine tek, fiziksel olarak do\u011fru bir ortalama koyar.<\/p>\n<p>Logaritmik (aritmetik de\u011fil) ortalamaya neden ihtiya\u00e7 duyuldu\u011fu, yerel \u0131s\u0131 transfer denkleminin e\u015fanj\u00f6r uzunlu\u011fu boyunca integre edilmesinden kaynaklan\u0131r. \u0130ki ak\u0131\u015fkan\u0131n s\u0131cakl\u0131klar\u0131 neredeyse paralel seyretti\u011fi b\u00f6lgelerde fark yava\u015f de\u011fi\u015fir ve iki ortalama neredeyse \u00e7ak\u0131\u015f\u0131r. Fark\u0131n h\u0131zla de\u011fi\u015fti\u011fi yerlerde \u2014 \u00f6rne\u011fin paralel ak\u0131\u015fta giri\u015fe yak\u0131n b\u00f6lgede \u2014 logaritmik ortalama, \u0131s\u0131 transferinin a\u011f\u0131rl\u0131kl\u0131 olarak s\u0131cakl\u0131k fark\u0131n\u0131n k\u00fc\u00e7\u00fck oldu\u011fu b\u00f6lgeden geldi\u011fi ger\u00e7e\u011fini do\u011fru bi\u00e7imde yans\u0131t\u0131r.<\/p>\n<p>Ak\u0131\u015f d\u00fczeni b\u00fcy\u00fck \u00f6nem ta\u015f\u0131r. Ters ak\u0131\u015fta s\u0131cak giri\u015f, so\u011fuk \u00e7\u0131k\u0131\u015fla kar\u015f\u0131la\u015f\u0131r; b\u00f6ylece s\u0131cakl\u0131k fark\u0131 g\u00f6rece tekd\u00fcze kal\u0131r, hatta t\u00fcm boyunca b\u00fcy\u00fck kalabilir. Paralel ak\u0131\u015fta ise en b\u00fcy\u00fck fark ortak giri\u015fte olu\u015fur ve \u00e7\u0131k\u0131\u015fa do\u011fru azal\u0131r. Ayn\u0131 u\u00e7 s\u0131cakl\u0131klar i\u00e7in ters ak\u0131\u015f her zaman paralel ak\u0131\u015ftan daha b\u00fcy\u00fck bir LMTD verir \u2014 yukar\u0131daki \u00f6rnekte 64,86 \u00b0C'ye kar\u015f\u0131 52,80 \u00b0C \u2014 yani ayn\u0131 y\u00fck i\u00e7in ters ak\u0131\u015fl\u0131 bir e\u015fanj\u00f6r daha az \u0131s\u0131 transfer y\u00fczeyi gerektirir.<\/p>\n<p>LMTD, e\u015fanj\u00f6r boyutland\u0131rma ve de\u011ferlendirme \u00e7al\u0131\u015fmalar\u0131n\u0131n merkezinde yer al\u0131r. Tasar\u0131mc\u0131lar, \u00e7ok ge\u00e7i\u015fli ve \u00e7apraz ak\u0131\u015fl\u0131 g\u00f6vdeler i\u00e7in bir d\u00fczeltme katsay\u0131s\u0131yla birlikte kullanarak belirli bir y\u00fck i\u00e7in gerekli alan\u0131 belirler. LMTD bilindikten sonra analiz genellikle ak\u0131\u015f taraf\u0131 hesaplar\u0131yla s\u00fcrer: <a href=\"https:\/\/wpcalc.com\/en\/engineering\/reynolds-number\/\">Reynolds Say\u0131s\u0131<\/a> hesaplay\u0131c\u0131m\u0131zla ak\u0131\u015f rejimini kontrol edin, <a href=\"https:\/\/wpcalc.com\/en\/engineering\/pipe-pressure-drop\/\">boru bas\u0131n\u00e7 kayb\u0131n\u0131<\/a> tahmin edin veya <a href=\"https:\/\/wpcalc.com\/en\/engineering\/pump-power\/\">Pompa G\u00fcc\u00fc<\/a> hesaplay\u0131c\u0131s\u0131yla pomboyu boyutland\u0131r\u0131n.<\/p>\n<h2>Varsay\u0131mlar, S\u0131n\u0131rlamalar ve Pratik \u0130pu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Sabit \u00f6zellikler:<\/strong> klasik LMTD, sabit \u00f6zg\u00fcl \u0131s\u0131lar\u0131, sabit bir toplam \u0131s\u0131 transfer katsay\u0131s\u0131 \\(U\\) ve e\u015fanj\u00f6r boyunca faz de\u011fi\u015fimi olmamas\u0131n\u0131 varsayar. Bir ak\u0131\u015fkan\u0131n neredeyse sabit s\u0131cakl\u0131kta kald\u0131\u011f\u0131 yo\u011fu\u015fturucular ve buharla\u015ft\u0131r\u0131c\u0131larda form\u00fcl yine kullan\u0131labilir, ancak dikkat gerektirir.<\/li>\n<li><strong>Is\u0131 kayb\u0131 yok:<\/strong> e\u015fanj\u00f6r\u00fcn \u00e7evresine kar\u015f\u0131 adyabatik oldu\u011fu ve her iki ak\u0131\u015fkan\u0131n her kesitte tamamen kar\u0131\u015ft\u0131\u011f\u0131 varsay\u0131l\u0131r.<\/li>\n<li><strong>Pozitif u\u00e7 farklar\u0131:<\/strong> \\(\\Delta T_1\\) ve \\(\\Delta T_2\\)'nin ikisi de pozitif olmal\u0131d\u0131r. S\u0131f\u0131r ya da negatif bir fark, s\u0131cakl\u0131k kesi\u015fimi anlam\u0131na gelir; bu, tek ge\u00e7i\u015fli bir e\u015fanj\u00f6rde olu\u015famaz \u2014 hesaplay\u0131c\u0131 yan\u0131lt\u0131c\u0131 bir say\u0131 vermek yerine bu durumu i\u015faret eder.<\/li>\n<li><strong>E\u015fit u\u00e7 farklar\u0131:<\/strong> \\(\\Delta T_1 = \\Delta T_2\\) oldu\u011funda logaritma \u0131raksar, ancak matematiksel limit yaln\u0131zca \\(\\Delta T_{lm} = \\Delta T_1\\)'dir. Hesaplay\u0131c\u0131 bu limiti otomatik olarak uygular.<\/li>\n<li><strong>D\u00fczeltme katsay\u0131lar\u0131:<\/strong> \u00e7ok ge\u00e7i\u015fli g\u00f6vde-boru ve \u00e7apraz ak\u0131\u015f d\u00fczenleri i\u00e7in ger\u00e7ek itici kuvvet, e\u015fanj\u00f6r tasar\u0131m grafiklerinden al\u0131nan \\(F &lt; 1\\) d\u00fczeltme katsay\u0131s\u0131yla \\(F \\cdot \\Delta T_{lm}\\) olur. Bu hesaplay\u0131c\u0131, ideal tek ge\u00e7i\u015fli ters ak\u0131\u015f ve paralel ak\u0131\u015f durumlar\u0131n\u0131 kapsar.<\/li>\n<li><strong>\u00d6zel durum \u2014 bir ak\u0131\u015fkan yo\u011fu\u015f\u0131yor veya buharla\u015f\u0131yorsa:<\/strong> giri\u015f ve \u00e7\u0131k\u0131\u015f s\u0131cakl\u0131klar\u0131 e\u015fittir (\u00f6rne\u011fin \\(T_{h,i} = T_{h,o}\\)) ve form\u00fcl do\u011frudan uygulanmaya devam eder.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Is\u0131 e\u015fanj\u00f6r\u00fcn\u00fcn logaritmik ortalama s\u0131cakl\u0131k fark\u0131n\u0131 (LMTD) d\u00f6rt u\u00e7 s\u0131cakl\u0131ktan hesaplay\u0131n. Ters ak\u0131\u015f veya paralel ak\u0131\u015f se\u00e7in; s\u0131cak ve so\u011fuk ak\u0131\u015fkan\u0131n giri\u015f\/\u00e7\u0131k\u0131\u015f s\u0131cakl\u0131klar\u0131n\u0131 \u00b0C, \u00b0F veya K cinsinden girin.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[73],"class_list":["post-4004","post","type-post","status-publish","format-standard","hentry","category-muhendislik","tag-havalandirma"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4004","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=4004"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4004\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4004"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4004"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4004"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}