{"id":654813,"date":"2024-08-08T09:37:21","date_gmt":"2024-08-08T08:37:21","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=654813"},"modified":"2024-08-08T09:37:21","modified_gmt":"2024-08-08T08:37:21","slug":"cfdde-turbulans-modellemesi","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/tr\/cfdde-turbulans-modellemesi\/","title":{"rendered":"CFD&#8217;de T\u00fcrb\u00fclans Modellemesi"},"content":{"rendered":"<p class=\"sidekick\">CFD&#8217;de T\u00fcrb\u00fclans Modellemesi: Ak\u0131\u015fkanlar dinami\u011finde t\u00fcrb\u00fclans\u0131n say\u0131sal sim\u00fclasyonunu ve m\u00fchendislik uygulamalar\u0131ndaki \u00f6nemini inceleyen k\u0131lavuz.<\/p>\n<p><img src=\"https:\/\/www.thermal-engineering.org\/wp-content\/uploads\/2024\/07\/cfd-de_turbulans_modellemesi.png\" alt=\"CFD'de T\u00fcrb\u00fclans Modellemesi\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n<h2>CFD&#8217;de T\u00fcrb\u00fclans Modellemesi<\/h2>\n<p>CFD (Hesaplamal\u0131 Ak\u0131\u015fkanlar Dinami\u011fi), ak\u0131\u015fkanlar\u0131n hareketini ve bu hareketin sonu\u00e7lar\u0131n\u0131 bilgisayar ortam\u0131nda sim\u00fcle ederek analiz etmek i\u00e7in kullan\u0131lan bir m\u00fchendislik dal\u0131d\u0131r. T\u00fcrb\u00fclans ise, ak\u0131\u015fkanlar dinami\u011finde y\u00fcksek h\u0131zlarda ve karma\u015f\u0131k geometrilerde ortaya \u00e7\u0131kan d\u00fczensiz ak\u0131\u015f bi\u00e7imidir. CFD&#8217;de t\u00fcrb\u00fclans modellemesi, bu karma\u015f\u0131k ak\u0131\u015f bi\u00e7imlerinin do\u011fru bir \u015fekilde tahmin edilmesi ve sim\u00fcle edilmesi i\u00e7in kritik \u00f6neme sahiptir.<\/p>\n<h2>T\u00fcrb\u00fclans Modellemesinin \u00d6nemi<\/h2>\n<p>T\u00fcrb\u00fclansl\u0131 ak\u0131\u015flar, \u00e7e\u015fitli end\u00fcstriyel ve m\u00fchendislik uygulamalar\u0131nda yayg\u0131n olarak g\u00f6r\u00fcl\u00fcr. T\u00fcrb\u00fclans\u0131n do\u011fru bir \u015fekilde modellenmesi, hava ara\u00e7lar\u0131n\u0131n aerodinamik performans\u0131n\u0131n, otomobil tasar\u0131mlar\u0131n\u0131n, boru i\u00e7i ak\u0131\u015flar\u0131n ve daha bir\u00e7ok m\u00fchendislik probleminin \u00e7\u00f6z\u00fcm\u00fcnde b\u00fcy\u00fck \u00f6nem ta\u015f\u0131r. T\u00fcrb\u00fclans modellemesi yap\u0131lmadan, bu uygulamalardaki ak\u0131\u015f karakteristiklerinin tahmin edilmesi neredeyse imk\u00e2ns\u0131z hale gelir.<\/p>\n<h2>Modelleme Y\u00f6ntemleri<\/h2>\n<ul>\n<li><strong>RANS (Reynolds Averaged Navier-Stokes) Modelleri:<\/strong> Bu modeller, ak\u0131\u015fkan\u0131n zaman ortalamas\u0131 al\u0131nm\u0131\u015f denklemlerini kullanarak t\u00fcrb\u00fclans\u0131 sim\u00fcle eder. k-\u03b5 ve k-\u03c9 modelleri gibi farkl\u0131 alt t\u00fcrleri vard\u0131r.<\/li>\n<li><strong>LES (Large Eddy Simulation):<\/strong> LES, b\u00fcy\u00fck enerji i\u00e7eren girdaplar\u0131n do\u011frudan \u00e7\u00f6z\u00fclmesini ve k\u00fc\u00e7\u00fck \u00f6l\u00e7ekli t\u00fcrb\u00fclanslar\u0131n modellenmesini i\u00e7erir. Daha fazla hesaplama g\u00fcc\u00fc gerektirir, ancak daha y\u00fcksek do\u011fruluk sa\u011flar.<\/li>\n<li><strong>DNS (Direct Numerical Simulation):<\/strong> Bu y\u00f6ntem, t\u00fcm t\u00fcrb\u00fclans \u00f6l\u00e7eklerini do\u011frudan \u00e7\u00f6zmek i\u00e7in Navier-Stokes denklemlerini say\u0131sal olarak \u00e7\u00f6zer. En do\u011fru y\u00f6ntemdir ancak en fazla hesaplama kayna\u011f\u0131na ihtiyac\u0131 vard\u0131r.<\/li>\n<\/ul>\n<h2>RANS Modelleri<\/h2>\n<p>RANS modelleri, m\u00fchendislik uygulamalar\u0131nda en yayg\u0131n olarak kullan\u0131lan t\u00fcrb\u00fclans modelleme y\u00f6ntemleridir. RANS modellerinin temel mant\u0131\u011f\u0131, t\u00fcrb\u00fclansl\u0131 ak\u0131\u015f alan\u0131n\u0131 zamansal olarak ortalay\u0131p t\u00fcrb\u00fclans\u0131n etkilerini kapal\u0131 denklemler arac\u0131l\u0131\u011f\u0131yla sim\u00fcle etmektir.<\/p>\n<ul>\n<li>\n    <strong>k-\u03b5 Modeli:<\/strong><br \/>\n    Bu model, t\u00fcrb\u00fclans kinetik enerjisi (k) ve enerji kayb\u0131 oran\u0131 (\u03b5) \u00fczerine kuruludur. \u0130ki denklem kullan\u0131larak t\u00fcrb\u00fclans\u0131n \u00f6zellikleri tan\u0131mlan\u0131r.<\/p>\n<ul>\n<li><em>k- denklemi:<\/em> \\(\\frac{Dk}{Dt} = P_k &#8211; \u03b5 + \\frac{\u2202}{\u2202x_i} [(\u03bc + \u03bc_t \/ \u03c3_k) \\frac{\u2202k}{\u2202x_i}]\\)<\/li>\n<li><em>\u03b5- denklemi:<\/em> \\(\\frac{D\u03b5}{Dt} = C1 \\frac{\u03b5}{k} P_k &#8211; C2 \\frac{\u03b5^2}{k} + \\frac{\u2202}{\u2202x_i} [(\u03bc + \u03bc_t \/ \u03c3_\u03b5) \\frac{\u2202\u03b5}{\u2202x_i}]\\)<\/li>\n<\/ul>\n<\/li>\n<li>\n    <strong>k-\u03c9 Modeli:<\/strong><br \/>\n    Bu model, t\u00fcrb\u00fclans kinetik enerjisi (k) ve t\u00fcrb\u00fclans spesifik da\u011f\u0131l\u0131m oran\u0131 (\u03c9) \u00fczerine kuruludur. <\/p>\n<ul>\n<li><em>k- denklemi:<\/em> \\(\\frac{Dk}{Dt} = P_k &#8211; \u03b2*\u03c9k + \\frac{\u2202}{\u2202x_i} [(\u03bc + \u03bc_t \/ \u03c3_k) \\frac{\u2202k}{\u2202x_i}]\\)<\/li>\n<li><em>\u03c9- denklemi:<\/em> \\(\\frac{D\u03c9}{Dt} = \u03b1 \\frac{\u03c9}{k} P_k &#8211; \u03b2\u03c9^2 + \\frac{\u2202}{\u2202x_i} [(\u03bc + \u03bc_t \/ \u03c3_\u03c9) \\frac{\u2202\u03c9}{\u2202x_i}]\\)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>LES ve DNS<\/h2>\n<p>LES ve DNS daha karma\u015f\u0131k t\u00fcrb\u00fclans modelleme y\u00f6ntemlerini temsil eder.<\/p>\n<ul>\n<li><strong>LES (Large Eddy Simulation):<\/strong> LES, b\u00fcy\u00fck \u00f6l\u00e7ekli t\u00fcrb\u00fclans yap\u0131lar\u0131n\u0131 do\u011frudan sim\u00fcle ederken, k\u00fc\u00e7\u00fck \u00f6l\u00e7ekli t\u00fcrb\u00fclanslar\u0131 modellemek i\u00e7in belli bir kapatma modeli kullan\u0131r. D\u00fc\u015f\u00fck Reynolds say\u0131l\u0131 ak\u0131\u015flarda daha iyi sonu\u00e7lar verir.<\/li>\n<li><strong>DNS (Direct Numerical Simulation):<\/strong> DNS, t\u00fcm t\u00fcrb\u00fclans yap\u0131lar\u0131n\u0131 do\u011frudan sim\u00fcle eden en detayl\u0131 y\u00f6ntemdir. Y\u00fcksek hesaplama maliyetleri nedeniyle genellikle akademik ara\u015ft\u0131rmalarda ve basit geometrilerde kullan\u0131l\u0131r.<\/li>\n<\/ul>\n<p>T\u00fcrb\u00fclans modellemesi, CFD analizlerinde karma\u015f\u0131kl\u0131\u011f\u0131 art\u0131ran ancak ger\u00e7ek d\u00fcnyadaki ak\u0131\u015flar\u0131 do\u011fru bir \u015fekilde sim\u00fcle etmek i\u00e7in vazge\u00e7ilmez bir bile\u015fendir. Uygulama alan\u0131na ve hesaplama kaynaklar\u0131na ba\u011fl\u0131 olarak, farkl\u0131 t\u00fcrb\u00fclans modelleri kullan\u0131labilir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CFD&#8217;de T\u00fcrb\u00fclans Modellemesi: Ak\u0131\u015fkanlar dinami\u011finde t\u00fcrb\u00fclans\u0131n say\u0131sal sim\u00fclasyonunu ve m\u00fchendislik uygulamalar\u0131ndaki \u00f6nemini inceleyen k\u0131lavuz.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[131],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>CFD&#039;de T\u00fcrb\u00fclans Modellemesi<\/title>\n<meta name=\"description\" content=\"CFD&#039;de T\u00fcrb\u00fclans Modellemesi: Ak\u0131\u015fkanlar dinami\u011finde t\u00fcrb\u00fclans\u0131n say\u0131sal sim\u00fclasyonunu ve m\u00fchendislik 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