{"id":654965,"date":"2024-10-06T11:05:54","date_gmt":"2024-10-06T10:05:54","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/?p=654965"},"modified":"2024-10-06T11:05:54","modified_gmt":"2024-10-06T10:05:54","slug":"akiskanlar-dinamiginde-hesaplamali-yontemler","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/tr\/akiskanlar-dinamiginde-hesaplamali-yontemler\/","title":{"rendered":"Ak\u0131\u015fkanlar Dinami\u011finde Hesaplamal\u0131 Y\u00f6ntemler"},"content":{"rendered":"<p class=\"sidekick\">Ak\u0131\u015fkanlar dinami\u011finde hesaplamal\u0131 y\u00f6ntemler: Ak\u0131\u015fkan hareketlerini ve s\u0131cakl\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131 bilgisayar sim\u00fclasyonlar\u0131yla analiz etme teknikleri.<\/p>\n<p><img src=\"https:\/\/www.thermal-engineering.org\/wp-content\/uploads\/2024\/07\/akiskanlar_dinamiginde_hesaplamali_yontemler.png\" alt=\"Ak\u0131\u015fkanlar Dinami\u011finde Hesaplamal\u0131 Y\u00f6ntemler\" style=\"display: block; margin-left: auto; margin-right: auto;\"\/><\/p>\n<h2>Ak\u0131\u015fkanlar Dinami\u011finde Hesaplamal\u0131 Y\u00f6ntemler<\/h2>\n<p>Ak\u0131\u015fkanlar dinami\u011fi, s\u0131v\u0131 ve gazlar\u0131n hareketini inceleyen bir m\u00fchendislik dal\u0131d\u0131r. Bu alanda kar\u015f\u0131la\u015f\u0131lan problemler genellikle karma\u015f\u0131k ve \u00e7\u00f6z\u00fcm\u00fc zor oldu\u011fundan, bilgisayar tabanl\u0131 hesaplamal\u0131 y\u00f6ntemler s\u0131kl\u0131kla kullan\u0131l\u0131r. Bu y\u00f6ntemlere genel olarak Hesaplamal\u0131 Ak\u0131\u015fkanlar Dinami\u011fi (Computational Fluid Dynamics &#8211; CFD) ad\u0131 verilir.<\/p>\n<h2>CFD&#8217;nin Temel \u0130lkeleri<\/h2>\n<p>CFD, ak\u0131\u015fkanlar\u0131n hareketini ve \u00f6zelliklerini sim\u00fcle etmek i\u00e7in say\u0131sal analiz teknikleri kullan\u0131r. Bu y\u00f6ntemler, Navier-Stokes denklemleri gibi temel ak\u0131\u015fkanlar dinami\u011fi denklemlerinin \u00e7\u00f6z\u00fcmlerini arar. Navier-Stokes denklemleri, momentumun korunumu ilkesine dayal\u0131d\u0131r ve \u015fu \u015fekilde ifade edilir:<\/p>\n<p>\\[<br \/>\n\\frac{\\partial \\rho \\mathbf{u}}{\\partial t} + \\nabla \\cdot (\\rho \\mathbf{u} \\otimes \\mathbf{u}) = -\\nabla p + \\nabla \\cdot \\mathbf{\\tau} + \\rho \\mathbf{g}<br \/>\n\\]\n<p>Burada:<\/p>\n<ul>\n<li>\\(\\rho\\) : Ak\u0131\u015fkan\u0131n yo\u011funlu\u011fu<\/li>\n<li>\\(\\mathbf{u}\\) : Ak\u0131\u015fkan\u0131n h\u0131z vekt\u00f6r\u00fc<\/li>\n<li>\\(t\\) : Zaman<\/li>\n<li>\\(p\\) : Bas\u0131n\u00e7<\/li>\n<li>\\(\\mathbf{\\tau}\\) : Gerilim tens\u00f6r\u00fc<\/li>\n<li>\\(\\mathbf{g}\\) : Yer\u00e7ekimi vekt\u00f6r\u00fc<\/li>\n<\/ul>\n<h2>CFD&#8217;de Kullan\u0131lan Y\u00f6ntemler<\/h2>\n<p>Ak\u0131\u015fkanlar dinami\u011finde \u00e7\u00f6z\u00fcmleri elde etmek i\u00e7in \u00e7e\u015fitli say\u0131sal y\u00f6ntemler kullan\u0131l\u0131r:<\/p>\n<ul>\n<li><b>Sonlu Farklar Y\u00f6ntemi (Finite Difference Method &#8211; FDM)<\/b>: Bu y\u00f6ntemde, s\u00fcrekli t\u00fcrevler sonlu farklarla ifade edilir. Y\u00f6ntem, basit ve anla\u015f\u0131l\u0131r olmakla birlikte, karma\u015f\u0131k geometrilerde uygulanmas\u0131 zordur.<\/li>\n<li><b>Sonlu Elemanlar Y\u00f6ntemi (Finite Element Method &#8211; FEM)<\/b>: Ak\u0131\u015fkanlar, k\u00fc\u00e7\u00fck elemanlara b\u00f6l\u00fcn\u00fcr ve bu elemanlar \u00fczerinde denklemler \u00e7\u00f6z\u00fcl\u00fcr. Genellikle daha karma\u015f\u0131k geometrilere uygulanabilir.<\/li>\n<li><b>Sonlu Hacimler Y\u00f6ntemi (Finite Volume Method &#8211; FVM)<\/b>: Ak\u0131\u015fkan b\u00f6lgesi, sonlu hacimlere b\u00f6l\u00fcn\u00fcr ve bu hacimler \u00fczerinde integral denklemleri kullan\u0131l\u0131r. FVM, end\u00fcstride en yayg\u0131n kullan\u0131lan y\u00f6ntemdir.<\/li>\n<\/ul>\n<h2>Bilgisayar Yaz\u0131l\u0131mlar\u0131<\/h2>\n<p>G\u00fcn\u00fcm\u00fczde, CFD analizleri yapmak i\u00e7in \u00e7e\u015fitli ticari ve a\u00e7\u0131k kaynak yaz\u0131l\u0131mlar bulunur. Bunlardan baz\u0131lar\u0131:<\/p>\n<ul>\n<li><b>ANSYS Fluent<\/b>: End\u00fcstride yayg\u0131n olarak kullan\u0131lan ticari bir yaz\u0131l\u0131md\u0131r. Geni\u015f bir kullan\u0131c\u0131 kitlesi vard\u0131r ve bir\u00e7ok farkl\u0131 ak\u0131\u015f tipini modelleyebilir.<\/li>\n<li><b>OpenFOAM<\/b>: A\u00e7\u0131k kaynak kodlu bir CFD yaz\u0131l\u0131m\u0131d\u0131r. Kullan\u0131c\u0131lar, kendi ihtiya\u00e7lar\u0131na uygun \u015fekilde yaz\u0131l\u0131m\u0131 \u00f6zelle\u015ftirebilir.<\/li>\n<li><b>COMSOL Multiphysics<\/b>: CFD&#8217;nin yan\u0131 s\u0131ra di\u011fer m\u00fchendislik dallar\u0131ndaki problemleri entegre bir \u015fekilde \u00e7\u00f6zme yetene\u011fine sahiptir.<\/li>\n<\/ul>\n<h2>Sonu\u00e7<\/h2>\n<p>Hesaplamal\u0131 Ak\u0131\u015fkanlar Dinami\u011fi (CFD), ak\u0131\u015fkanlar dinami\u011fi problemlerinin \u00e7\u00f6z\u00fcm\u00fcnde g\u00fc\u00e7l\u00fc bir ara\u00e7t\u0131r. Karma\u015f\u0131k denklemleri ve geometrileri \u00e7\u00f6zmek i\u00e7in farkl\u0131 say\u0131sal y\u00f6ntemler ve bilgisayar yaz\u0131l\u0131mlar\u0131 kullan\u0131l\u0131r. B\u00f6ylece m\u00fchendisler, tasar\u0131mlar\u0131n\u0131 optimize edebilir, performans\u0131 tahmin edebilir ve olas\u0131 sorunlar\u0131 \u00f6nceden tespit edebilirler.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ak\u0131\u015fkanlar dinami\u011finde hesaplamal\u0131 y\u00f6ntemler: Ak\u0131\u015fkan hareketlerini ve s\u0131cakl\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131 bilgisayar sim\u00fclasyonlar\u0131yla analiz etme teknikleri.<\/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>Ak\u0131\u015fkanlar Dinami\u011finde Hesaplamal\u0131 Y\u00f6ntemler<\/title>\n<meta name=\"description\" content=\"Ak\u0131\u015fkanlar dinami\u011finde hesaplamal\u0131 y\u00f6ntemler: Ak\u0131\u015fkan 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