Durmuş YARIMPABUÇ, Ertuğrul CİHAN, Kerimcan ÇELEBİ, Mehmet EKER

Heat Conduction Analysis of Two-Dimensional Anisotropic Plate

The heat conduction of a two dimensional anisotropic plate with non-homogeneous general boundaryconditions is solved by using ANSYS Fluent in the cartesian coordinate system. It is assumed that thethermal conductivity and heat generation of the material arbitrarily change in the direction of the twospace variables. Under these conditions, a variable coefficient differential equation is obtained. Analyticalsolutions of such equations cannot be obtained except for some simple material functions. The variablecoefficient differential equation, which includes the heat conduction coefficient and volumetric heatgeneration depending on the two space variables and non-homogeneous boundary conditions, is handlednumerically by ANSYS Fluent user-defined function (UDF). The accuracy of the numerical method isdemonstrated by comparing analytical and numerical solutions using simple material functions.

İki Boyutlu Anizotropik Plakanın Isı İletim Analizi

Homojen olmayan genel sınır koşullarına sahip iki boyutlu anizotropik bir plakanın ısı iletim problemi, kartezyen koordinat sisteminde ANSYS Fluent kullanılarak çözülmüştür. Malzemenin termal iletkenliği ve ısı üretiminin keyfi olarak iki uzay değişkeni yönünde değiştiği varsayılmıştır. Bu koşullar altında sistemi modelleyen değişken katsayılı diferansiyel denklem elde edilir. Bu tür denklemlerin analitik çözümleri, bazı basit malzeme fonksiyonları dışında elde edilemez. İki uzay değişkenine bağlı olarak değişen ısı iletim katsayısı ve hacimsel ısı üretimi ile homojen olmayan sınır koşullarını içeren değişken katsayılı diferansiyel denklem ANSYS Fluent kullanıcı tanımlı fonksiyon (UDF) ile sayısal olarak ele alınmıştır. Sayısal yöntemin doğruluğu, basit malzeme fonksiyonları kullanılarak analitik ve sayısal çözümler karşılaştırılarak gösterilmiştir

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