Fonksiyonel Derecelendirilmiş İki Boyutlu Plakın Isıl Analizi

Yıl 2025, Cilt: 12 Sayı: 1, 224 - 232, 30.05.2025

Oğuzhan Demirel Durmuş Yarımpabuç

https://doi.org/10.35193/bseufbd.1503959

Öz

Kararlı durumdaki iki boyutlu heterojen bir plakanın ısı transferi probleminin kapalı form çözümü ele alınmıştır. Kararlı durumda olduğu düşünülen bu plakanın ısıl iletkenliğinin, iki yönde üstel olarak değiştiği varsayılmıştır. Bu koşullar altında elde edilen kısmi diferansiyel denklemin analitik çözümü, değişkenlerine ayırma yöntemi kullanılarak elde edilmiştir. Çözümün doğruluğunu test etmek için sınır koşullarında verilen keyfi fonksiyonlar kullanılmıştır. Sonuçlar, farklı ısı akı değerlerine göre elde edilen grafikler üzerinde tartışılmıştır.

Anahtar Kelimeler

Değişkenlerine Ayırma Yöntemi , Heterojen Plaka , Fonksiyonel Derecelendirilmiş Malzeme

Proje Numarası

OKÜBAP-2023-PT2-022

Thermal Analysis of Functionally Graded Two Dimensional Plate

Öz

A closed form solution of the heat transfer problem of a two-dimensional heterogeneous plate under steady state condition is discussed. It is assumed that the thermal conductivity of this plate, which is in steady state, varies exponentially in two directions. The analytical solution of the partial differential equation obtained under these conditions is obtained using the separation of variables method. Arbitrary functions given in boundary conditions are used to test the accuracy of the solution. The results are discussed on the graphs obtained according to different heat flux values.

Anahtar Kelimeler

Heterogeneous Plate , Functionally Graded Materials , Seperation of Variables Method

Proje Numarası

OKÜBAP-2023-PT2-022

Kaynakça

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