Effects of MHD and thermal radiation on forced convection flow about a permeable horizontal plate embedded in a porous medium

Bu çalışmada, gözenekli bir ortam içerisinde tutulan geçirgen yatay bir plaka üzerinden zorlanmış taşınımla olanakışa manyetik alan ve ısıl ışınımın etkileri araştırılmıştır. Akışkanın sıkıştırılamaz ve yoğun olduğu kabul edilmiştir.Lineer olmaya parabolik kısmi diferansiyel denklemleri benze olmayan sınır tabaka denklemlerine dönüştürülmüştür.Dönüştürülen bu denklemeler Keller-box yöntemi kullanılarak çözülmüştür. Denklemlerin boyutsuzlaştırılmasıylaortaya çıkan boyutsuz parametreler şunlardır:Gözeneklilik (veya porozite) ε, boyutsuz atalet γ, Manyetik alan Mn,ısıl ışınım Rd, yüzey sıcaklık θw ve emme/üfleme fw parametreleri. Bu parametrelerin yerel sürtünme ve yerel ısıtransfer parametrelerinin yanında hız ve sıcaklık profilleri üzerine olan etkileri analiz edilmiştir. Çözüm yönteminindoğruluğu literatürde mevcut verilerle karşılaştırılarak sınanmış ve çok uyumlu sonuçlara ulaşılmıştır.

Gözenekli bir ortamda tutulan geçirgen bir yatay plaka üzerinden zorlanmış taşınımla olan akışa MHD ve ısıl ışınımın etkisi

In this study, forced convection heat transfer about a permeable horizontal plate in the presence of magnetic field andthermal radiation effects in the porous medium are investigated. The fluid is assumed to be incompressible and dense.The nonlinear parabolic partial differential equations governing the flow are transformed into the non-similarboundary layer equations. The Keller box method is used to solve these equations. The governing dimensionlessparameters arising from dimensionless governing equations are as follows: the porosity ε, the inertia parameter γ, themagnetic parameter Mn, the radiation–conduction parameter Rd, the surface temperature parameter θw, and thesuction/injection parameter fw. The effects of these parameters on the local skin friction and local heat transferparameters as well as the velocity and temperature profiles are analyzed. The validity of the solution methodologyand the results are questioned by comparing the findings obtained with those available in the literature and, a fairlygood agreement is reached.

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