دراسة عددية لانتقال الحرارة بالحمل الحر داخل فجوة مملوءة بوسط مسامي مشبع بوجود توليد حراري داخلي

Abstract

Two – dimensional, steady natural convection in a rectangularcavity filled with a heat generating saturated porous medium has beenstudied numerically for the case when the vertical walls of the cavity areisothermal and the horizontal walls are either adiabatic or cold. Finitedifference method was used to transform the momentum and energyequations from the differential form to the algebraic form; relaxationmethod was used to solve the momentum equation, while (L.S.O.R.)method was used to solve the energy equation for Rayleigh No. ranges (10≤ Ra ≤ 104). Results are presented in terms of the stream lines andisotherms, the maximum temperature in the cavity and intermediate Nusseltnumber. The thermal convection flow together with the uniform heatgenerating produces a highly stratified medium at high Rayleigh numbers.The horizontal wall boundary condition changes from adiabatic to coldreduces (max) also it is found that heat transfer increases with increasing Rayligh number while it decrease with aspect ratio. The effect of aspectratio on heal transfer will appear when (Ra > 50).