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

Abstract EN

Two – dimensional, steady natural convection in a rectangular cavity filled with a heat generating saturated porous medium has been studied numerically for the case when the vertical walls of the cavity are isothermal and the horizontal walls are either adiabatic or cold.

Finite difference method was used to transform the momentum and energy equations from the differential form to the algebraic form; relaxation method 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 and isotherms, the maximum temperature in the cavity and intermediate Nusselt number.

The thermal convection flow together with the uniform heat generating produces a highly stratified medium at high Rayleigh numbers.

The horizontal wall boundary condition changes from adiabatic to cold reduces (max) also it is found that heat transfer increases with increasing Rayligh number while it decrease with aspect ratio.

The effect of aspect ratio on heal transfer will appear when (Ra > 50).