本研究主要探討在二維不可壓縮之穩態完全發展流動下,於垂直雙通渠道內飽和多孔隙介質的流體之混合對流的流動與熱傳行為,渠道藉一薄且完全傳導性的擋板區分為二個通道。渠道兩側壁面條件為給定熱通量,區分為對稱加熱、非對稱加熱及單側絕熱等三種情形,其中流體之滲透性考慮飽和多孔隙介質,熱傳特性則考慮黏性與達西耗散。在數值方法上,採用有限差分法求解無因次化之聯立微分方程式,探討完全發展層流情形於幾種加熱型態下之飽和多孔隙介質及黏性耗散作用對流體熱流特性之影響。本研究數值分析之流場速度及溫度分佈結果,因擋板位置(Y*)及各參數Gr/Re(Grashof數/Reynolds數) = 0、50、100,Brinkman數 = 0.001、0.01、0.05、0.1,黏性係數比m2=0.5、1、2,多孔隙介質參數σ2= 1、10、100之改變而影響其流動及熱傳型態。
Two-dimensional, steady, fully developed incompressible flow and heat transfer of a fluid-saturated porous medium in a vertical double-passage channel are investigated. The channel is divided into two passages by means of a thin, perfectly conductive baffle and the walls are uniformly heated by three types; say, symmetric, asymmetric and one side adiabatic. The porous effect is considered in momentum equation, whereas the viscous and Darcy dissipations are considered in energy equation. The governing equations have been numerically analyzed employing finite-difference method. The results show that the velocity and temperature profiles depend on the baffle position (Y*), the values of the ratio between Grashof and Reynolds number (Gr/Re= 0, 50, 100), Brinkman number ( Br=0.001, 0.01, 0.05, 0.1) , ratio of viscosity (m2= 0.5, 1, 2) and porous medium parameter(σ2=1, 10, 100).