本文探討霍爾效應(Hall effect)對垂直板於多孔性介質中之磁液動自然對流流場,其熱與質傳特性的影響。數值結果採用凱拉盒子(Keller Box)方法求解,研究內容為霍爾參數(m, 0~4),磁場參數(H, 0~4)、孔隙率(ε, 0.2~0.9),浮力比值(N, 0~4)對速度、溫度及濃度場、局部紐塞爾數(Nusselt number)及局部謝伍爾德數(Sherwood number)的影響。數值結果顯示,霍爾參數m值增大或磁場參數H值減小,熱與質傳率提昇。孔隙率增加,切線和側向速度均增加。浮力比值增大,切線和側向速度均增加,熱與質傳率提昇,局部紐塞數和局部謝伍爾德數也變大。
The present work investigates the Hall effect on an electrically conducting fluid in MHD natural convection past a vertical plate in porous medium with heat and mass transfer. The numerical results are solved by the Keller-Box method. The velocity, temperature and concentration profiles, the local Nusselt and Sherwood number, for magnetic parameter H ranges from 0 to 4, Hall parameter m ranges from 0 to 4, porosity ε ranges from 0.2 to 0.9 and buoyancy ratio N ranges from 0 to 4 are presented. Numerical results showed that, as the Hall parameter m increases or magnetic parameter H decreases, the local heat and mass transfer rates increase. In addition, as the porosity increases, both the tangential and lateral velocities increase and as the buoyancy ratio N increases, the heat transfer rate increases.