Hall Effect on the Heat and Mass Transfer with MHD Natural Convection from a Vertical Plate in Porous Medium

霍爾效應對磁液動多孔性介質中垂直平板自然對流熱與質傳性能的影響

張錦裕(Jiin-Yuh Jang) ； 徐仲亭(Chung-Ting Hsu)

《中國機械工程學刊》 30卷5期 (2009/10) Pp. 371-380

https://doi.org/10.29979/JCSME.200910.0002

摘要

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。

並列摘要

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.

並列關鍵字

MHD ； Hall effect ； porous medium ； heat and mass transfer