NSFD Schemes for MHD Convection in Porous Cavity Heated and Cooled on Adjacent Walls with Non-Uniform Heat Generation

  • Zaihar Yaacob, Mohammad Khatim Hasan, Bahari Idrus

Abstract

The effects of internal heating that proportional to a power difference for natural convection in rectangular porous media are the main concern of this article. Isothermal walls are adjacent to each other and imposed magnetic are inclined. The problem requires large amount of computing time since current method need small step size. This study proposed a new and accurate nonstandard finite difference (NSFD) methods and successive over-relaxation (SOR) technique with two composites nonstandard approach. Some comparisons with previous published results were made to confirm the correctness of the numerical solutions. Both NSFD schemes show higher accuracy (in percentage relative error) compared to existing nonstandard scheme (1.63% - 8.217%) with schemes NSFD-AM (0.024% - 2.03%) and NSFD-GM (0.024% - 2.83%).

 

Keywords: convection, porous media, magneto-hydrodynamic, nonstandard finite difference

Published
2020-02-07
How to Cite
Bahari Idrus, Z. Y. M. K. H. (2020). NSFD Schemes for MHD Convection in Porous Cavity Heated and Cooled on Adjacent Walls with Non-Uniform Heat Generation. International Journal of Advanced Science and Technology, 29(3), 1064 - 1082. Retrieved from http://sersc.org/journals/index.php/IJAST/article/view/4200
Section
Articles