Closed-form solutions for accelerated MHD flow of a generalized Burgers’ fluid in a rotating frame and porous medium

Boundary value problems

Sharidan Shafie¹  Ilyas Khan²  Farhad Ali⁴  Norzieha Mustapha⁵ 

[1] Applied Mathematics (UTM-CIAM), Universiti Teknologi Malaysia, Johor Bahru, Malaysia;Department of Basic Sciences, College of Engineering, Majmaah University, Majmaah, Saudi Arabia;Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Malaysia;Department of Mathematics, City University of Science and Information Technology, Peshawar, Pakistan;UTM Centre for Industrial &

关键词: accelerated flow;    generalized Burgers’ fluid;    MHD;    porous medium;    exact solutions;   

DOI  :  10.1186/s13661-014-0258-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Closed-form solutions for magnetohydrodynamic (MHD) and rotating flow of generalized Burgers’ fluid past an accelerated plate embedded in a porous medium are obtained using the Laplace transform technique. Modified Darcy’s law for generalized Burgers’ fluid is taken into account. Both constant and variable acceleration cases are considered. The graphical results along with illustrations are presented to bring out the effects of indispensable parameters on the velocity. The obtained solutions are reduced as special cases to their limiting solutions by taking some suitable parameters equal to zero.

【 授权许可】

CC BY