Numerical analysis of unsteady MHD flow near a stagnation point of a two-dimensional porous body with heat and mass transfer, thermal radiation, and chemical reaction

Boundary value problems

Gerald Tendayi Marewo¹  Stanford Shateyi² 

[1] Department of Mathematics, University of Swaziland, Kwaluseni, South Africa;Department of Mathematics, University of Venda, Thohoyandou, South Africa

关键词: Nusselt Number;    Stagnation Point;    Heat Transfer;    Schmidt Number;    Homotopy Analysis Method;   

DOI  :  10.1186/s13661-014-0218-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The problem of unsteady MHD flow near a stagnation point of a two-dimensional porous body with heat and mass transfer in the presence of thermal radiation and chemical reaction has been numerically investigated. Using a similarity transformation, the governing time-dependent boundary layer equations for the momentum, heat and mass transfer were reduced to a set of ordinary differential equations. This set of ordinary equations were then solved using the spectral local linearization method together with the successive relaxation method. The study made among others the observation that the local Sherwood number increases with increasing values of the unsteadiness parameter and the Schmidt number. The fluid temperature was found to be significantly reduced by increasing values of the Prandtl number and the thermal radiation parameter. The velocity profiles were found to be reduced by increasing values of the chemical reaction and the Schmidt number as well as by the magnetic parameter.

【 授权许可】

CC BY