Issues

Search

Home > Issues > Retrieve

Diffusive Species in MHD Squeezed Fluid Flow Through non-Darcy Porous Medium with Viscous Dissipation and Joule Heating

Journal of Magnetics, Volume 23, Number 2, 30 Jun 2018, Pages 323-332
S. Ahmad * (Department of Mathematics and Statistics, Riphah International University), M. Farooq (Department of Mathematics and Statistics, Riphah International University), Aisha Anjum (Department of Mathematics and Statistics, Riphah International University), M. Javed (Department of Mathematics and Statistics, Riphah International University), M. Y. Malik (Department of Mathematics, Quaid-I-Azam University), A. S. Alshomrani (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Abstract
This article focuses the flow through non-Darcy porous medium. The flow is due to the squeezing phenomenon. The magneto viscous fluid is accounted. Formulation of the flow problem is interpreted the salient features
of Ohmic heating (Joule heating), viscous dissipation and auto-catalyst and reactants (i.e. homogeneousheterogeneous reactions). A whole analysis is carried out with different diffusion coefficients for both auto-catalyst
and reactants. It is also desired to observe the dependence of convective surface condition on flow regime in heat transport process. The resulting non-linear partial differential equations are found to be governing by
dimensionless ordinary differential equations with the implementation of similarity solutions. A homotopic procedure based on an iterative scheme is utilized for the solutions of the flow problem. Flow velocity, fluid temperature and concentration are addressed via graphs for different values of geometrical and rheological parameters of considered flow problem. Moreover, skin friction co-efficient and Nusselt number are sketched
and discussed graphically. The analysis reveals that higher values of mass diffusion ratio parameter result reduction in concentration of specie B whereas concentration of specie A enhances for higher mass diffusion
ratio parameter.
 
Keywords: squeezing flow; non-Darcy porous medium; convective boundary condition; joule heating; homogeneous heterogeneous reactions; viscous dissipation
DOI: https://doi.org/10.4283/JMAG.2018.23.2.323
Full Text : PDF