Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2015, Special Issue (2014), Article ID 975201, 16 pages.
Exact Solutions of Heat and Mass Transfer with MHD Flow in a Porous Medium under Time Dependent Shear Stress and Temperature
This paper aims to study the influence of thermal radiation on unsteady magnetohyrdodynamic (MHD) natural convection flow of an optically thick fluid over a vertical plate embedded in a porous medium with arbitrary shear stress. Combined phenomenon of heat and mass transfer is considered. Closed-form solutions in general form are obtained by using the Laplace transform technique. They are expressed in terms of exponential and complementary error functions. Velocity is expressed as a sum of thermal and mechanical parts. Corresponding limiting solutions are also reduced from the general solutions. It is found that the obtained solutions satisfy all imposed initial and boundary conditions and reduce to some known solutions from the literature as special cases. Analytical results for the pertinent flow parameters are drawn graphically and discussed in detail. It is found that the velocity profiles of fluid decrease with increasing shear stress. The magnetic parameter develops shear resistance which reduces the fluid motion whereas the inverse permeability parameter increases the fluid flow.
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 975201, 16 pages.
First available in Project Euclid: 16 September 2015
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Khan, Arshad; Khan, Ilyas; Ali, Farhad; Khalid, Asma; Shafie, Sharidan. Exact Solutions of Heat and Mass Transfer with MHD Flow in a Porous Medium under Time Dependent Shear Stress and Temperature. Abstr. Appl. Anal. 2015, Special Issue (2014), Article ID 975201, 16 pages. doi:10.1155/2015/975201. https://projecteuclid.org/euclid.aaa/1442420397