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Computational Thermal Sciences: An International Journal

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2016016971
pages 1-11

GENERAL SOLUTIONS OF CONVECTIVE FLOWS OF MHD CASSON FLUID WITH SLIP AND RADIATIVE HEAT TRANSFER AT THE BOUNDARY

M.A. Imran
Department of Mathematics, University of Management and Technology Lahore, Pakistan
Nehad Ali Shah
Abdus Salam School of Mathematical Sciences GC, University Lahore, Pakistan
K. Rafique
School of Quantitative Sciences, University Utara Malaysia, 06010 Sintok, Kedah, Malaysia
Ayesha Sohail
Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, Pakistan
Sana Ejaz
Department of Mathematics, University of Management and Technology Lahore, Pakistan

ABSTRACT

This paper deals with study of analytic solutions of unsteady free convection flow of MHD Casson fluid over an infinite vertical plate when slip condition, radiation, and porous effect are taken into consideration. The appropriate nondimensional variables are introduced, and the resulting governing equations are solved by means of the Laplace transform technique. The closed-form solutions are obtained for temperature and velocity fields. The rate of heat transfer from the plate to the fluid in terms of Nusselt number is also determined. Some known solutions for Newtonian fluid from the literature are obtained as limiting case. Such kinds of solutions can generate a large class of exact solutions corresponding to different fluid motions with technical relevance. Numerical computations were made by using the software Mathcad for the velocity field only. At the end, we see the influence of slip and other flow parameters on the fluid velocity and observed that the large values of the slip coefficient have an effect of reducing fluid velocity and slow fluid flow. This shows how the slip at the wall affects the fluid flow.