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ORIGINAL PAPER
Effects of Heat Source/Sink and Chemical Reaction on MHD Maxwell Nanofluid Flow Over a Convectively Heated Exponentially Stretching Sheet Using Homotopy Analysis Method
1
Department of Mathematics, The M.S. University of Baroda Vadodara, Gujarat-390002, India
2
Department of Mechanical Engineering Cleveland State University Cleveland-44114, OHIO, USA
Online publication date: 2018-03-14
Publication date: 2018-02-01
International Journal of Applied Mechanics and Engineering 2018;23(1):137-159
KEYWORDS
HAMchemical reactionheat source/sinkMaxwell nanofluidporous exponentially stretching sheetconvective boundary conditions
ABSTRACT
The aim of this paper is to study the effects of chemical reaction and heat source/sink on a steady MHD (magnetohydrodynamic) two-dimensional mixed convective boundary layer flow of a Maxwell nanofluid over a porous exponentially stretching sheet in the presence of suction/blowing. Convective boundary conditions of temperature and nanoparticle concentration are employed in the formulation. Similarity transformations are used to convert the governing partial differential equations into non-linear ordinary differential equations. The resulting non-linear system has been solved analytically using an efficient technique, namely: the homotopy analysis method (HAM). Expressions for velocity, temperature and nanoparticle concentration fields are developed in series form. Convergence of the constructed solution is verified. A comparison is made with the available results in the literature and our results are in very good agreement with the known results. The obtained results are presented through graphs for several sets of values of the parameters and salient features of the solutions are analyzed. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed.
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