Abstract
In this paper, the problem of steady slip magnetohydrodynamic (MHD) boundary layer flow and heat transfer over a nonlinear permeable shrinking surface in a heat generating fluid is studied. The transformed boundary layer equations are then solved numerically using the bvp4c function in MATLAB solver. Numerical results are obtained for various values of the magnetic parameter, the slip parameter and the suction parameter. The skin friction coefficients, the heat transfer coefficients, as well as the velocity and temperature profiles for various values of parameters are also obtained and discussed.Â
Highlights
In the problems of shrinking and stretching surfaces, the main assumption of many studies is the "no slip condition" on the surface
The slip magnetohydrodynamic (MHD) flow and heat transfer problem over a nonlinear permeable stretching surface with chemical reaction has been studied by Yazdi et al [3]
Jain and Choudhary [7] studied the effect of magnetohydrodynamic on boundary layer flow over an exponentially shrinking permeable sheet with slip condition, placed at the bottom of fluid saturated porous medium, where the setup was subjected to suction to contain the vorticity in the boundary layer
Summary
In the problems of shrinking and stretching surfaces, the main assumption of many studies is the "no slip condition" on the surface. Reddy et al [4] investigated a two-dimensional MHD boundary layer flow of a Maxwell nanofluid over an exponentially stretching surface in the presence of velocity slip and convective boundary conditions. Eegunjobi and Makinde [11] investigated the combined effects of magnetic field, buoyancy force, velocity slip, suction and injection, porous medium permeability, thermal radiation absorption, viscous and Joule heating on MHD mixed convection flow of Casson fluid in a vertical channel. Ahmed and Rashed [13] used the Buongiorno’s model and considered the effects of slip, thermal radiation and convective boundary conditions The aim of this present study is to solve the problem of slip MHD flow and heat transfer in a heat generating fluid over a nonlinear permeable shrinking surface. To the best of our knowledge, this specific problem has not been considered before
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