Abstract
In this paper we discuss with magneto hydrodynamic viscous flow due to a shrinking sheet in the presence of suction. We also discuss two dimensional and axisymmetric shrinking for various cases. Using similarity transformation the governing boundary layer equations are converted into its dimensionless form. The transformed simultaneous ordinary differential equations are solved analytically by using Homotopy analysis method. The approximate analytical expression of the dimensionless velocity, dimensionless temperature and dimensionless concentration are derived using the Homotopy analysis method through the guessing solutions. Our analytical results are compared with the previous work and a good agreement is observed.
Highlights
The flow over a shrinking surface is an important problem in many engineering processes with applications in industries
Bhattacharyya et al [2] examined the stability of viscous flow over a stretching sheet
Gill [6] examined a process for the step-by-step integration of differential equations in an automatic digital computing machine
Summary
The flow over a shrinking surface is an important problem in many engineering processes with applications in industries. Some foreign mass may be present either naturally or mixed with the air or water. Apelbat [1] investigated the mass transfer with a chemical raction of the first order effects of axial diffusion. Bhattacharyya et al [2] examined the stability of viscous flow over a stretching sheet. Cheng et al [5] investigated the non-similarity solution and correlation of transient heat transfer in laminar boundary layer flow over a wedge. Gupta [8] et al examined the heat and mass transfer on a stretching sheet with suction and blowing. Hakiem et al [9] explained the joule heating effects on MHD free convection flow of a micro polar fluid. Hayat et al [10] found the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet
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