Abstract
This paper represents a numerical analysis for heat transfer of a Jeffrey fluid flow past a stretching sheet with ohmic dissipation and suction/injection. The partial differential equations are reduced into a set of convenient nonlinear ordinary differential equations with the boundary conditions. Haar wavelet quasilinearization method (HWQM) is used to solve ordinary differential equations. The effect of various related parameters on velocity and temperature profiles are computed and analyzed. Then, comparison is made between the numerical results of proposed method with existing numerical solutions found in the literature, and reasonable agreement is noted.
Highlights
This paper represents a numerical analysis for heat transfer of a Jeffrey fluid flow past a stretching sheet with ohmic dissipation and suction/injection
The partial differential equations are reduced into a set of convenient nonlinear ordinary differential equations with the boundary conditions
The boundary layer flows induced by a stretching sheet has great importance in the aerodynamic extrusion of plastic sheets, crystal growing, continuous casting, cooling of metallic plate in a bath, glass fiber and paper production, the boundary layer along a liquid film in the condensation process and many others [1]
Summary
The boundary layer flows induced by a stretching sheet has great importance in the aerodynamic extrusion of plastic sheets, crystal growing, continuous casting, cooling of metallic plate in a bath, glass fiber and paper production, the boundary layer along a liquid film in the condensation process and many others [1]. An exact analytic solution for the two dimensional boundary layer flow of viscous fluid over a linearly stretching surface was firstly presented by Crane [2] Later, this problem has been extensively examined through various aspects such as suction/blowing, stretching velocities, magnetohydrodynamics, heat/ mass transfer and so on. Rajeswari et al [13] studied the effect of chemical reaction, heat and mass transfer on nonlinear MHD boundary layer flow through vertical porous surface with heat source in the presence of suction. Elbashbeshy et al [14] used Runge-Kutta technique to study the effects of suction/injection and variable chemical reaction on mass transfer characteristics over unsteady stretching surface embedded in porous medium. For solving the nonlinear and PDEs, Bellman and Kalaba [31] proposed the quasilinearization method which is based on the Newton Raphson method
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