Abstract
The purpose of this paper is to investigate a system of differential equations related to the viscous flow over a stretching sheet. It is assumed that the intended environment for the flow includes a chemical reaction and a magnetic field. The governing equations are defined on the semi-finite domain and a numerical scheme, namely rational Gegenbauer collocation method is applied to solve it. In this method, the problem is solved in its main interval (semi-infinite domain) and there is no need to truncate it to a finite domain or change the domain of the problem. By carefully examining the effect of important physical parameters of the problem and comparing the obtained results with the answers of other methods, we show that despite the simplicity of the proposed method, it has a high degree of convergence and good accuracy.
Highlights
The problem of the boundary layer that arises on continuously stretching sheet is one of the important phenomena in engineering and industrial processes
The equations of the problem related to the steady two-dimensional incompressible flow of an electrically conducting viscous fluid through a non-linearly semi-infinite stretching sheet affected by chemical reaction and magnetic field is considered [13,14,32,33]:
We consider the various values of magnetic parameter (N), Schmidt number (Sc) and chemical reaction (K) and report numerical values obtained by the proposed method for the mass transfer coefficients C00 (0)
Summary
The problem of the boundary layer that arises on continuously stretching sheet is one of the important phenomena in engineering and industrial processes. For this reason, a lot of research has been done to address this issue. The effect of heat transfer on this surface, which has a constant velocity, was studied experimentally by Tsou et al [4]. The more general issue of the effect of suction or injection on the two components of heat transfer and mass transfer in the boundary layer at the stretching sheet on a fixed-velocity moving plate was investigated by Erickson et al [5]
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