Numerical Simulation of Flow over Non-Linearly Stretching Sheet Considering Chemical Reaction and Magnetic Field

Mohsen Razzaghi, Fatemeh Baharifard and Kourosh Parand
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Mohsen Razzaghi: Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA
Fatemeh Baharifard: School of Computer Science, Institute for Research in Fundamental Sciences (IPM), Tehran 19538-33511, Iran
Kourosh Parand: Department of Computer and Data Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839-63113, Iran

Mathematics, 2020, vol. 8, issue 9, 1-15

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.

Keywords: system of non-linear ODE; collocation method; rational Gegenbauer functions; non-linearly stretching sheet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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