Homotopy analysis and differential quadrature solution of the problem of free-convective magnetohydrodynamic flow over a stretching sheet with the Hall effect and mass transfer taken into account

• Published in: Journal of applied mechanics and technical physics Vol. 52; no. 4; pp. 624 - 636
• Main Authors: Tabaei, H., Moghimi, M. A., Kimiaeifar, A.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01.07.2011; Springer
• Subjects: Applications of Mathematics; Classical and Continuum Physics; Classical Mechanics; Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fluid- and Aerodynamics; Fundamental areas of phenomenology (including applications); Hall effect; Magnetohydrodynamic flow; Magnetohydrodynamics and electrohydrodynamics; Mass transfer; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mechanical Engineering; Navier-Stokes equations; Nonlinearity; Physics; Physics and Astronomy; Quadratures; differential quadrature method; Hall effect; velocity distribution; temperature profiles; Homotopy analysis method; similarity solution; Magnetohydrodynamics; Similarity solution; Convection; Mass transfer; differential; quadrature method; Homotopy; Modelling; Free flow; Non linear effect; Differential method; Stretching; Plates; Concentration distribution; Navier-Stokes equations; Quadratures
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S002189441104016X

This paper presents an analytical solution of the problem of free-convective magnetohydrodynamic flow over a stretched sheet with the Hall effect and mass transfer taken into account. A similarity transform reduces the Navier-Stokes, energy, Ohm law, and mass-transfer equations to a system of nonlinear ordinary differential equations. The governing equations are solved analytically using an analytical method for solving nonlinear problems, namely, the homotopy analysis method. The results are compared with the results of a promising numerical method of differential quadrature developed by the authors. It is shown that there is very good agreement between analytical results and those obtained by the differential quadrature method. The differential quadrature method was validated, and the effects of non-dimensional parameters on the velocity, temperature and concentration profiles were studied.