Homotopy analysis solution of hydromagnetic mixed convection flow past an exponentially stretching sheet with Hall current
type: Item
instance of: scholarly article
title: Homotopy analysis solution of hydromagnetic mixed convection flow past an exponentially stretching sheet with Hall current
zbMATH Open document ID: 1264.76077
DOI: 10.1155/2012/454023
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect is taken into consideration. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations using appropriate transformations and then solved analytically by the homotopy analysis method (HAM). The solution is found to be dependent on six governing parameters including the magnetic field parameter \(M\), Hall parameter \(m\), the buoyancy parameter \(\xi\), the radiation parameter \(R\), the parameter of temperature distribution \(a\), and Prandtl number Pr. A systematic study is carried out to illustrate the effects of these major parameters on the velocity and temperature distributions in the boundary layer, the skin-friction coefficients, and the local Nusselt number.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6173291
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/454023
OpenAlex ID: W2111813421
Wikidata QID: Q58911674
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description: scientific article; zbMATH DE number 6173291