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Heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with power law surface temperature using finite element method

Heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with power law... Purpose – The purpose of this paper is to deal with the study of free convection magnetohydrodynamic (MHD) boundary layer flow of an incompressible viscoelastic fluid along an inclined moving plate and heat transfer characteristics with prescribed quadratic power‐law surface temperature. Design/methodology/approach – The governing partial differential equations are transformed into non‐dimensional, non‐linear coupled ordinary differential equations which are solved numerically by robust Galerkin finite element method. Findings – Numerical results for the dimensionless velocity and temperature profiles are displayed graphically for various physical parameters such as viscoelasticity, Prandtl number, angle of inclination parameter, magnetic and buoyancy parameter. The local Nusselt number is found to be the decreasing function of magnetic field parameter whereas it increases with increasing values of Prandtl number, viscoelastic parameter and buoyancy parameter. Practical implications – The present problem finds significant applications in MHD power generators, cooling of nuclear reactors, thin film solar energy collector devices. Originality/value – The objective of this work is to analyze the heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with quadratic power law surface temperature. An extensively validated, highly efficient, variation finite element code is used to study this problem. The results are validated and demonstrated graphically. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multidiscipline Modeling in Materials and Structures Emerald Publishing

Heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with power law surface temperature using finite element method

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References (33)

Publisher
Emerald Publishing
Copyright
Copyright © 2014 Emerald Group Publishing Limited. All rights reserved.
ISSN
1573-6105
DOI
10.1108/MMMS-11-2012-0025
Publisher site
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Abstract

Purpose – The purpose of this paper is to deal with the study of free convection magnetohydrodynamic (MHD) boundary layer flow of an incompressible viscoelastic fluid along an inclined moving plate and heat transfer characteristics with prescribed quadratic power‐law surface temperature. Design/methodology/approach – The governing partial differential equations are transformed into non‐dimensional, non‐linear coupled ordinary differential equations which are solved numerically by robust Galerkin finite element method. Findings – Numerical results for the dimensionless velocity and temperature profiles are displayed graphically for various physical parameters such as viscoelasticity, Prandtl number, angle of inclination parameter, magnetic and buoyancy parameter. The local Nusselt number is found to be the decreasing function of magnetic field parameter whereas it increases with increasing values of Prandtl number, viscoelastic parameter and buoyancy parameter. Practical implications – The present problem finds significant applications in MHD power generators, cooling of nuclear reactors, thin film solar energy collector devices. Originality/value – The objective of this work is to analyze the heat transfer of convective MHD viscoelastic fluid along a moving inclined plate with quadratic power law surface temperature. An extensively validated, highly efficient, variation finite element code is used to study this problem. The results are validated and demonstrated graphically.

Journal

Multidiscipline Modeling in Materials and Structures – Emerald Publishing

Published: Jun 3, 2014

Keywords: FEM; Free convection; Heat transfer; Magnetohydrodynamics; Inclined moving plate; Viscoelastic fluid

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