Hybrid solutions obtained via integral transforms for magnetohydrodynamic flow with heat transfer in parallel-plate channels

Purpose The purpose of this study is to show the procedure, application and main features of the hybrid numerical-analytical approach known as generalized integral transform technique by using it to study magnetohydrodynamic flow of electrically conductive Newtonian fluids inside flat parallel-plate...

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Bibliographic Details
Published in:	International journal of numerical methods for heat & fluid flow Vol. 28; no. 7; pp. 1474 - 1505
Main Authors:	Pontes, Fabio Andrade, Macêdo, Emanuel Negrão, Batista, Clauderino da Silva, Lima, João Alves de, Quaresma, João Nazareno Nonato
Format:	Journal Article
Language:	English
Published:	Bradford Emerald Publishing Limited 25-09-2018 Emerald Group Publishing Limited
Subjects:	Channels Computational fluid dynamics Eigenvalues Electromagnetism Equilibrium flow Fluid flow Fluids Hartmann number Heat transfer Incompressible flow Integral transforms Laminar flow Magnetic field Magnetic fields Magnetohydrodynamic flow Magnetohydrodynamics Newtonian fluids Numerical analysis Parameters Partial differential equations Physical properties Prandtl number Problems Reynolds number Temperature Temperature fields Velocity Viscosity MHD flow Parallel-plate channels GITT approach
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Summary:	Purpose The purpose of this study is to show the procedure, application and main features of the hybrid numerical-analytical approach known as generalized integral transform technique by using it to study magnetohydrodynamic flow of electrically conductive Newtonian fluids inside flat parallel-plate channels subjected to a uniform and constant external magnetic field. Design/methodology/approach The mathematical formulation of the analyzed problem is given in terms of a streamfunction, obtained from the Navier–Stokes and energy equations, by considering steady state laminar and incompressible flow and constant physical properties. Findings Convergence analyses are performed and presented to illustrate the consistency of the integral transformation technique. The results for the velocity and temperature fields are generated and compared with those in the literature as a function of the main governing parameters. Originality/value A detailed analysis of the parametric sensibility of the main dimensionless parameters, such as the Reynolds number, Hartmann number, Eckert number, Prandtl number and electrical parameter, for some typical situations is performed.
ISSN:	0961-5539 1758-6585
DOI:	10.1108/HFF-02-2017-0076