The unsteady heat transfer due to a heat source in an MHD stretching sheet flow

The time evolution in the temperature field resulting from the sudden introduction of a heat source into the already fully established steady MHD flow of an electrically conducting fluid past a linearly stretching isothermal surface is considered. The problem is shown to be fully described by two di...

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Bibliographic Details
Published in:Meccanica (Milan) 2012-11, Vol.47 (8), p.1837-1847
Main Authors: Merkin, John H., Kumaran, V.
Format: Article
Language:English
Subjects:
Automotive Engineering
Civil Engineering
Classical Mechanics
Mechanical Engineering
Physics
Physics and Astronomy
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Summary:The time evolution in the temperature field resulting from the sudden introduction of a heat source into the already fully established steady MHD flow of an electrically conducting fluid past a linearly stretching isothermal surface is considered. The problem is shown to be fully described by two dimensionless parameters, a modified magnetic field strength γ and a heat source strength Q . Numerical solutions of the initial-value problem show that there is a critical value Q c of the parameter Q , dependent on γ , such that, for Q < Q c , the solution approaches a steady state at large times and, for Q > Q c , the solutions grows exponentially large as time increases. This growth rate is determined through an eigenvalue problem which also determines the critical value Q c . The limits of Q c for both small and large values of γ are discussed.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-012-9556-z