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The non-monotonic behavior of forced convective heat transfer under the influence of an external magnetic field
Published in
2011
Volume: 59
   
Issue: 6
Pages: 459 - 486
Abstract
The heat transfer due to forced convection from an isothermal sphere in a steady stream of viscous, incompressible, and electrically conducting fluid under the influence of an external magnetic field is analyzed. Fourth order compact scheme is combined with the multigrid method to solve the energy equation in spherical polar coordinates. It is known from the literature that in the absence of a magnetic field, the variation of mean Nusselt number Nm with Prandtl number Pr follows a power law which in the present work is modified to include the effect of the magnetic field. For low moderate strength of magnetic field, i.e., 0 lt; N ≤ 2, a degradation of heat transfer is observed, however for N ≥ 3 the heat transfer is increased leading to a non-monotonic behavior. Further, it is observed that the thermal gradients are found to be non-monotonic with magnetic field. The relation between mean Nusselt number and thermal boundary layer thickness with respect to Prandtl number has also been analyzed. Copyright © Taylor & Francis Group, LLC.
About the journal
JournalNumerical Heat Transfer; Part A: Applications
ISSN10407782
Open AccessNo
Concepts (17)
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    COMPACT SCHEMES
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    ELECTRICALLY CONDUCTING FLUIDS
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    Energy equation
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    External magnetic field
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    FORCED CONVECTIVE HEAT TRANSFER
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    Fourth order
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    ISOTHERMAL SPHERES
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    MONOTONIC BEHAVIOR
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    MULTIGRID METHODS
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    Power law
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    SPHERICAL POLAR COORDINATES
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    Thermal boundary layer
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    Magnetic fields
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    Nusselt number
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    Prandtl number
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    Spheres
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    Heat convection