Temperature And Heat Transfer Profiles Of A
Fluid Film Squeezed Between Two Permeable
Isothermal Discs Rotating Within A Magnetic Field
Author(s)
B. Bhatt & R. Mohais
Abstract
We consider the case of an electrically conducting fluid squeezed between two permeable,
parallel discs placed within a magnetic field. Each disc is maintained at a
distinct isothermal temperature and is allowed to rotate independently. The upper
disc is then set in motion towards the lower one. Using a similarity solution, analytical
and numerical solutions are derived from which the effects of various flow
parameters on the temperature and heat transfer profiles are studied. The Hartmann
number has an effect on the temperature profiles when the discs are allowed
to rotate in the same direction, but the effects are negligible during rotation in
the opposite direction. The Prandtl number also affects the temperature and heat
transfer profiles for small values of the Squeeze Reynolds number. The effect of
permeability on the heat transfer profile varies depending on the speed of rotation
of the discs relative to each other.
Keywords: heat transfer, permeable discs, electrically conducting fluid.
1 Introduction
The problem of a fluid enclosed between two parallel discs has long been a source
of intrigue to many mathematicians over the years. von K´arm´an was the first to
study the situation where an infinite disc rotated in an unbounded fluid [1]. It was
Hamza however who examined the effect of a magnetic field on the radial and
axial velocity profiles associated with a fluid film squeezed between two rotating
surfaces [2]. He later studied the case of irrotational discs subjected to temperature
variations and found that the effect of squeezing was of primary significance,
whereas the effect of the magnetic forces was negligible [3]. Further, Hamza and
Keywords
heat transfer, permeable discs, electrically conducting fluid.
Related Book
Other papers in this volume
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