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Free convection at an axisymmetric stagnation point

Published online by Cambridge University Press:  26 April 2006

Norsarahaida Amin  and
N. Riley
Norsarahaida Amin
Affiliation:
Jabatan Matematik, Universiti Teknologi Malaysia, Johor Bahru, Malaysia
N. Riley
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
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Abstract

Free-convective flow in the neighbourhood of the upper pole of a heated sphere at high Grashof number is considered. Direct buoyancy effects have been studied previously, and it is known that the unsteady boundary-layer solution may terminate in singular behaviour. For a spatially varying surface temperature, a self-induced pressure gradient is present. The effects of this are examined in detail, and it is shown that a singular behaviour may again terminate the solution. The competing effects of buoyancy and induced pressure gradient are examined to delineate those cases in which a steady-state flow is achieved.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 314 , 10 May 1996 , pp. 105 - 112
Copyright
© 1996 Cambridge University Press

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References

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