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Convection by a horizontal thermal gradient

Published online by Cambridge University Press:  14 August 2007

H. J. J. GRAMBERG ,
P. D. HOWELL  and
J. R. OCKENDON
H. J. J. GRAMBERG
Affiliation:
OCIAM, Mathematical Institute, University of Oxford, Oxford OX1 3LB, UK
P. D. HOWELL
Affiliation:
OCIAM, Mathematical Institute, University of Oxford, Oxford OX1 3LB, UK
J. R. OCKENDON
Affiliation:
OCIAM, Mathematical Institute, University of Oxford, Oxford OX1 3LB, UK
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Abstract

This paper considers a paradigm large-Prandtl-number, large-Rayleigh-number forced convection problem suggested by the batch melting process in the glass industry. Although the fluid is heated from above, non-uniform heating in the horizontal direction induces thermal boundary layers in which colder liquid is driven over hotter liquid. This leads to an interesting selection problem in the boundary layer analysis, whose resolution is suggested by a combination of analytical and numerical evidence.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 586 , 10 September 2007 , pp. 41 - 57
Copyright
Copyright © Cambridge University Press 2007

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References

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