Numerical investigations are conducted into steady laminar combined convection flows in vertical parallel plate ducts with asymmetric constant wall temperature boundary conditions. The streamwise diffusion terms in the governing equations are neglected and the resulting parabolic equations are expressed in an implicit finite difference scheme and solved using a marching technique. In certain situations the combination of the size of the ratio |Gr/Re| and the difference in temperature between the walls of the duct is such that the fully developed flow profile, as the streamwise coordinate tends toward infinity, includes reverse flow in the vicinity of the cold wall. Techniques first used in a previous study are employed in finding a solution through the whole domain of the fluid for those situations involving reverse flow in the fully developed region. Comparisons with existing data near the duct entrance and far along the duct show very good agreement.
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November 1988
This article was originally published in
Journal of Heat Transfer
Research Papers
Flows in Vertical Channels With Asymmetric Wall Temperatures and Including Situations Where Reverse Flows Occur
D. B. Ingham,
D. B. Ingham
Department of Applied Mathematical Studies, University of Leeds, Leeds, United Kingdom
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D. J. Keen,
D. J. Keen
Department of Applied Mathematical Studies, University of Leeds, Leeds, United Kingdom
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P. J. Heggs
P. J. Heggs
Schools of Chemical Engineering, University of Bradford, Bradford, United Kingdom
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D. B. Ingham
Department of Applied Mathematical Studies, University of Leeds, Leeds, United Kingdom
D. J. Keen
Department of Applied Mathematical Studies, University of Leeds, Leeds, United Kingdom
P. J. Heggs
Schools of Chemical Engineering, University of Bradford, Bradford, United Kingdom
J. Heat Transfer. Nov 1988, 110(4a): 910-917 (8 pages)
Published Online: November 1, 1988
Article history
Received:
June 30, 1987
Online:
October 20, 2009
Citation
Ingham, D. B., Keen, D. J., and Heggs, P. J. (November 1, 1988). "Flows in Vertical Channels With Asymmetric Wall Temperatures and Including Situations Where Reverse Flows Occur." ASME. J. Heat Transfer. November 1988; 110(4a): 910–917. https://doi.org/10.1115/1.3250592
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