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Mixed convection in a two-dimensional buoyant plume

Published online by Cambridge University Press:  20 April 2006

Noor Afzal
Affiliation:
Department of Mechanical Engineering, Aligarh Muslim University, Aligarh, India

Abstract

The mixed convection in a two-dimensional line heat source is studied for the situations where buoyancy effects are favourable or adverse with respect to the oncoming vertical stream. The problem is analysed in terms of two co-ordinate expansions, direct and inverse, valid for small and large values of streamwise distance from the heat source. The solution for the first eleven and seven terms in direct and inverse co-ordinate expansions, respectively, are obtained. The direct expansion, when suitably transformed by Euler transformation and other techniques, predicts the velocity and temperature to two-digit accuracy for all values of streamwise coordinates, with a maximum error of 0·1% for velocity, 0·8% for temperature and 2·2% for displacement thickness far downstream from the source.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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References

Domb, C. & Sykes, M. F. 1957 On the susceptibility of a ferromagnetic above the Curie point. Proc. Roy. Soc. A 240, 214228.Google Scholar
Erdélyi, A. 1953 Higher Transcendental Functions, vols. 1 and 2. McGraw-Hill.
Fuji, T. 1963 The theory of the steady laminar natural convection above a horizontal line heat source and a point heat source. Int. J. Heat Mass Transfer 6, 597606.Google Scholar
Shanks, D. 1955 Nonlinear transformations of divergent and slowly convergent sequences. J. Math. Phys. 34, 142.Google Scholar
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
Van Dyke, M. 1974 Analysis and improvement of perturbation series. Quart. J. Mech. Appl. Math. 27, 423450.Google Scholar
Wesseling, P. 1974 An asymptotic solution for slightly buoyant plume. J. Fluid Mech. 70, 8187.Google Scholar
Wood, W. W. 1972 Free and forced convections from fine hot wires. J. Fluid Mech. 55, 419438.Google Scholar