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Free convection from a flat plate

Published online by Cambridge University Press:  28 March 2006

H. S. Takhar
H. S. Takhar
Affiliation:
University of Manchester
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Abstract

A numerical solution is presented for the development of free convection from a semi-infinite vertical flat plate which is uniformly heated up to a length l from the base and insulated for the rest of its length. At great heights above the heated part of the plate, the velocity and temperature distributions behave as if the heat were put in as a line source of heat at the base of the plate. Matching of the solutions for the heated and the insulated parts of the plate, by keeping the fluxes of heat and momentum continuous, determines the position of the effective origin of the similarity solution for the insulated plate in terms of the length, l, of the heated part of the plate. Graphs of the dimensionless velocity, temperature, heat flux and axial length parameters are given for different values of the Prandtl number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 1 , 16 October 1968 , pp. 81 - 89
Copyright
© 1968 Cambridge University Press

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References

Ostrach, S. 1953 An analysis of laminar free convection flow and heat transfer about a flat plate parallel to the direction of the generating body force. NACA Rept. 1111.Google Scholar
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Sparrow, E. M. & Gregg, J. L. 1958 Similar solutions for free convection from a non-isothermal vertical flat plate Tran. ASME 80, 379–386.Google Scholar
Takhar, H. S. 1967 Flows with buoyancy effects. Ph.D. Thesis. Dept. of Mathematics, University of Manchester.