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Laminar boundary-layer flow over a semi-infinite plate impulsively heated orcooled

Published online by Cambridge University Press:  15 September 1999

M. Rebay  and
J. Padet
M. Rebay*
Affiliation:
Laboratoire de Thermomécanique, UTAP (EA 2061), Faculté des Sciences, B.P. 1039, 51687 Reims, France
J. Padet
Affiliation:
Laboratoire de Thermomécanique, UTAP (EA 2061), Faculté des Sciences, B.P. 1039, 51687 Reims, France
*
[email protected]
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Abstract

The unsteady forced convection involved in incompressible laminar boundary-layer over a semi-infinite plate is investigated. Initially, a steady state convective heat transfer with constant plate temperature or constant plate heat flux is established between the plate and the flow. By differential method, we study the thermal effect on this first state of a positive or a negative sudden change in either the plate temperature or plate heat flux. Numerical solution of differential equations is obtained for the whole transient from the initial steady state to the final one. Detailed results of the effect of the wall conditions change on the transient process are given for the fluids encountered in the usual applications (0.6 ≤ Pr ≤ 100). An exponential law of the instantaneous heat coefficient is deduced as function of Pr in the said Prandtl number range.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 7 , Issue 3 , September 1999 , pp. 263 - 269
Copyright
© EDP Sciences, 1999

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References

R.D. Cess, J. Heat Transfer 274 (August, 1961).
Cess, R.D., Raleigh, N.C., J. Appl. Math. Phys. 13, 160 (1962). CrossRef
Riley, N., J. Fluid Mech. 17, 97 (1963). CrossRef
S.R.C. Dennis, Recent Research of Unsteady Boundary Layers, 1st edn. (Laval University Press, Quebec, 1972).
M. Rebay, M. Lachi, J. Padet, in Proceedings of Congrès Français de Thermique SFT97, Toulouse, 1997, edited by P. Millan (Elsevier, Paris, 1998), pp. 489-494.
M. Rebay, Ph.D. thesis, University of Reims, 1998.
D.E. Adams, B. Gebhart, J. Heat Transfer 253 (May, 1964).
Wang, R.C.C., Chung, B.T.G., Thomas, L.C., J. Heat Transfer 99, 513 (1977). CrossRef
Polidori, G., Lachi, M., Padet, J, Int. Comm. Heat Mass Transfer 25, 33 (1998). CrossRef
Lyman, F.A., Appl. Sci. Res. A 13, 65 (1964). CrossRef
Sucec, J., Int. J. Heat Mass Transfer 18, 25 (1975). CrossRef
Kurkal, R.K., Munukutla, S., J. Thermophysics 3, 470 (1989). CrossRef
T. Cebeci, P. Bradshaw, Physical and computational aspects of convective heat transfer (Springer-Verlag, New-York, 1984).
A. Fortier, Mécanique des fluides et transferts de chaleur et de masse par convection (Masson, Paris, 1975).
J. Padet, Principes des transferts convectifs (Polytechnica, Paris, 1997).
S. Kakaç, Y. Yener, Convective heat transfer (CRC, Boca Raton, Florida, 1995).
Polidori, G., Rebay, M., Padet, J., I. J. Thermal Sci. 38, 398 (1999). CrossRef
Pierson, P., Padet, J., RGT 24, 781 (1985).