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Heat transfer from a sphere at low Reynolds numbers

Published online by Cambridge University Press:  29 March 2006

S. C. R. Dennis ,
J. D. A. Walker  and
J. D. Hudson
S. C. R. Dennis
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Canada
J. D. A. Walker
Affiliation:
Department of Mathematics, University College, London Present address: School of Mechanical Engineering, Purdue University, W. Lafayette, Indiana 47907, U.S.A.
J. D. Hudson
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield
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Abstract

The heat transfer due to forced convection from an isothermal sphere in a steady stream of viscous incompressible fluid is calculated for low values of the Reynolds number and Prandtl numbers of O(1). The mean Nusselt number is compared with the results of experimental measurements. At very low Reynolds numbers, both the local and mean Nusselt numbers are compared with the results obtained from the theory of matched asymptotic expansions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 2 , 4 September 1973 , pp. 273 - 283
Copyright
© 1973 Cambridge University Press

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References

Acrivos, A. & Taylor, T. D. 1962 Phys. Fluids, 5, 387.
Chester, W. & Breach, D. R. 1969 J. Fluid Mech. 37, 751.
Dennis, S. C. R., Hudson, J. D. & Smith, N. 1968 Phys. Fluids, 11, 933.
Dennis, S. C. R. & Walker, J. D. A. 1971 J. Fluid Mech. 48, 771.
Illingworth, C. R. 1963 In Laminar Boundary Layers (ed. L. Rosenhead), pp. 163–197. Oxford University Press.
Jenson, V. G. 1959 Proc. Roy. Soc. A, 249, 346.
Kassoy, D. R., Adamson, T. R. & Messiter, A. F. 1966 Phys. Fluids, 9, 671.
Kramers, H. A. 1946 Physica, 12, 61.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.
Ranz, W. E. & Marshall, W. R. 1952 Chem. Eng. Prog. 48, 141.
Richardson, P. D. 1968 W.A.D.D. Tech. Note, no. 59–1.
Rimmer, P. L. 1968 J. Fluid Mech. 32, 1.
Rimmer, P. L. 1969 J. Fluid Mech. 35, 827.
Rosser, J. B. 1967 Math. Res. Center, University of Wisconsin, Tech. Summ. Rep. no. 797.
Rotenberg, M., Bivins, M., Metropolis, N. & Wooten, J. K. 1959 The 3-j and 6-j Symbols. M.I.T. Press.
Schlichting, H. 1960 Boundary Layer Theory. McGraw-Hill.
Vliet, G. C. & Leppert, G. 1961 J. Heat Transfer, Trans. A.S.M.E. C, 83, 163.
Whitaker, S. 1972 A.I.Ch.E. J. 18, 361.
Yuge, T. 1960 J. Heat Transfer, Trans. A.S.M.E. C, 82, 214.