Heat transfer from a sphere in a stream of small Reynolds number

P. L. Rimmer

doi:10.1017/S0022112068000546

Abstract

The present paper deals with the temperature field past an isothermal sphere. Acrivos & Taylor (1962) have obtained results for the case R [les ] 1 with no restriction on the Prandtl number. The results of the present paper are for the case R < 1 in which the Prandtl number is of order unity. An expansion for the Nusselt number is given up to and including the term of order R2.

Information

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Hieber, C. A. and Gebhart, B. 1969. Mixed convection from a sphere at small Reynolds and Grashof numbers. Journal of Fluid Mechanics, Vol. 38, Issue. 1, p. 137.

Kotorynski, W. P. 1969. A Green's function for the energy transport equation in Oseen flow. Zeitschrift für angewandte Mathematik und Physik ZAMP, Vol. 20, Issue. 1, p. 138.

Hodnett, P. F. 1969. Low Reynolds number flow of a variable property gas past a heated circular cylinder. Journal of Fluid Mechanics, Vol. 39, Issue. 3, p. 465.

Gupalo, Iu.P. and Riazantsev, Iu.S. 1971. On mass and heat transfer prom a spherical particle in a laminar stream of viscous fluid. Journal of Applied Mathematics and Mechanics, Vol. 35, Issue. 2, p. 221.

Gupalo, Yu.P. and Ryazantsev, Yu.S. 1972. Mass and heat transfer from a sphere in a laminar flow. Chemical Engineering Science, Vol. 27, Issue. 1, p. 61.

Sano, T. 1972. Heat transfer from a sphere immersed in a stream of an inviscid fluid at small P�clet number. Journal of Engineering Mathematics, Vol. 6, Issue. 2, p. 217.

MASLIYAH, JACOB H. and EPSTEIN, NORMAN 1972. Proceedings of the International Symposium on Two-Phase Systems. p. 613.

Ananikov, S. V. and Talantov, A. V. 1973. Vaporization of a drop of fuel in a laminar flow of gas. Combustion, Explosion, and Shock Waves, Vol. 9, Issue. 6, p. 743.

Dennis, S. C. R. Walker, J. D. A. and Hudson, J. D. 1973. Heat transfer from a sphere at low Reynolds numbers. Journal of Fluid Mechanics, Vol. 60, Issue. 2, p. 273.

Gupalo, Yu.P. and Ryazantsev, Yu.S. 1974. Heat and mass transfer from a sphere with a chemical surface reaction in a laminar flow. Acta Astronautica, Vol. 1, Issue. 7-8, p. 993.

Yoshinobu, Hirowo and Sano, Takao 1974. Frozen Region Formed around a Point Heat Sink under a Uniform Stream of a Liquid at Small Reynolds Numbers. Journal of the Physical Society of Japan, Vol. 36, Issue. 4, p. 1192.

Sharma, O. P. and Bhatnagar, R. K. 1975. Low Reynolds Number Heat Transfer from a Sphere in a Laminar Flow of Non‐Newtonian Fluids. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 55, Issue. 5, p. 235.

Lyman, F.A. 1977. Attenuation of high-intensity sound in a droplet laden gas. Journal of Sound and Vibration, Vol. 51, Issue. 2, p. 219.

Zapryanov, Z. and Bozduganov, I. 1978. Heat Transfer from a Porous Sphere in a Stream of Small Reynolds Number. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 58, Issue. 1, p. 55.

Douglass, R.W. Munson, B.R. and Shaughnessy, E.J. 1978. Thermal convection in rotating spherical annuli—1. Forced convection. International Journal of Heat and Mass Transfer, Vol. 21, Issue. 12, p. 1543.

Takhar, H. S. and Whitelaw, M. H. 1978. Higher order heat transfer from a rotating sphere. Acta Mechanica, Vol. 30, Issue. 1-2, p. 101.

Swarup, Shanti 1978. Heat transfer from a porous sphere in low Reynolds number flow. Zeitschrift für angewandte Mathematik und Physik ZAMP, Vol. 29, Issue. 1, p. 147.

Sayegh, N. N. and Gauvin, W. H. 1979. Numerical analysis of variable property heat transfer to a single sphere in high temperature surroundings. AIChE Journal, Vol. 25, Issue. 3, p. 522.

Polianin, A.D. and Sergeev, Iu.A. 1979. Convective diffusion to a particle in a fluid with linear kinetics. Journal of Applied Mathematics and Mechanics, Vol. 43, Issue. 1, p. 69.

Gupalo, Yu.P. Polyanin, A.D. Ryazantsev, Yu.S. and Sergeev, Yu.A. 1980. Convective diffusion to a solid particle in the case of nonlinear kinetics of heterogeneous chemical reaction. International Journal of Heat and Mass Transfer, Vol. 23, Issue. 1, p. 89.

Download full list

Article contents

Heat transfer from a sphere in a stream of small Reynolds number

Abstract

Information

Access options

Article purchase

Temporarily unavailable

References

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Heat transfer from a sphere in a stream of small Reynolds number

Abstract

Information

Access options

Article purchase

Temporarily unavailable

References

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests