Hostname: page-component-84b7d79bbc-g78kv Total loading time: 0 Render date: 2024-07-29T13:37:08.386Z Has data issue: false hasContentIssue false
  • English
  • Français

Laminar forced convection at low Péclet number. II

Published online by Cambridge University Press:  17 April 2009

A.S. Jones
A.S. Jones
Affiliation:
Department of Mathematics, University of Queensland, St Lucia, Queensland.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, the problem of heat transfer to laminar Poiseuille flow in a circular tube is discussed for the case of an insulated tube with a ring source of heat on the boundary. The solution is developed analytically for low values of the Péclet number, and formulae for calculating the eigenvalues and coefficients have been obtained. The temperature distributions in the neighbourhood of the source have been calculated for two values of the Péclet number. The extension to the case of arbitrary wall flux has also been discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 95 - 105
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Cess, R.D. and Shaffer, E.C., “Heat transfer to laminar flow between parallel plates with a prescribed wall heat flux”, Appl. Sci. Res. A8 (1958/1959), 339–344.Google Scholar
[2]Cess, R.D. and Shaffer, E.C., “Laminar heat transfer between parallel plates with an unsymmetrically prescribed heat flux at the walls”, Appl. Sci. Res. A9 (1959/1960), 64–70.Google Scholar
[3]Hsu, Chia-Jung, “An exact mathematical solution for entrance-region laminar heat transfer with axial conduction”, Appl. Sci. Res. 17 (1967), 359–376.Google Scholar
[4]Jones, A.S., “Laminar forced convection at low Péclet number”, Bull. Austral. Math. Soc. 6 (1972), 83–91.Google Scholar
[5]Sellars, J.R., Tribus, Myron and Klein, J.S., “Heat transfer to laminar flow in a round tube or flat conduit - The Graetz problem extended”, Trans. Amer. Soc. Mech. Engrs. 78 (1956), 441–448.CrossRefGoogle Scholar
[6]Siegel, R., Sparrow, E.M. and Hallman, T.M., “Steady laminar heat transfer in a circular tube with prescribed wall heat flux”, Appl. Sci. Res. A7 (1957/1958), 386–392.Google Scholar