Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-30T20:01:40.821Z Has data issue: false hasContentIssue false
  • English
  • Français

Laminar forced convection at low Péclet number

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.

This work is concerned with the forced convection of heat in a circular tube. The fluid flow is assumed to be laminar Poiseuille flow, and the physical parameters; viscosity, density, conductivity; are assumed to be independent of temperature changes. Viscous dissipation terms are also ignored, and there are no heat sources in the fluid. The problem is treated for the case of a step change in the wall temperature, and the eigenvalues have been obtained as an expansion in powers of the Péclet number for the smaller values, and in an asymptotic form for the larger values. The temperature distribution in the fluid in the neighbourhood of the temperature jump has been calculated for two values of the Péclet number, as have the Nusselt numbers.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 83 - 94
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Abramowitz, M., Cahill, W.F. and Wade, C. Jr, “Heat transfer in laminar flow through a tube”, J. Res. Nat. Bur. Standards 62 (1959), 101–105.CrossRefGoogle Scholar
[2]Agrawal, H.C., “Heat transfer in laminar flow between parallel plates at small Péclét numbers”, Appl. Sci. Res. A9 (1960), 177–189.CrossRefGoogle Scholar
[3]Millsaps, Knox and Pohlhausen, Karl, “Heat transfer to Hagen-Poiseuille flows”, Proc. Conf. Differential Equations, Univ. Maryland, Maryland, 1955, 271–294(University of Maryland Bookstore, College Park, Maryland, 1956).Google Scholar
[4]Pahor, Sergej and Strnad, Janez, “Heat transfer from laminar flow through cylindrical tubes”, Z. angew. Math. Phys. 12 (1961), 80–81.CrossRefGoogle Scholar
[5]Singh, S.N., “Heat transfer by laminar flow in a cylindrical tube”, Appl. Sci. Res. A7 (1958), 325–340.CrossRefGoogle Scholar