Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-19T09:40:19.205Z Has data issue: false hasContentIssue false
  • English
  • Français

Low Reynolds number flow of a variable property gas past a heated circular cylinder

Published online by Cambridge University Press:  29 March 2006

P. F. Hodnett
P. F. Hodnett
Affiliation:
Department of Aerospace Engineering, University of Connecticut, Storrs, Connecticut
Get access Rights & Permissions [Opens in a new window]

Abstract

The low Reynolds number flow of a variable property gas past an infinite heated circular cylinder is studied when the temperature difference between the cylinder and the free stream is appreciable. The velocity field (and hence the drag on the cylinder) is calculated by the method of matched asymptotic expansions. It is found that the zero-order velocity field calculated on the Stokes approximation satisfies both the no slip condition at the cylinder and the uniform stream condition at infinity which is in strong contrast with the corresponding velocity field for incompressible slow flow past an unheated cylinder where the uniform stream condition at infinity cannot be satisfied. When the temperature of the cylinder is twice the temperature at infinity it is found that the drag on the cylinder is almost twice the drag on a similar unheated cylinder.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 3 , 27 November 1969 , pp. 465 - 476
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chang, I.-D. 1965 Z. angew. Math. Phys. 16, 449.
Cole, J. D. & Roshko, A. 1954 In Proceedings of Heat Transfer and Fluid Mechanics Institute, pp. 13–21. Stanford University Press.
Dennis, S. C. R., Hudson, J. D. & Smith, N. 1968 Phys. Fluids, 11, 933.
Hieber, C. A. & Gebhart, B. 1968 J. Fluid Mech. 32, 21.
Hodnett, P. F. 1968 Phys. Fluids, 11, 1636.
Kaplun, S. 1957 J. Math. Mech. 6, 595.
Kassoy, D. R. 1967 Phys. Fluids, 10, 938.
Kassoy, D. R., Adamson, T. C. & Messiter, A. F. 1966 Phys. Fluids, 9, 671.
Lamb, H. 1945 Hydrodynamics, 6th ed. New York: Dover.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid. Mech. 2, 237
Rimmer, P. L. 1968 J. Fluid Mech. 32, 1.
Wood, W. W. 1968 J. Fluid Mech. 32, 9.