Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-18T15:24:16.294Z Has data issue: false hasContentIssue false
  • English
  • Français

Variable-viscosity flows in heated and cooled channels

Published online by Cambridge University Press:  12 April 2006

H. Ockendon  and
J. R. Ockendon
H. Ockendon
Affiliation:
Somerville College, Oxford
J. R. Ockendon
Affiliation:
Computing Laboratory, 19 Parks Road, Oxford
Get access Rights & Permissions [Opens in a new window]

Abstract

An asymptotic description is given of Newtonian fluid flow in a channel which is suddenly heated or cooled. The viscosity is assumed to be purely a function of temperature. The asymptotic approximation is that the downstream viscosity at the channel wall differs by an order of magnitude from that in the upstream flow. Although we make the drastic assumption that viscous dissipation is negligible, we can analyse flows where the viscosity depends either algebraically or exponentially on the temperature.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 83 , Issue 1 , 1 November 1977 , pp. 177 - 190
Copyright
© 1977 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

Craik, A. D. D. 1968 J. Fluid Mech. 36, 685.
Galili, N., Takserman-Krozer, R. & Rigbi, Z. 1975 Rheol. Acta 14, 550–567.
Hobve, L. A. 1974 J. Elast. Plast. 6, 160.
Lebon, G. & Nguyen, H. 1974 Int. J. Heat Mass Transfer 17, 655.
Lord, H. A. & Williams, G. 1975 Polymer Engng Sci. 15, 553, 569.
Munahata, T. 1975 Int. Chem. Engng 15, 193.
Pearson, J. R. A. 1977 J. Fluid Mech, 83, 191.