Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-04T18:31:52.370Z Has data issue: false hasContentIssue false
  • English
  • Français

Oscillatory free convection from an infinite horizontal cylinder

Published online by Cambridge University Press:  28 March 2006

J. H. Merkin
J. H. Merkin
Affiliation:
University of Manchester
Get access Rights & Permissions [Opens in a new window]

Abstract

The boundary layer on a horizontal cylinder caused by free convection, when the temperature of the cylinder is oscillating harmonically, is considered in a way which is analogous to the problem of a cylinder performing high-frequency oscillations along its diameter. It is found that, outside the thin boundary layer on the cylinder, a steady flow is induced. An outer steady boundary layer, matched with the inner boundary layer, is required in order to be able to satisfy the conditions which apply at large distances from the cylinder.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 30 , Issue 3 , 29 November 1967 , pp. 561 - 575
Copyright
© 1967 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

Goldstein, S. 1938 (editor) Modern Developments in Fluid Mechanics, Vol. II. Oxford.
Lighthill, M. J. 1963 Real and ideal fluids. Chapter I in Laminar Boundary Layers(ed. L. Rosenhead), pp. 1–45. Oxford.
Riley, N. 1965 Oscillating viscous flows. Mathematika, 12, 161–75.Google Scholar
Schlichting, H. 1932 Berechnung ebner periodischer Grenzschichtströmungen. Phys. Z. 33, 327–35.Google Scholar
Stuart, J. T. 1963 Unsteady boundary layers. Chapter VII in Laminar Boundary Layers(ed. L. Rosenhead), pp. 349–408. Oxford.
Stuart, J. T. 1966 Double boundary layers in oscillatory viscous flow. J. Fluid Mech. 24, 673–87.Google Scholar
Whitham, G. B. 1963 The Navier-Stokes equations of motion. Chapter III in Laminar Boundary Layers(ed. L. Rosenhead). Oxford.