Hostname: page-component-848d4c4894-sjtt6 Total loading time: 0 Render date: 2024-06-30T06:07:26.520Z Has data issue: false hasContentIssue false
  • English
  • Français

Low-Reynolds-number instabilities in stagnating jet flows

Published online by Cambridge University Press:  21 April 2006

J. O. Cruickshank
J. O. Cruickshank
Affiliation:
Avco Research Laboratory Textron, 2385 Revere Beach Parkway, Everett. MA 02149. USA
Get access Rights & Permissions [Opens in a new window]

Abstract

A theoretical model is developed for predicting the critical plate-orifice distances for viscous fluid buckling in plane and axisymmetric low-Reynolds-number bounded jets in stagnation flow. The theory is based on a hypothesis that treats the spatial growth of perturbation to the jet in a manner that distinguishes between the near-wall and far-field regions of the jet. This perturbation growth rate is shown to be the important parameter in the determination of the critical plate-orifice distances.

This study also uses a one-dimensional model of the fluid column when it is displaced from equilibrium to determine the frequency at which buckling is first initiated in the case of the plane jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 193 , August 1988 , pp. 111 - 127
Copyright
© 1988 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

Basset, A. B. 1894 Waves and jets in a viscous liquid. Am. J. Maths. 16, 93–110.Google Scholar
Batchelor, G. K. & Gill, A. E. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529–551.Google Scholar
Bejan, A. 1987 Buckling flows: a new frontier in fluid mechanics. Annual Review of Numerical Fluid Mechanics and Heat Transfer (ed. T. C. Chawla), pp. 262–304. Hemisphere.
Bolotin, V. V. 1964 The Dynamic Stability of Elastic Systems. San Francisco: Holden-Day.
Cruickshank, J. O. 1980 Viscous fluid buckling: a theoretical and experimental analysis with extensions to general fluid stability. Ph.D. dissertation. Iowa State University. Ames, Iowa.
Cruickshank, J. O. 1987 A new method for predicting the critical Taylor number in rotating cylindrical flows. J. Appl. Mech. 54, 713–719.Google Scholar
Cruickshank, J. O. & Munson, B. R. 1981 Viscous fluid buckling of plane and axisymmetric jets. J. Fluid Mech. 113, 221–239.Google Scholar
Cruickshank, J. O. & Munson, B. R. 1982 An energy loss coefficient in fluid buckling. Phys. Fluids 25, 1935–1937.Google Scholar
Cruickshank, J. O. & Munson, B. R. 1983 A theoretical prediction of the fluid buckling frequency. Phys. Fluids 24, 928–930.Google Scholar
Swope, R. D. & Ames, W. F. 1963 Vibrations of a moving threadline. J. Franklin Inst. 275, (1), 37–55.Google Scholar
Taylor, G. I. 1968 Instability of jets, threads and sheets of viscous fluid. Proc. Intl. Congr. Appl. Mech. Springer.