Abstract
The flux of vorticity from a piston-cylinder vortex generator is commonly approximated using a model in which the fluid efflux is treated as a uniform slug of fluid with negligible boundary layer thickness. Shusser et al. (2002) introduced a correction to the slug model that accounts for boundary layer growth within the cylinder. We show that their implemented boundary layer solution contains an error, leading to an underestimate of the calculated boundary layer growth. We present a corrected model that agrees more closely with experimental measurements of starting jet vorticity flux and vortex ring core thickness.
Similar content being viewed by others
References
Gharib, M., Rambod, E., Shariff, K.: A universal time scale for vortex ring formation. J. Fluid Mech. 360, 121–140 (1998)
Krueger, P. S., Gharib, M.: The significance of vortex ring formation to the impulse and thrust of a starting jet. Phys. Fluids 15, 1271–1281 (2003)
Norbury, J.: A family of steady vortex rings. J. Fluid Mech. 57, 417–431 (1973)
Rosenhead, L.: Laminar Boundary Layers. Clarendon Press, Oxford (1963)
Shariff, K., Leonard, A.: Vortex rings. Annu. Rev. Fluid Mech. 24, 235–279 (1992)
Shusser, M., Gharib, M., Rosenfeld, M., Mohseni, K.: On the effect of pipe boundary layer growth on the formation of a laminar vortex ring generated by a piston/cylinder arrangement. Theor. Comp. Fluid Dyn. 15, 303–316 (2002)
Willert, C. E., Gharib, M.: Digital particle image velocimetry. Exp. Fluids 10, 181–193 (1991)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by
S.A. Berger
Rights and permissions
About this article
Cite this article
Dabiri, J., Gharib, M. A revised slug model boundary layer correction for starting jet vorticity flux. Theor. Comput. Fluid Dyn. 17, 293–295 (2004). https://doi.org/10.1007/s00162-004-0106-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00162-004-0106-8