Abstract
The problem of evolution of an axisymmetric vortex generated by an infinitely elongated cylinder rotating around its axis in a compressible viscous fluid is considered. The asymptotic solution is constructed for large times. The conditions under which the velocity circulation at long distances is higher than in the incompressible fluid case are determined.
Similar content being viewed by others
REFERENCES
Loitsyanskii, L.G., Mekhanika zhidkosti i gaza (Fluid Mechanics), Moscow: Drofa, 2003.
Gaifullin, A.M., Self-similar unsteady viscous flow, Fluid Dyn., 2005, no. 4, pp. 29–35.
Gaifullin, A.M., Vikhrevye techeniya (Vortical Flows), Moscow: Nauka, 2015.
Bashkin, V.A. and Egorov, I.V., Chislennoe issledovanie zadach vneshnei i vnutrennei aerodinamiki (Numerical Investigation of Problems on External and Internal Aerodynamics), Moscow: Fizmatlit, 2013.
Nair, M.T., Sengupta, T.K., and Chauhen, V.S., Flow past rotating cylinders at high Reynolds numbers using higher order upwind scheme, Comput. Fluids, 1998, vol. 27, no. 1, pp. 47–70.
Kalinin, E.I. and Mazo, A.B., Steady and periodic regimes of laminar flow around the rotating cylinder, TsAGI Sci. J., 2011, vol. 42, no. 5, pp. 52–71.
Petrov, A.G. and Yudin, M.A., On cylinder dynamics in bounded ideal fluid flow with constant vorticity, Fluid Dyn., 2019, vol. 54, no. 7, pp. 898–906.
Mack, L.M., The compressible viscous heat-conducting vortex, J. Fluid Mech., 1960, vol. 8, no. 2, pp. 284–292.
Byrkin, A.P., On exact solution of the Navier–Stokes equations for compressible flows in channels, Uch. Zap. TsAGI, 1970, vol. 1, no. 6, pp. 15–21.
Van Dyke, M.D., Perturbation Methods in Fluid Mechanics, New York: Academic Press, 1964.
Funding
This paper was supported by the Russian Foundation for Basic Research, project no. 19-01-00163.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by N. Semenova
Rights and permissions
About this article
Cite this article
Gadzhiev, D.A., Gaifullin, A.M. & Zubtsov, A.V. On Vortex Generation by a Rotating Cylinder. Fluid Dyn 55, 965–981 (2020). https://doi.org/10.1134/S0015462820080042
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462820080042