Abstract
Flow around a two-dimensional circular cylinder of a stratified fluid with periods buoyancy Tb = 25.2 and 6.28 sec is studied numerically over a wide range of Reynolds and Froude numbers. It is found that in the presence of a perturbation ahead of a cylinder which moves downstream with increasing Reynolds number, the salinity isolines have the shape of a semi-circular comb with sharp teeth. The shape change of the attached waves and the occurrence of fluid layers of different densities in the cylinder wake are studied. In flows with a buoyancy period Tb = 6.28 sec at Reynolds numbers Re < 60, stagnant zones are found in the cylinder wake, and at Re > 60, these zones are absent.
Similar content being viewed by others
References
V. A. Gushchin, “Splitting method for dynamic problems of an inhomogeneous incompressible viscous fluid,” Zh. Vychisl. Mat. Mat. Fiz., 21, No. 4, 1003–1017 (1981).
O. M. Belotserkovskii, Numerical Simulation in Continuum Mechanics [in Russian], Nauka, Moscow (1984).
O. M. Belotserkovskii, V. A. Gushchin, and V. N. Konshin, “Splitting method for studying flows stratified fluid with a free surface,” Zh. Vychisl. Mat. Mat. Fiz., 27, No. 4, 594–609 (1987).
O. M. Belotserkovskii, S. O. Belotserkovskii, V. A. Gushchin, et al., “Numerical and experimental modeling of gravitational internal waves for a body moving in a stratified fluid,” Dokl. Akad. Nauk SSSR, 289, No. 3, 562–566 (1984).
V. A. Gushchin, V. V. Mitkin, T. I. Rozhdestvenskaya, and Yu. D. Chashechkin, “Numerical and experimental study of the fine structure of a stratified fluid flow over a circular cylinder,” J. Appl. Mech. Tech. Phys.,, 48, No. 1, 34–43 (2007).
D. L. Boyer, P. A. Davies, H. J. S. Fernando, and X. Zhang, “Linearly stratified flow past a horizontal circular cylinder,” Philos. Trans. Roy. Soc. London, Ser. A, 328, 501–528 (1989).
V. V. Mitkin, “Experimental study of the formation and decay of two-dimensional stratified concurrent flows,” Candidate’s Dissertation in Phys. and Math. Sci., Moscow (1998).
V. Yu. Kistovich and Yu. D. Chashechkin, “Internal waves, viscous boundary layers, and internal boundary flows in a continuously stratified fluid,” Preprint No. 674, Institute of Problems of Mechanics, Moscow (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 6, pp. 69–76, November–December, 2011.
Rights and permissions
About this article
Cite this article
Gushchin, V.A., Rozhdestvenskaya, T.I. Numerical study of the effects occurring near a circular cylinder in stratified fluid flows with short buoyancy periods. J Appl Mech Tech Phy 52, 905–911 (2011). https://doi.org/10.1134/S0021894411060083
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894411060083