Abstract
The fine structure of the flow field of a continuously stratified fluid around a circular cylinder for small values of the Froude number was investigated in laboratory and numerical experiments. The parameters of the leading perturbation, the internal-wave field, and the cylinder wake were calculated using a two-dimensional model. The existence of the previously experimentally observed high-gradient density layers in the wake that are parallel to the flow axis was for the first time confirmed by numerical calculations. Results of the numerical and experimental studies are in good agreement with each other and with analytical models for small values of the Froude number.
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V. G. Baidulov, and Yu. D. Chashechkin, “Effect of diffusion on the boundary flows in a continuously stratified fluid,” Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 29, No. 5, 666–672 (1993).
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).
Yu. D. Chashechkin and I. V. Voeikov, “Vortex systems past a cylinder in a continuously stratified fluid,” Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 29, No. 6, 821–830 (1993).
V. V. Mitkin amd Yu. D. Chashechkin, “Structure of stratified flow around a cylinder at low internal Froude number,” J. Appl. Mech. Tech. Phys., 40, No. 1, 69–75 (1999).
R. R. Long, “Some aspects of the flow of stratified fluids. 1. A theoretical investigation,” Tellus, 5, No. 1, 42–58 (1953).
A. V. Aksenov, V. A. Gorodtsov, and I. V. Sturova, “Modeling stratified ideal incompressible fluid flow around a cylinder,” Preprint No. 282, Institute of Problems of Mechanics, USSR Academy of Sciences (1986).
V. A. Gushchin, “Splitting method for the problems of dynamics of an inhomogeneous viscous incompressible fluid,” Zh. Vychsil. Mat. Mat Fiz., 21, No. 4, 1003–1017 (1981).
O. M. Belotserkovskii, Numerical Modeling in Continuum Mechanics [in Russian], Nauka, Moscow (1984).
O. M. Belotserkovskii, V. A. Gushchin, and V. N. Kon’shin, “Splitting method for investigating stratified fluid flows with a free surface,” Zh. Vychsil. 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 during motion of a body in a stratified fluid,” Dokl. Akad. Nauk SSSR, 279, No. 3, 562–566 (1984).
V. G. Baidulov and Yu. D. Chashechkin, “Flow formation at the beginning of motion of a horizontal cylinder in a continuously stratified fluid,” Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 35, No. 6, 821–828 (1999).
V. V. Mitkin, “Experimental study of the velocity field ahead of a two-dimensional obstacle in a continuously stratified fluid,” Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 37, No. 1, 85–92 (2001).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 1, pp. 43–54, January–February, 2007.
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Gushchin, V.A., Mitkin, V.V., Rozhdestvenskaya, T.I. et al. Numerical and experimental study of the fine structure of a stratified fluid flow over a circular cylinder. J Appl Mech Tech Phys 48, 34–43 (2007). https://doi.org/10.1007/s10808-007-0006-y
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DOI: https://doi.org/10.1007/s10808-007-0006-y