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An advanced experimental investigation of quasi-two-dimensional shear flow

Published online by Cambridge University Press:  26 April 2006

F. V. Dolzhanskii
Affiliation:
Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevsky 3, 109017 Moscow, Russia
V. A. Krymov
Affiliation:
Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevsky 3, 109017 Moscow, Russia
D. Yu. Manin
Affiliation:
Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevsky 3, 109017 Moscow, Russia

Abstract

Forced shear flows in a thin layer of an incompressible viscous fluid are studied experimentally. Streak photographs are used to obtain the stream function of vortical flow patterns arising after the primary shear flow loses stability. Various flow characteristics are determined and results are compared to the stability theory of quasi-two-dimensional flows. The applicability of the quasi-two-dimensional approximation is directly verified and the possibility of reconstruction of the driving force from the secondary flow pattern is demonstrated.

Type
Research Article
Copyright
© 1992 Cambridge University Press

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References

Busse F. H. 1968 Shear flow instabilities in rotating fluid. J. Fluid Mech. 33, 577589.Google Scholar
Chomaz J. M., Rabaud M., Basdevant, C. & Couder Y. 1988 Experimental and numerical investigation of a forced circular shear layer. J. Fluid Mech. 187, 115140.Google Scholar
Dolzhanskii F. V. 1987 On the effect of external friction on the stability of plane parallel shear flows. Izv. Acad. Sci. USSR. Atmos. Ocean. Phys. 23, 348356.Google Scholar
Dolzhanskii, F. V., Krymov, V. A. & Manin, D. Yu. 1990 Stability and vortex structures of quasi two-dimensional shear flows. Usp. Fiz. Nauk. 160 (7), 147 (transl. in Sov. Phys. Usp. 33 (7), 495–520).Google Scholar
Dolzhanskii F. V., Krymov, V. A. & Manin D. Yu. 1991 Quasi two-dimensional coherent structures. In Non-linear Dynamics of Structures (Perm-Moscow, 11–20 June 1990) (ed. R. Z. Sagdeev, U. Frisch, A. K. M. F. Hussein, S. S. Moiseev & N. Erokhin), pp. 120. World Scientific.
Dolzhanskii, F. V. & Manin D. Yu. 1990 Free shear layers and laboratory simulation of atmospheric circulation. Izv. Acad. Sci. USSR. Atmos. Ocean. Phys. 26, 12821288.Google Scholar
Dovzhenko, V. A. & Krymov V. A. 1983 Momentum transfer by vortices in an unstable plane axially symmetric shear flow. Izv. Acad. Sci. USSR. Atmos. Ocean. Phys. 19, 534539.Google Scholar
Dovzhenko V. A., Novikov, Yu. V. & Oboukhov A. M. 1979 Laboratory simulation of vortex generation in an axially symmetric azimuthal field by MHD method. Izv. Acad. Sci. USSR. Atmos. Ocean. Phys. 15, 11991202.Google Scholar
Gledzer E. B., Dolzhanskii, F. V. & Oboukhov A. M. 1981 Hydrodynamic-Type Systems and Their Applications. Moscow: Nauka.
Krymov V. A. 1989 Stability and supercritical regimes of quasi two-dimensional shear flows with external friction (experiment) Izv. Acad. Nauk USSR. Mekh. Zhidk. Gaza (transl. in Fluid Dyn.) 2, 1218.Google Scholar
Krymov, V. A. & Manin D. Yu. 1989 Linear and non-linear stability of quasi two-dimensional jet flows with external friction. Izv. Acad. Sci. USSR. Atmos. Ocean. Phys. 25, 234242.Google Scholar
Manin D. Yu. 1989 Stability and supercritical regimes of quasi two-dimensional shear flows with external friction (theory) Izv. Acad. Sci. USSR. Mekh. Zhidk. Gaza (transl. in Fluid Dyn.) 2, 1927.Google Scholar
Niino H. 1982 A weekly non-linear theory of barotropic instability J. Met. Soc. Japan II 60, 10011023.Google Scholar
Niino, H. & Misawa N. 1984 An experimental and theoretical study of barotropic instability. J. Atmos. Sci. 41, 19922011.Google Scholar
Rabaud, M. & Couder V. 1983 A shear-flow instability on a circular geometry. J. Fluid Mech. 136, 291319.Google Scholar
Sommeria J., Meyers, S. & Swinney H. 1989 Experiment on vortices and Rossby waves in eastward and westward jets. In Nonlinear Topics in Ocean Physics: Intl School of Phys. Enrico Fermi. Varenna, 26 July–5 Aug. 1988 (ed. A. Osborne). North Holland.
Stuart J. T. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behaviour in plane Poisuille flow. J. Fluid Mech. 9, 353370.Google Scholar
Watson J. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow. J. Fluid Mech. 9, 371389.Google Scholar