×

Instabilities of longitudinal convection rolls in Couette flow. (English) Zbl 0386.76031


MSC:

76E15 Absolute and convective instability and stability in hydrodynamic stability
76E05 Parallel shear flows in hydrodynamic stability
Full Text: DOI

References:

[1] R. E. Kelly,The Onset and Development of Rayleigh-Bénard Convection in Shear Flows, Proc. Int. Conf. on Physical Chemistry and Hydrodynamics (to be published by Hemisphere Publications Corp.).
[2] D. Avsec,Sur les formes ondulées des tourbillons en bandes longitudinales, Compt. Rend. Acad. Sci.204, 167–169 (1937).
[3] R. M. Clever andF. H. Busse,Instabilities of Longitudinal Convection Rolls in an Inclined Layer, J. Fluid Mech.81, 107–127 (1977). · Zbl 0361.76044 · doi:10.1017/S0022112077001931
[4] J. E. Hart,Transition to a Wavy Vortex Regine in Convective Flow between Inclined Plates, J. Fluid Mech.48, 265–271 (1971). · doi:10.1017/S0022112071001587
[5] D. Coles,Transition in Circular Couette Flow, J. Fluid Mech.21, 385–425 (1965). · Zbl 0134.21705 · doi:10.1017/S0022112065000241
[6] A. Davey, R. C. DiPrima, andJ. T. Stuart,On the Instability of Taylor Vortices, J. Fluid Mech.31, 17–52 (1968). · Zbl 0193.56502 · doi:10.1017/S0022112068000029
[7] R. G. Fleagle,Bomex: An Appraisal of Results, Science176, 1079–1090 (1972). · doi:10.1126/science.176.4039.1079
[8] J. P. Kuettner,Cloud Bands in the Earth’s Atmosphere, Tellus23, 404–425 (1971). · doi:10.1111/j.2153-3490.1971.tb00585.x
[9] R. Krishnamurti,On Cellular Cloud Patterns. Part 3: Applicability of the Mathematical and Laboratory Models, J. Atm. Sci.32, 1373–1383 (1975). · doi:10.1175/1520-0469(1975)032<1373:OCCPPA>2.0.CO;2
[10] R. A. Brown,Analytical Methods in Planetary Boundary-Layer Modelling, Adam Hilger Ltd., London (1974), pp. 94–119.
[11] M. A. LeMone,The Structure and Dynamics of Horizontal Roll Vortices in the Planetary Boundary Layer, J. Atm. Sci.30, 1077–1091 (1973). · doi:10.1175/1520-0469(1973)030<1077:TSADOH>2.0.CO;2
[12] J. S. Malkus andH. Riehl,Cloud Structure and Distribution over the Tropical Pacific Ocean, Univ. California Press, Berkeley and Los Angeles (1964).
[13] H. L. Kuo,Perturbations of Plane Couette Flow in Stratified Fluid and Origin of Cloud Streets, Phys. Fluids6, 195–211 (1963). · Zbl 0111.39201 · doi:10.1063/1.1706719
[14] J. Kuettner,The Band Structure of the Atmosphere, Tellus11, 267–294 (1959). · doi:10.1111/j.2153-3490.1959.tb00033.x
[15] R. Markson,Atmospheric Electrical Detection of Organized Convection, Science188, 1171–1177 (1975). · doi:10.1126/science.188.4194.1171
[16] J. W. Deardorff,Gravitational Instability between Horizontal Plates with Shear, Phys. Fluids8, 1027–1030 (1965). · doi:10.1063/1.1761351
[17] R. M. Clever andF. H. Busse,Transition to Time-Dependent Convection, J. Fluid Mech.65, 625–645 (1974). · Zbl 0291.76019 · doi:10.1017/S0022112074001571
[18] F. B. Lipps,Two-Dimensional Numerical Experiments in Thermal Convection with Vertical Shear, J. Atm. Sci.28, 3–19 (1971). · doi:10.1175/1520-0469(1971)028<0003:TDNEIT>2.0.CO;2
[19] A. P. Gallagher andA. McD. Mercer,On the Behavior of Small Disturbances in Plane Couette Flow, J. Fluid Mech.13, 91–100 (1962). · Zbl 0101.42901 · doi:10.1017/S0022112062000531
[20] A. Davey,On the Stability of Plane Couette Flow to Infinitesimal Disturbances, J. Fluid Mech.57, 369–380 (1973). · Zbl 0255.76047 · doi:10.1017/S0022112073001217
[21] F. M. Richter andB. Parsons,On the Interaction of Two Scales of Convection in the Mantle, J. Geophys. Res.80, 2529–2541 (1975). · doi:10.1029/JB080i017p02529
[22] T. Asai,Three-Dimensional Features of Thermal Convection in a Plane Couette Flow, J. Meteor. Soc. Japan48, 18–29 (1970).
[23] R. Betchov andW. O. Criminale, Jr.,Stability of Parallel Flows Academic Press, New York (1967).
[24] P. M. Eagles,On the Torque of Wavy Vortices, J. Fluid Mech.62, 1–9 (1974). · Zbl 0271.76027 · doi:10.1017/S0022112074000541
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.