Some effects of boundary conditions and fluid properties on vacillation in thermally driven rotating flow in an annulus

References

• Douglas , H. A. , Hide , R. and Mason , P. J. 1972 . An investigation of the structure of baroclinic waves using three-level streak photography . Quart. J. Roy. Met. Soc. , 98 : 247 – 263 .
   Web of Science ®Google Scholar
• Douglas , H. A. , Mason and P. J. 1973 . Thermal convection in a large rotating fluid annulus: some effects of varying the aspect ratio . J. Atmos. Sci. , 30 : 1124 – 1134 .
   Web of Science ®Google Scholar
• Drazin , P. G. 1970 . Non-linear baroclinic instability of a continuous zonal flow . Quart. J. Roy. Met. Soc. , 96 : 667 – 676 .
   Web of Science ®Google Scholar
• Eady , E. T. 1949 . Long waves and cyclone waves . Tellus , 1 ( 3 ) : 33 – 52 .
   Google Scholar
• Fein , J. S. 1973 . An experimental study of the effects of the upper boundary condition on the thermal convection in a rotating, differentially heated cylindrical annulus of water . Geophys. Fluid. Dyn. , 5 : 213 – 248 .
   Google Scholar
• Fein , J. S. and Pfeffer , R. L. 1976 . An experimental study of the effects of Prandtl number on thermal convection in a rotating, differentially heated cylindrical annulus of fluid . J. Fluid. Mech. , 75 : 81 – 112 .
   Web of Science ®Google Scholar
• Fowlis , W. W. and Pfeffer , R. L. 1969 . Characteristics of amplitude vacillation in a rotating, differentially heated fluid determined by a multi-probe technique . J. Atmos. Sci. , 26 : 100 – 108 .
   Web of Science ®Google Scholar
• Fultz , D. 1964 . Research on hydrodynamical analogues of large-scale meteorological phenomena , Washington , D.C. : US Dept. of Commerce . AFCRL report 64–382. available through
   Google Scholar
• Hart , J. E. 1979 . Finite amplitude baroclinic instability . Ann. Rev. Fluid Mech. , 11 : 147 – 172 .
   Web of Science ®Google Scholar
• Hide , R. 1969 . “ Some laboratory experiments on free thermal convection in a rotating fluid subject to a horizontal temperature gradient and their relation to the theory of the global atmospheric circulation ” . In The Global Circulation of the Atmosphere , Edited by: Corby , G. A. 196 – 221 . Roy. Met. Soc. .
   Google Scholar
• Hide , R. and Mason , P. J. 1975 . Sloping convection in a rotating fluid . Adv. in Phys. , 24 : 47 – 100 .
   Web of Science ®Google Scholar
• Hide , R. and Mason , P. J. 1978 . On the transition between axisymmetric and non-axisymmetric flow in a rotating liquid annulus subject to a horizontal temperature gradient . Geophys. Astrophys. Fluid. Dyn. , 10 : 121 – 156 .
   Google Scholar
• Hide , R. , Mason , P. J. and Plumb , R. A. 1977 . Thermal convection in a rotating fluid subject to a horizontal temperature gradient: Spatial and temporal characteristics of fully developed baroclinic waves . J. Atmos. Sci. , 34 : 930 – 950 .
   Web of Science ®Google Scholar
• James , I. N. , Jonas , P. R. and Farnell , L. 1981 . A combined laboratory and numerical study of fully developed steady baroclinic waves in a cylindrical annulus . Quart. J. Roy. Met. Soc. , 107 : 51 – 78 .
   Web of Science ®Google Scholar
• Jonas , P. R. 1980 . Laboratory experiments and numerical calculations of baroclinic waves resulting from potential vorticity gradients at low Taylor number . Geophys. Astrophys. Fluid Dyn. , 15 : 297 – 315 .
   Web of Science ®Google Scholar
• Jonas , P. R. and Kent , P. M. 1979 . Velocity measurement by automatic analysis of trace particle motion . J. Phys. E; Sci. Instrum. , 12 : 604 – 609 .
   Google Scholar
• Kaiser , J. A. C. 1970 . Rotating deep annulus convection. II Wave instabilities, vertical stratification and associated theories . Tellus , 22 : 275 – 287 .
   Google Scholar
• Kaiser , J. A. C. 1973 . Rotating deep annulus convection: the high-amplitude wave regime—heat transfer and thermal boundary layers . Geophys. Fluid. Dyn. , 4 : 357 – 380 .
   Google Scholar
• Koschmieder , W. L. 1972 . Convection in a rotating laterally-heated annulus . J. Fluid Mech. , 51 : 637 – 656 .
   Web of Science ®Google Scholar
• Lorenz , E. N. 1962 . Simplified dynamic equations applied to the rotating basin experiments . J. Atmos. Sci. , 19 : 39 – 51 .
   Web of Science ®Google Scholar
• Lorenz , E. N. 1963 . The mechanics of vacillation . J. Atmos. Sci. , 20 : 448 – 464 .
   Web of Science ®Google Scholar
• Mason , P. J. 1972 . Sloping convection in a container with sloping end walls , University of Reading . PhD Thesis
   Google Scholar
• McGuirk , J. P. and Reiter , E. R. 1976 . A vacillation in atmospheric energy parameters . J. Atmos. Sci. , 33 : 2079 – 2093 .
   Web of Science ®Google Scholar
• Pedlosky , J. 1970 . Finite amplitude baroclinic waves . J. Atmos. Sci. , 27 : 15 – 30 .
   Web of Science ®Google Scholar
• Pedlosky , J. 1971 . Finite amplitude baroclinic waves with small dissipation . J. Atmos. Sci. , 28 : 587 – 597 .
   Web of Science ®Google Scholar
• Pedlosky , J. 1972 . Limit cycles and unstable baroclinic waves . J. Atmos. Sci. , 29 : 53 – 63 .
   Web of Science ®Google Scholar
• Pfeffer , R. L. , Buzyna , G. and Fowlis , W. W. 1974 . Synoptic features and energetics of wave-amplitude vacillation in a rotating, differentially-heated fluid . J. Atmos. Sci. , 31 : 622 – 642 .
   Web of Science ®Google Scholar
• Pfeffer , R. L. , Buzyna , G. and Kung , G. 1980 . Time dependent modes of behavior of thermally-driven rotating fluids . J. Atmos. Sci. , 37 : 2129 – 2149 .
   Web of Science ®Google Scholar
• Pfeffer , R. L. and Chiang , Y. 1967 . Two kinds of vacillation in rotating laboratory experiments . Mon. Wea. Rev. , 95 : 75 – 82 .
   Web of Science ®Google Scholar
• Quon , C. 1976 . A mixed spectral and finite difference model to study baroclinic annulus waves . J. Comput. Phys. , 20 : 442 – 479 .
   Web of Science ®Google Scholar
• Rossby , G. G. and Willett , H. C. 1948 . The circulation of the upper troposphere and lower stratosphere . Science , 108 : 643 – 652 .
   PubMed Web of Science ®Google Scholar