34
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Rotating deep annulus convection. Part 2. Wave instabilities, vertical stratification, and associated theories

Pages 275-287 | Received 28 Jan 1969, Accepted 18 Jul 1969, Published online: 15 Dec 2016

Reference

  • Barcilon, V. 1964. Role of Ekman layers in the stability of the symmetrical regime obtained in a rotating annulus. J. Atmos. Sci. 21, 291–299.
  • Brindley, J. 1960. Stability of the flow in a rotating viscous incompressible fluid subject to differential heating. Phil. Trans. Roy. Soc. London (A) 253, 1–25.
  • Charney, J. 1947. The dynamics of long waves in a baroclinic westerly current. J. Meteor. 4, 135–162.
  • Davies, T. V. 1956. The forced flow due to heating of a rotating liquid. Phil. Trans. Roy. Soc. London (A) 249, 27–64.
  • Davies, T. V. 1959. On the forced motion due to heating of a deep rotating liquid in an annulus. J. Fluid Mech. 5,593–621.
  • Eady, E. T. 1949. Long waves and cyclone waves. TelJim. 1, 33–52.
  • Fowlis, W. 1964. An experimental study of the transitions between the flow regimes of thermal convection in a rotating annulus of liquid. Ph.D. dissertation, The Massachusetts Institute of Technology, 188 pp.
  • Fowlis, W. & Hide, R. 1965. Thermal convection in a rotating annulus of liquid: effect of viscosity on the transition between axisymmetric and nonaxi-symmetric flow regimes. J. Atmos. Sci. 22, 541–558.
  • Fultz, D., Long, R., Owens, G., Bohan, W., Kaylor, R. & Weil, J. 1959. Studies of thermal convection in a rotating cylinder with some implications for large-scale atmospheric motions. Meteor. Monogr. 4, no. 21,104 pp.
  • Fultz, D., Kaiser, J., Fain, M., Kaylor, R. & Weil, J. 1964. Experimental investigations of the spec-trum of thermal convective motions in a rotating annulus. In Final Report, Research on Hydro-dynamic Analogues of Large-Scale Meteorological Phenomena, AFCRL-64-382, Contract AF 19 (604) -8361, April, U.S. Air Force Cambridge Research Laboratories, Office of Aerospace Research, U.S. Air Force, Bedford, Mass.
  • Hide, R. 1958. An experimental study of thermal convection in a rotating liquid. Phil. Trans. Roy. Soc. London (A) 250, 441–478.
  • Kaiser, J. 1969. Rotating deep annulus convection. Part 1. Thermal properties of the upper symme-tric regime. Tellug 21, 789–805.
  • Kuo, H. L. 1956. Energy releasing processes and stability of thermally driven motions in a rotating fluid. J. Meteor. 13, 82–101.
  • Lambert, R. B. & Snyder, H. A. 1966. Experiments on the effect of horizontal shear and change of aspect ratio on convective flow in a rotating annulus. J. Geophys. Res. 71, 5225–5234.
  • Lorenz, E. 1956. A proposed explanation for the existence of two regimes of flow in a rotating symmetrically heated cylindrical vessel. Fluid Models in Geophysics. Proc. let Sympos. on the Use of Models in Geophysical Fluid Dynamics (Baltimore, Md., Sept. 1953), pp. 73–80.
  • Lorenz, E. 1962. Simplified dynamic equations ap-plied to the rotating basin experiments. J. Atmos. Sci. 19, 39–51,
  • Weil, J., Murty, T. & Rao, D. B. 1967. Zeros of J50.)17,(0)-4(17).)Yn()). Math. of Comput. 21, 722–727.