Stability properties of and scaling laws for a dry radiative-convective atmosphere

Quarterly Journal of the Royal Meteorological Society

Volumn 126, Issue 562, 2000, Pages 145-171

  Larson, Vincent E ^a  

^a Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Linear stability; Mean field approximation; Radiative rayleigh number; Radiative convective model; Scaling laws; Subcritical instability

Indexed keywords

ATMOSPHERIC DYNAMICS; SCALE EFFECT; STABILITY ANALYSIS;

EID: 0034027050     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.49712656208     Document Type: Article

References (41)

1. Arpaci, V. S. and Gozum, D. 1973 Thermal stability of radiating fluids: The Bénard problem. Phys. Fluids, 16, 581-588
2. Boyd, J. P. 1989 Chebyshev and Fourier Spectral Methods. Springer-Verlag, New York, USA
3. Castaing, B., Gunaratne, G., Heslot, F., Kadanoff, L., Libchaber, A., Thomae, S., Wu, X.-Z., Zaleski, S. and Zanetti, G. 1989 Scaling of hard thermal turbulence in Rayleigh-Bénard convection. J. Fluid Mech., 204, 1-30
4. Chan, S.-K. 1971 Infinite Prandtl Number turbulent convection. Stud. Appl. Math., 50, 13-49
5. Craig, G. C. 1996 Dimensional analysis of a convecting atmosphere in equilibrium with external forcing. Q. J. R. Meteorol. Soc., 122, 1963-1967
6. Davis, S. H. 1969 On the principle of exchange of stabilities. Proc. R. Soc. London A, 310, 341-358
7. Deardorff, J. W. 1970 Convective velocity and temperature scales for the unstable planetary boundary layer and for Rayleigh convection. J. Atmos. Sci., 21, 1211-1213
8. Drazin, P. G. and Reid, W. H. 1981 Hydrodynamic stability. Cambridge University Press, New York, USA
9. Eady, E. T. 1949 Long waves and cyclone waves. Tellus, 1(3), 33-52
10. Emanuel, K. A. 1994 Atmospheric Convection, Oxford University Press, New York, USA
11. Emanuel, K. A. and Bister, M. 1996 Moist convective velocity and buoyancy scales. J. Atmos. Sci., 53, 3276-3285
12. Goody, R. M. 1956 The influence of radiative transfer on cellular convection. J. Fluid Mech., 1, 424-435
13. 1995 Principles of atmospheric physics and chemistry. Oxford University Press, New York, USA
14. Herring, J. R. 1963 Investigation of problems in thermal convection. J. Atmos. Sci., 20, 325-338
15. 1964 Investigation of problems in thermal convection: Rigid boundaries. J. Atmos. Sci., 21, 277-290
16. Howard, L. N. 1963 Heat transport by turbulent convection. J. Fluid Mech., 17, 405-432
17. 1964 'Convection at high Rayleigh number.' Pp. 1109-1115 in Proc. Eleventh Int. Congress Applied Mechanics, Munich. Springer-Verlag, Berlin, Germany
18. Joseph, D. D. 1965 Nonlinear stability of the Boussinesq equations by the method of energy. Arch. Ration. Mech. Anal., 22, 163-184
19. Kraichnan, R. H. 1962 Turbulent thermal convection at arbitrary Prandtl number. Phys. Fluids, 5, 1374-1389
20. Larson, V. E. 1999a The effects of thermal radiation on dry convective instability. Submitted to Dyn. Atmos. Oceans
21. 1999b The effects of thermal radiation on dry convection. PhD dissertation. Massachusetts Institute of Technology
22. Malkus, W. V. R. 1954 The heat transport and spectrum of thermal turbulence. Proc. R. Soc. London A, 225, 196-212
23. Manabe, S. and Strickler, R. F. 1964 Thermal equilibrium of the atmosphere with a convective adjustment. J. Atmos. Sci., 21, 361-385
24. Murgai, M. P. and Khosla, P. K. 1962 A study of the combined effect of thermal radiative transfer and a magnetic field on the gravitational convection of an ionized fluid. J. Fluid Mech., 14, 433-451
25. Musman, S. 1968 Penetrative convection. J. Fluid Mech., 31, 343-360
26. Pellew, A. and Southwell, R. V. 1940 On maintained convective motion in a fluid heated from below. Proc. R. Soc. London A, 176, 312-343
27. Pierrehumbert, R. T. 1995 Thermostats, radiator fins, and the local runaway greenhouse. J. Atmos. Sci., 52, 1784-1806
28. Prandtl, L. 1932 Meteorologische Anwendung der Strömungslehre. Beitr. Phys. freien Atmosphäre, 19, 188-202
29. Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. 1992 Numerical recipes in C: The art of scientific computing. 2nd ed. Cambridge University Press, New York, USA
30. Priestley, C. H. B. 1959 Turbulent transfer in the lower atmosphere. The University of Chicago Press, Chicago, USA
31. Rennó, N. O. and Ingersoll, A. P. 1996 Natural convection as a heat engine: a theory for CAPE. J. Atmos. Sci., 53, 572-585
32. Siggia, E. D. 1994 High Rayleigh number convection. Annu. Rev. Fluid Mech., 26, 137-168
33. Spiegel, E. A. 1960 The convective instability of a radiating fluid layer. Astrophys. J., 132, 716-728
34. 1962 On the Malkus theory of turbulence. Mécanique de la Turbulence, Centre National de la Recherche Scientifique, Paris, France, 181-201
35. 1971 Convection in stars I. Basic Boussinesq convection. Annu. Rev. Astron. Astrophys., 9, 323-352
36. Spiegel, E. A. and Veronis, G. 1960 On the Boussinesq approximation for a compressible fluid. Astrophys. J., 131, 442-447
37. Straughan, B. 1992 The energy method, stability, and nonlinear convection. Springer-Verlag, New York, USA
38. Stull, R. B. 1988 An introduction to boundary layer meteorology. Kluwer Academic Publishers, Dordrecht, the Netherlands
39. Sun, W.-Y. 1976 Linear stability of penetrative convection. J. Atmos. Sci., 33, 1911-1920
40. Tritton, D. J. 1988 Physical fluid dynamics. 2nd ed. Oxford University Press, New York, USA
41. Whitehead, J. A. and Chen, M. M. 1970 Thermal instability and convection of a thin fluid layer bounded by a stably stratified region. J. Fluid Mech., 40, 549-576