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The stability of a thermally radiating stratified shear layer

  • Joseph J. Dudis (a1)

Abstract

A linear stability analysis is applied to a stratified, thermally radiating, un-bounded shear layer. Temperature disturbances are assumed to be optically thin. Both viscous and inviscid neutral stability boundaries are determined numerically for hyperbolic-tangent mean velocity and potential-temperature profiles. For these profiles, long-wavelength disturbances are completely destabilized (the critical Richardson number Ric → ∞ as the wavenumber k → 0) in the inviscid limit. A similar situation is found for the case of discontinuous step-function profiles. However, in contrast to the non-radiating problem, the functional form of the neutral stability boundary is not the same for both the continuous and discontinuous profiles in the limit k → 0. Application of the viscous results to the atmospheres of the earth and Venus yield critical Richardson numbers in excess of ¼.

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Betchov, R. & Szewczyk, A. 1963 Phys. Pluids, 6, 1391.
Brutsaert, W. 1962 Boundary-Layer Met. 2, 309.
Christophorides, C. & Davis, S. H. 1970 Phys. Fluids, 13, 222.
Donahue, T. M. 1971 J. Atmos. Sci. 28, 895.
Drazin, P. G. 1961 J. Fhid Mech. 10, 571.
Drazin, P. G. & Howard, L. N. 1966 Adv. in A w l. Mech. 9, 189.
Gage, K. S. 1972 Phys. Fluids, 15, 526.
Gage, K. S. & Reid, W. H. 1968 J. Fluid Mech. 33, 21.
Gold, T. & Soter, X. 1971 Icarus, 14, 16.
Goody, R. M. 1964 Atmospheric Radiation. Oxford University Press.
Ingersoll, A. P. & Leovy, C. B. 1971 An%. Rev. Astro. Astmphys. 9, 147.
Lewis, R. S. 1971 Am. Scientist, 59, 557.
Maslowe, S. A. 1972 Studies in Appl. Math. 51, 1.
Maslowe, S. A. & Kelly, R. E. 1971 J. Fluid Mech. 48, 405.
Maslowe, S. A. & Thompson, J. M. 1971 Phys. Fluids, 14, 453.
Miller, J. R. & Gage, K. S. 1972 Phys. Fluids, 15, 723.
Spiegel, E. A. & Veronis, G. 1960 Astrophys. J. 131, 442.
Townsend, A. A. 1958 J. Fluid Mech. 4, 361.
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The stability of a thermally radiating stratified shear layer

  • Joseph J. Dudis (a1)

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