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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v23.i3-4.20
pages 195-206

Convective Stability and Spectrum of Perturbations of the Thermal Boundary Layer in Water

S. Ye. Bruyatskaya
Fluid Mechanics Institute of the Ukrainian Academy of Sciences, Kiev, Ukraine

ABSTRAKT

The convective stability of a horizontal, depthwise semi-infinite layer of liquid, with internal heat sources is investigated for the steady state, when the temperature distribution in the liquid is a function only of the vertical coordinate. The problem of stability is reduced to an eigenvalue problem for complex amplitudes of the perturbations, which is solved by the Bubnov-Galerkin method, combined with the method of collocations. The spectrum of decrements of small normal velocity and temperature perturbations is obtained, destabilization conditions are investigated. The dependence of critical Rayleigh and wave numbers on the governing parameters of the problem, associated with the strength of internal heat sources and the rate of evaporation from the free surface are obtained. The eigen-functions of the problem are determined.


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