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Effects of a radial temperature gradient on the stability of a wide‐gap annulus
Author(s) -
Soundalgekar V. M.,
Takhar H. S.,
Ali M. A.
Publication year - 1990
Publication title -
international journal of energy research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.808
H-Index - 95
eISSN - 1099-114X
pISSN - 0363-907X
DOI - 10.1002/er.4440140603
Subject(s) - annulus (botany) , temperature gradient , taylor number , wavenumber , mechanics , concentric , stability (learning theory) , physics , rayleigh scattering , mathematics , thermodynamics , mathematical analysis , materials science , flow (mathematics) , geometry , optics , meteorology , machine learning , computer science , composite material
A numerical solution of the differential equations governing the stability of the wide‐gap flow between two concentric cylinders is presented, taking into account the presence of a radial temperature gradient between the two cylinders when they are maintained at different temperatures. The critical Taylor number T c and the critical wavenumber a c are shown graphically for different values of η (the ratio of the radii of two cylinders), μ≤O (the ratio of the angular velocities of the two cylinders) and the positive and negative temperature gradient given by a parameter ± N ( =Ra/ T , where Ra =Rayleigh number). The results are discussed in terms of the parameters η, μ and N .