Thermoconvective instability in a bounded vertical cylinder with internal heat generation

The onset of thermal convection of a fluid confined completely in a finite vertical cylinder with internal heat source is examined by using the linear stability analysis. The Galerkin method is applied to solve the perturbation equations. The stability criteria for various aspect ratios are determin...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2000-10, Vol.43 (20), p.3775-3784
Main Authors: Wu, K.F., Brancher, J.P.
Format: Article
Language:English
Subjects:
Aspect ratio
Boundary conditions
Buoyancy-driven instability
Cylinders (shapes)
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Galerkin methods
Hydrodynamic stability
Perturbation techniques
Physics
Stability criteria
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Summary:The onset of thermal convection of a fluid confined completely in a finite vertical cylinder with internal heat source is examined by using the linear stability analysis. The Galerkin method is applied to solve the perturbation equations. The stability criteria for various aspect ratios are determined in terms of the Rayleigh number and a nondimensional parameter relative to the heat source. The effects of the aspect ratio and the sidewall thermal boundary conditions on the stability as well as the structure of the convective roll are investigated. In the limiting cases, the results compare well with the literature.
ISSN:0017-9310
1879-2189
DOI:10.1016/S0017-9310(00)00019-3