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Journal of Engineering Mathematics
Erschienen in:

01.10.2024

Instability of thermal convection in an inclined fluid layer with temperature-dependent internal heat source

verfasst von: Gurpreet Kaur, Akshita Batra, Renu Bajaj

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2024

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Abstract

The onset of instability of thermal convection in an inclined layer of viscous, incompressible fluid having internal heat source is studied using linear stability analysis. The heat source consists of a uniform component as well as a temperature-dependent component. The boundaries of the layer are maintained at different constant temperatures. The thermal Rayleigh number \(R_1\) and the dimensionless parameters \(R_2\) and \(R_3\) determining the strength of the internal heat source are used to establish the onset of instability. The collocation method utilising Chebyshev polynomials is adopted to obtain the critical values of various parameters. The Prandtl number of the fluid and the angle of inclination of the layer are also the key factors in determining the onset of instability.
Vorheriger Artikel Model order reduction for the input–output behavior of a geothermal energy storage
Nächster Artikel Acceleration of a projected gradient algorithm for the Bingham flow problem by rigidity enforcement with penalty

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Metadaten
Titel
Instability of thermal convection in an inclined fluid layer with temperature-dependent internal heat source
verfasst von
Gurpreet Kaur
Akshita Batra
Renu Bajaj
Publikationsdatum
01.10.2024
Verlag
Springer Netherlands
Erschienen in
Journal of Engineering Mathematics / Ausgabe 1/2024
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-024-10388-6

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