A thermal convection in the horizontal layer with non-uniform heat supply

Abstract A thermal convection of viscous fluid in horizontal layer under gravity is considered. The fluid under the stress-free and fixed boundary conditions is heated from above non-uniformly. An existence theorem of stationary solutions is proved and several flow patterns are shown by numerical computations.

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Publication Details

Journal
Japan Journal of Industrial and Applied Mathematics
Published
2025-10-20
DOI
https://doi.org/10.1007/s13160-025-00728-z
Primary Topic
Geophysics and Gravity Measurements
Type
article
Field-Weighted Citation Impact
0.00

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article

A thermal convection in the horizontal layer with non-uniform heat supply

Hiroshi Fujiwara, Yoshiyuki Kagei, Takaaki Nishida
Japan Journal of Industrial and Applied Mathematics
Geophysics and Gravity Measurements
article

A thermal convection in the horizontal layer with non-uniform heat supply

Hiroshi Fujiwara, Yoshiyuki Kagei, Takaaki Nishida
article en

Abstract

Abstract A thermal convection of viscous fluid in horizontal layer under gravity is considered. The fluid under the stress-free and fixed boundary conditions is heated from above non-uniformly. An existence theorem of stationary solutions is proved and several flow patterns are shown by numerical computations.

Japan Journal of Industrial and Applied MathematicsVol. 42(4)
Tokyo Institute of Technology (JP), Kyoto University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 70%
Geophysics and Gravity Measurements
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