Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (1)
- Authors
- Andreev, Victor K.; Uporova, Alyona I.
- Contact information
- Andreev, Viktor K.: Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation; Siberian Federal University Krasnoyarsk, Russian Federation; ; Uporova, Alyona I.: Federal Research Center Krasnoyarsk Scientific Center SB RAS Krasnoyarsk, Russian Federation;
- Keywords
- initial boundary value problem; a priori estimate; Fourier series; convection
- Abstract
The initial-boundary value problem arising in a modeling an unsteady unidirectional convec- tive flow in vertical heat exchangers with an arbitrary cross section is researched. An a priori estimate in L2 is obtained and uniqueness of the problem solution is proved. For a rectangular and circular sections solution was found in the form of double Fourier series. Sufficient conditions for stabilization of solution to rest with increasing time are given
- Pages
- 5–16
- EDN
- EOQJOO
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149762
Journal of Siberian Federal University. Mathematics & Physics / Initial Boundary Value Problem on the Motion of a Viscous Heat-Conducting Liquid in a Vertical Pipe
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