- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (1)
- Authors
- Andreev, Victor K.; Uporova, Alyona I.
- Contact information
- Andreev, Victor 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
- convection; spectral problem; eigenfunctions; eigenvalues
- Abstract
Spectral problems for stationary unidirectional convective flows in vertical heat exchangers at various boundary temperature conditions are considered. The constant temperature gradient on the vertical walls is used as a spectral parameter. The heat exchanger cross-section can be of an arbitrary shape. The general properties of the spectral problem solutions are established. Solutions are obtained in an analytical form for rectangular and a circular cross sections. The critical values of temperature gradient at which convective flow arises are found. The corresponding vertical velocity profiles are constructed. The properties of solutions of a new transcendental equation for the spectral values are studied
- Pages
- 88–100
- DOI
- 10.17516/1997-1397-2022-15-1-88-100
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/144945
Journal of Siberian Federal University. Mathematics & Physics / On a Spectral Problem for Convection Equations
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