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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 205, Pages 10–15
DOI: https://doi.org/10.36535/0233-6723-2022-205-10-15
(Mi into954)
 

On nonstationary and nonlinear heating of a spherical body rotating in a viscous fluid with a constant angular speed

S. O. Gladkov

Moscow Aviation Institute, USSR
References:
Abstract: In this paper, we shown a stationary rotation of a ball in a viscous liquid with a constant angular speed, an increase in the temperature of the body surface at the boundary is accompanied by a nonstationary heat conduction process, which leads to a spontaneous increase in temperature. We prove that this process of temperature increase is nonlinear and has a limiting point of growth on the temperature scale.
Keywords: dynamic viscosity, temperature, stationary rotation, boundary of the contact.
Document Type: Article
UDC: 532.5.01
MSC: 76U05
Language: Russian
Citation: S. O. Gladkov, “On nonstationary and nonlinear heating of a spherical body rotating in a viscous fluid with a constant angular speed”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 205, VINITI, Moscow, 2022, 10–15
Citation in format AMSBIB
\Bibitem{Gla22}
\by S.~O.~Gladkov
\paper On nonstationary and nonlinear heating of a spherical body rotating in a viscous fluid with a constant angular speed
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 205
\pages 10--15
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into954}
\crossref{https://doi.org/10.36535/0233-6723-2022-205-10-15}
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