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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022 Volume 205, Pages 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

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.

UDC: 532.5.01

MSC: 76U05

DOI: 10.36535/0233-6723-2022-205-10-15



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