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

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.