Geodesic
On nonstationary and nonlinear heating of a spherical body rotating in a viscous fluid with a constant angular speed
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 205 (2022), pp. 10-15

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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. 
@article{INTO_2022_205_a1,
     author = {S. O. Gladkov},
     title = {On nonstationary and nonlinear heating of a spherical body rotating in a viscous fluid with a constant angular speed},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {10--15},
     publisher = {mathdoc},
     volume = {205},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_205_a1/}
}
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S. O. Gladkov. On nonstationary and nonlinear heating of a spherical body rotating in a viscous fluid with a constant angular speed. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 205 (2022), pp. 10-15. http://geodesic.mathdoc.fr/item/INTO_2022_205_a1/