We study the formation of the contact thermal resistance between compressed balls. By expressing temperature through the sum of the special boundary function and fast Fourier series, solution is obtained in explicit form. It was found that the series converge rapidly and allow making obtained differentiation to second-order derivative in the area inside the ball.
Fourier series, contact thermal resistance, spherical surfaces, temperature field
При проектировании систем с теплоизоляционными засыпками, подшипниковых узлов, дисперсно-наполненных полимерных композиционных материалов [1…3], требуются данные о контактном термосопротивлении (КТС) между частицами в виде шаров.
1. Dunskiy V.D., Tamarin A.I. O teploprovodnosti zasypki dispersnogo materiala v vakuume. Sb. Teplo - i massoobmen v dispersnykh sistemakh. AN BSSR, Institut teplo - i massoobmena, Minsk. 1965. S. 160 - 166.
2. Kaganer M.G. Kontaktnyy teploobmen v vakuumirovannom zernistom materiale. IFZh. 1966. T. 11. №1. S. 30 - 36.
3. Iovanovich M.M. Termicheskoe soprotivlenie mezhdu kontaktiruyushchimi metallicheskimi paraboloidami v primenenii k podshipnikam priborov. V kn. Teploobmen i teplovoy rezhim kosmicheskikh apparatov. M.: Mir. 1974. S. 259-279.
4. Chernyshov A.D. O primenenii bystrykh razlozheniy dlya resheniya nelineynykh zadach mekhaniki. Sb. trudov mezhdunar. konf. «Aktual´nye problemy prikl. matem., inform. i mekhaniki». Voronezh. 2011. S.412-416.
