Abstract: | The stability of convective motion of a liquid between two rotating heated cylinders is investigated in the absence of external
forces. The mathematical model for describing the convection is obtained from the general equations 1, 2] on the assumption
that the density of the liquid, the thermal conductivity, the specific heat and the viscosity coefficients depend only on
temperature, and that the work done by the pressure forces and the viscous dissipation are negligibly small. The thermal expansion
coefficient of the liquid is not assumed to be small, which distinguishes the models in question from the classical Oberbeck-Boussinesq
model 1, 3, 4].
Rostov-on-Don. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 70–76, September–October,
1988. |