GAS-DYNAMIC PROCESSES IN A ROTATING CYLINDER IN THE PRESENCE OF AXIAL TEMPERATURE GRADIENTS

A three-dimensional fl ow of a viscous heat-conducting gas in a rapidly rotating straight circular cylinder in the presence of axial temperature gradients is studied. At the initial stage, gas-dynamic and thermal boundary layers on a rotating extended disk are considered. When taking into account the temperature change in density, the Dorodnitsyn transformation is used, which makes it possible to reduce the solution of the problem to the integration of a system of ordinary diff erential equations. Taking into account inertial eff ects, an approximate analytical solution of the problem is obtained in the case of small values of the Prandtl number, when the thermal boundary layer thickness exceeds the thickness of the hydrodynamic layer. The result of the calculation for an extended disk is used to estimate the intensity of the axial circulation fl ow in a rotating cylinder of fi nite dimensions. The infl uence of the intensity of temperature perturbation on the radial profi le of circulation in a rotor is studied
   
Author:  V. D. Borisevicha, E. P. Potanin
Keywords:  rotating cylinder, viscosity, thermal conductivity, circulation fl ow, temperature gradient
Page:  754