Degassing of a Nonlinearly Viscous Liquid Flowing over the Heated Surface of a Tapered Rotor

摘要

The flow of a nonlinearly viscous power-law liquid over the heated inner surface of a tapered rotor is considered. The form of a solution is found that enables one to reduce the complete partial differential equations of rheodynamics and convective heat transfer to a set of ordinary differential equations. The set is integrated numerically by the Runge-Kutta method using a procedure of reduction to a Cauchy problem by Newton's method. The velocity, temperature, and pressure fields in the liquid film are determined. Two steps of degassing are considered, namely, the rise of a gas bubble to the film surface and the penetration of the gas bubble through the interface. An expression is obtained that allows one to calculate the operating parameters of the tapered rotor at which a given quality of degassing is ensured.