Description of heat transfer through a cylindrical liquid–vapor interface surface

Abstract

Linear and nonlinear relations, which make it possible to determine the rate of heat flux in the mode of film boiling on a cylindrical heating surface, have been obtained by transforming the system of moment conservation equations derived from the Boltzmann kinetic equation based on the four-term approximation in the form of a two-sided Maxwellian. For this problem and the interaction potential of Maxwell molecules, the Boltzmann kinetic equation is solved by the moment method in elaboration of the approach of L. Lees and C.-Y. Liu to the description of thermal conductivity through a gas-filled cylindrical gap between two impermeable interfaces. The obtained analytical expressions for the heat flux can be used at any values of the Knudsen number determined from the cylindrical heater radius.