Abstract

Thermal and hydrodynamic behavior of steady, annular two-phase flows, typified by filmwise condensation in circular tubes, are examined. Conservation equations of mass, axial momentum, and energy are derived for the liquid and vapor phases, as well as mass and energy balances for the interface between the phases. The model remains valid for either a laminar or a turbulent vapor core, the liquid film being laminar, but contains more unknowns than the available equations. Closure is obtained by first selecting dependent variables for which boundary conditions are known at the tube inlet or exit, assuming radial profiles of velocity and temperature in each phase, requiring the assumed profiles to satisfy the definitions of the dependent variables and appropriate radial boundary conditions, and finally evaluating the remaining unknowns by using the velocity and the temperature profiles. Computed values of the heat transfer coefficient obtained for the turbulent vapor core/laminar liquid film case are shown to provide good agreement with experimental results.

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