THERMAL EFFECTS IN CRYOGENIC LIQUID ANNULAR SEALS .2. NUMERICAL-SOLUTION AND RESULTS

A numerical thermohydrodynamic model for solution of the nonlinear dif ferential equations describing the turbulent flow of a single-phase, c ryogenic liquid annular seal is presented. A perturbation method is us ed for calculation of the zeroth and first-order flow solutions to det ermine the seal steady-state response and dynamic force coefficients. Numerical predictions for a high speed liquid oxygen seal with a rough ened stator surface show that, relative to an isothermal-barotropic fl uid model, the adiabatic THD solution presents a significant temperatu re-rise with a profound effect on the liquid material properties and s eal performance characteristics. The calculations show the onset of tw o-phase flow conditions at moderate eccentricities despite the large p ressure differential across the seal. Comparisons of the static perfor mance characteristics for the reference seal show excellent agreement between the approximate analytical solution developed in Part I and th e full numerical results.