Thermal Effects in Cryogenic Liquid Annular Seals—Part I: Theory and Approximate Solution Academic Article uri icon


  • A thermohydrodynamic (THD) analysis is introduced forcalculation of the performance characteristics of cryogenic liquid annular seals in the turbulent flow regime. A full-inertial bulk-flow model is advanced for momentum conservation and energy transport. The liquid material properties depend onthe local absolute pressure and temperature. Heat flow to the rotorand stator is modeled by bulkflow heat transfer coefficients. An approximate analytical solution is obtained to the governing equations when the seal operates at a steady-state and concentric condition. The temperature-rise in the fluid film of a cryogenic liquid seal is found to be composed of four sources due to viscous dissipation, pressure extrusion work, surface heat transfer and kinetic energy variation. For incompressible adiabatic flows, the fluid temperature rises linearly along theaxial direction. The approximate analytical solution providesauseful tool for preliminary design and a better understanding of seal performance. Full numerical predictions of load, leakage, temperature, and rotordynamic coefficients for a high speed liquid oxygen seal are given in Part II to show the importance of thermal effects on seal performance. The accuracy of theapproximate concentric seal analysis is then demonstrated by comparison to the results from the full numerical solution. © 1993 ASME.

author list (cited authors)

  • Yang, Z., San Andres, L., & Childs, D. W.

citation count

  • 29

publication date

  • April 1993