Abstract

The vapor-liquid, two-phase, inviscid, compressible e ow in a converging-diverging nozzle is computed by high accuracy total-variation-diminishing and Newton‐ Raphson schemes. A homogeneous speed of sound dee nition based on e ow quality and void fraction is presented, along with some gas dynamic relations. Analytical twophase mass-e ow expressions are also derived, and solutions are compared with those obtained from the numerical schemes.Thecomputational resultsofvoid-fraction and Mach-numberrelation obtained fortheLavalnozzlecompare favorably with both schemes. Equilibrium and nonequilibrium numerical results for cryogenic nitrogen e ow are also presented. Numerical mass e ux at both choked and unchoked throat conditions agrees with experimental data, but some discrepancy is observed in the pressure proe les at the diffusing portion of the nozzle.

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