Newton-Raphson solution of cryogenic homogenous two-phase flow in convergent-divergent nozzles


Akmandor L., Nagashima T.

TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, vol.40, no.127, pp.40-58, 1997 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 127
  • Publication Date: 1997
  • Title of Journal : TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES
  • Page Numbers: pp.40-58

Abstract

An implicit finite volume algorithm has been written to solve the steady one-dimensional vapor-liquid, two-phase, inviscid, compressible flow. The speed of sound definition based on flow quality and void fraction has been given along with some two-phase gas dynamic relations. Shocks have been captured by the steady Euler solver incorporating an artificial two-phase compressibility expression which has been added at transonic region according to the upwinded density concept. The fully coupled linearized system of equations is solved by a rapid Newton-Raphson solution procedure, Subcooled nitrogen flow through two convergent divergent nozzles has been analyzed. Homogeneous equilibrium and non-equilibrium results have been compared with analytical, experimental and numerical results, as means to validate the present solution.