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

1997-05-01
Akmandor, LS
Nagashima, T
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.

Citation Formats
L. Akmandor and T. Nagashima, “Newton-Raphson solution of cryogenic homogenous two-phase flow in convergent-divergent nozzles,” TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES, vol. 40, no. 127, pp. 40–58, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64703.