Numerical solution of single and multi-phase internal transonic flow problems

Abstract

SUMMARYThis paper presents numerical methods for solving turbulent and two-phase transonic ow problems. The Navier-Stokes equations are solved using cell-vertex Lax-Wendro method with artiÿcial dissipation or cell-centred upwind method with Roe's Riemann solver and linear reconstruction. Due to a big di erence of time scales in two-phase ow of condensing steam a fractional step method is used. Test cases including 2D condensing ow in a nozzle and one-phase transonic ow in a turbine cascade with transition to turbulence are presented.

A study of the throughflow of nucleating steam in a turbine stage by a time-marching method

“…Many steam tunnels suitable for the purpose are available and some investigations of nucleating two-dimensional supersonic flows have been reported. [21][22][23][24][25][26][27] The investigations by Young and Walters 27 have been carried out on the tunnel originally described by Moore et al 28 In addition, a limited investigation of nucleating flow of steam in a twodimensional cascade carried out by Decuyper has been analysed by Snoeck. 29 As indicated the investigations of blade-to-blade two-phase flows of steam and their treatments are reviewed by Mashmoushy et al 8 and Bakhtar et al 9 and provide ample evidence that the performance of the blades differs under nucleating, wet and superheated conditions and that blade-toblade flows can be treated satisfactorily by the time marching technique.…”

Flux schemes based finite volume method for internal transonic flow with condensation

“…The modification of this model is employed here. Numerical results of two-phase flow have been already achieved by the fractional step method with the Lax-Wendroff finite volume method for convection and the twostage Runge-Kutta method for condensation part, for details see [2][3][4]. Examples of numerical solution for different configurations (2D nozzle, 2D and 3D cascade and turbine stage) can be found, e.g.…”