S弯管中可压三元紊流控制方程和数值计算

 本文通过对瞬态N-S方程的质量加权平均处理,对不可压缩流的k-ε两方程紊流模型做了可压缩性的修正。用有限差分法进行了数值计算。计算结果与实验数据吻合很好,这预示着数值方法可能会发展成为研究S弯管中高亚音速三元流动的一种手段。

GOVERNING EQUATIONS AND NUMERICAL ANALYSIS OF COMPRESSIBLE TURBULENT FLOW IN AN S-DUCT

The partially-parabolic governing equations of the three-dimensional compressible turbulent flow in an S-shaped duct with rectangular section are derived from the generalized form of the Navier-Stokes equations in mass-everaged variables assuming the flow to be predominant along the longtitudinal direction. The k-e turbulence model modified in the study can deal with the compressible flow situation in the S-duct. The momentum, energy and turbulence model equations are solved by finite-difference method. The analytical results of the static pressure distributions along the walls, total pressure recovery and three-dimensional velocity at outlet of the duct are in fairly good agreement with the experimental data. This fact implies that the numerical approach can be developed to solve the three dimensional compressible turbulent flow in a complicated S-ducts,