旋转坐标系中可压缩湍流的基本方程和湍流模型

THE GOVERNING EQVATIONS AND TURBULENCE MODELS OF COMPRESSIBLE TURBULET FLOW IN A ROTATING FRAME

本文在可压缩湍流瞬时量基本方程的基础上 ,用质量加权平均的概念 ,推导了旋转坐标系中可压湍流流动的连续方程、动量方程和能量方程。进而导出了旋转坐标系中可压湍流的应力输运方程、脉动平均动能方程和湍流耗散率输运方程。这些方程中包括了由旋转引起的 Coriolis力和离心力的作用项。这些方程是在旋转坐标系中研究平均 N- S方程求解湍流流场和研究湍流模型的基础。

The governing of equations compressible turbulent flow in the rotating frame are established by the aid of the mass weighted average method.The transport equations for the turbulent stresses,the turbulent kinetic energy and the dissipation rates are derived from the obtained equations.The from of these equations set up in a rotating frame is different from that in an ordinary inertia reference system.The rotating effects caused by Coriolis and the centrifugal forces result in the appearance of the additional iterms in these equations.They may not be ignored in solving the Navier-Stokes equations and studying the turbulence models.Five turbulent models and their mathematical expressions are considered,and their revised forms taking account of the rotating effects are discussed.