Calculation of Turbulent Flow for an Enclosed Rotating Cone

Abstract

Prediction of the flow in the cavity between a rotating cone and an outer stationary cone with and without throughflow is considered. A momentum-integral method and a finite difference method for solution of the Reynolds-averaged Navier–Stokes equations with a mixing-length model of turbulence are applied. These two methods have previously been validated for flow between corotating and rotor–stator disk systems, but have not been properly tested for conical systems. Both methods have been evaluated by comparing predictions with the experimental measurements of other workers. There is good agreement for cone half-angles greater than or equal to 60 deg but discrepancies are evident for smaller angles. “Taylor-type” vortices, the existence of which has been postulated by other workers and which are not captured by the present steady, axisymmetric models, may contribute to these discrepancies.

Rotating Flow and Heat Transfer in Cylindrical Cavities With Radial Inflow

“…The method and its application to swirling radial inflow between co-rotating plane discs have been reported, for example, by Chew [31], Chew and Snell [5], Chew et al [12], Farthing et al [11], but a brief description is included here for completeness. Further descriptions and extensions of the method to rotating cavities with outflow and rotor-stator cavities are given by Chew and Rogers [32], Chew [31] and May et al [33].…”