Numerical Study of Three-Dimensional Laminar and Turbulent Flows with System Rotation

摘要

The spatial marching analysis is given for economical computation of three-dimensional viscous subsonic flows in rotating geometries. The governing equations are based on a small scalar potential approximation for the vector decomposed secondary flow velocity. No approximation is needed for the streamwise pressure gradient term and this allows strong viscous secondary flows, coordinate curvature and system rotation effects to influence these pressure gradients. This approach is applied to three-dimensional laminar and turbulent flows in rotating 90 degree bends and in rotating straight pipes and ducts. The predicted structure of these flows is consistent with experimental observations and measurements. Computer solutions obtained using 500,000 grid points require only about 15 minutes of CRAY-1S run time. This approach appears promising for further development and application to centrifugal impeller and other turbomachinery flows.