Development of secondary flow in a curved rectangular duct

Abstract

Development of secondary flow in curved rectangular regular section duct using an improved finite difference scheme for solving parabolized Navier-Stokes equations is presented. This scheme has its origin in the work of Briley, which is based on ADI method to march the solution in the streamwise direction. With some modifications, it is shown in the present work that the stability of this scheme is greatly enhanced. Its applicability is considerably increased. To demonstrate the strength of the improved scheme, it is used to predict the flows in both mildly and strongly curved ducts for moderate to high Dean number. Predictions obtained with the improved scheme show good agreement with the available experimental and computational data