REYNOLDS STRESSES IN CONFINED VORTEX FLOWS

Abstract

Reynolds stresses in confined vortex flows have been studied analytically and experimentally. Equations for the Reynolds shear stresses are derived based on the kinetic energy equations and experimental observations. The Reynolds shear stresses are obtained by solving the equations analytically. The unknown parameters appearing in the analytical solutions are determined from experimental data. The Reynolds normal stresses are obtained directly from the experiments which are performed by means of Laser Doppler Anemometry (LDA). The effects of the contraction ratio and the inlet Reynolds number on the Reynolds stresses in the vortex flow from the main section to the exit section of the vortex chamber are analyzed. It is found that the contraction ratio affects the behaviour of the Reynolds stresses, and that a higher inlet Reynolds number results in a higher level of the Reynolds stresses.