Effect of particle presence on the incompressible inviscid flow through a two dimensional compressor cascade

A computational model for calculating the flow field, in the presence of solid particles, through a two dimensional compressor cascade is presented. The method treats the particle phase in the Lagrangian system and the fluid phase in the Eulerian system. The equations of momentum of the fluid phase are modified to account for the momentum exchange between the two phases. The resulting modified momentum and continuity equations are reduced to the conventional stream function-vorticity formulation.The fluid phase is treated as incompressible and inviscid. Averaging of the particle phase properties, based on the trajectory analysis, over the control volume yields the fluid-particle momentum exchange at every grid point, where the flow field solution is desired. The inelastic rebound of the particles on impact of the airfoil surface is accounted for in the trajectory analysis.The fluid phase stream function-vorticity equations are solved by a novel method. The computation is performed in a transformed plane where one of the transformed coordinates is the streamline itself. The transformed vorticity equation is solved by the space marching technique.The analysis yields the change in the blade surface pressure distribution, the total pressure and velocity distributions. Based on this, it is possible to predict the decrease in compressor performance under the presence of particles.Copyright © 1983 by ASME