Research on Deterministic Stress Coupling in Multi-Stage Transonic Compressor

Three-dimensional unsteady solvers have been developed based on three-dimensional Denton steady solver to conduct study of deterministic stress coupling effect. Researches on deterministic stress coupling have been conducted on multi-stages transonic compressor near stall point. Three calculation methods are adopted in addition to the steady and unsteady calculation, that is, COU2, which means solution of deterministic stress coupling equation under multistage circumstance, ST1, which means solution of steady equation in S2 calculation field using time-accurate solution as inlet boundary condition, COU1, which means solution of deterministic stress coupling equation based on ST1. The radial curves of total pressure and Ma number in a three-dimensional compressor case show that the error level of COU1 is 53% and 34% of ST1 respectively. It is verified that the coupling of the deterministic stress can make the calculation result more close to the unsteady calculation. The comparison shows ST1 calculation accuracy is higher than that of COU2, and the error level is reduced to 37% and 32% respectively. It shows in this simulation case, the exact boundary condition is more than the exact determination stress. In unsteady result, pressure side showed higher entropy value than suction side, this reflects migration effect to the pressure surface of rotor wake during its unsteady sweeping. And the coupling result is better to capture the phenomenon.