Theory and analysis method based on vorticity dynamics for gas turbine compressor

Vorticity dynamics theory and analysis method for compressor of gas turbine was described, and the mathematical and physical relations of total performance parameters and two important vorticity parameters was constructed based on vortictity dynamics theory. The analysis and optimization method based on boundary vorticity flux(BVF) and circumferential vorticity(CV) was researched. The multi-stage axial compressor of gas turbine was designed firstly and then analyzed using this theory and method, and the improving way for the designed compressor was found. It is demonstrated that CV can probe the high loss region near solid boundary, and the loss will be controlled if CV peaks can be restricted in the region near solid boundary. The swirl distribution can be optimized to control CV distribution, and in the optimization of the transonic compressor rotor based on CV the peak efficiency is improved by 1.13%. On the other hand, it is shown that BVF can reflect the vorticity source on solid boundary, and the vorticity and flow separation are suppressed through controlling BVF, and the rotor peak efficiency can be increased by 1.12% in the optimization based on BVF.