In order to analyze the flow and heat transfer coupling rules of oil-gas two-phase fluid in clearance of single screw compressor, the fuzzy curvelet finite element model is constructed based on fuzzy theory, curvelet transform and finite element method. Firstly, flow and heat transfer coupling model of oil-gas two-phase fluid in clearance of single screw compressor is constructed according to the real characteristics of single screw compressor, and then the flow and heat transfer simulation of oil-gas two-phase fluid in clearance of single screw compressor is carried out based on fuzzy curvelet finite element method, fuzzy B-spline finite element method and traditional finite element, and results show that the proposed fuzzy curvelet finite element method can improve the computing effectiveness of flow and heat transfer of oil-gas two-phase flow in clearance of single screw compressor. The changing rules of maximum gas phase volume fraction are obtained, and the effect of inlet end face angle on outlet temperature of oil gas two phase fluid is obtained. In addition the influence of various turbulent models on the computing precision has been carried out.

为了分析单螺杆压缩机间隙中油气两相流体的流动和传热耦合规律，基于模糊理论，Curvelet变换和有限元方法，建立了模糊Curvelet有限元模型。首先，根据单螺杆压缩机的实际特点，建立了单螺杆压缩机间隙中油气两相流体的传热耦合模型，然后对油气两相流体进行了传热模拟。基于模糊曲线小波有限元法，模糊B样条有限元法和传统有限元法对单螺杆压缩机的游隙进行了研究。结果表明，所提出的模糊曲波有限元方法可以提高单螺杆压缩机间隙中油气两相流的流动和传热的计算效率。得到了气相最大体积分数的变化规律，得到了进气端面角对油气两相流体出口温度的影响。另外，已经进行了各种湍流模型对计算精度的影响。