Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 7 1 2017 03 21 Numerical and analytical investigation of shock train in a convergent divergent nozzle Numerical and analytical investigation of shock train in a convergent divergent nozzle 101 112 949 10.22044/jsfm.2017.949 FA R. Kamali ُSeyed M. Mousavi Journal Article 2016 04 20 In the present work, the shock train structure in a convergent-divergent nozzle investigated using large eddy simulation (LES) methodology based on different subgrid models, including Smagorinsky-Lilly (SL), Wall-Adapting Local Eddy-Viscosity (WALE) and Algebraic Wall-Modeled LES (WMLES) as well as various analytical equations. For gaining a distinct illustration of shock-wave structures, shadowgraph contours are applied to analyze structures of fine flow. The simulated results are obtained at the same geometrical and boundary conditions used in the available experimental data to provide a rational validation. The results of different subgrid models are shown that the WMLES produces more accurate results than SL and WALE models. Thereupon, an investigation of the influence of convergency length and discontinuity of nozzle wall temperature on physics of flow for controlling the shock behavior is carried out. The results show that the minimum wall pressure as well as the maximum flow Mach number increase as the convergency length rises. In addition, by growth in discontinuous wall temperature, the minimum wall pressure and the maximum flow Mach number reduce. In the present work, the shock train structure in a convergent-divergent nozzle investigated using large eddy simulation (LES) methodology based on different subgrid models, including Smagorinsky-Lilly (SL), Wall-Adapting Local Eddy-Viscosity (WALE) and Algebraic Wall-Modeled LES (WMLES) as well as various analytical equations. For gaining a distinct illustration of shock-wave structures, shadowgraph contours are applied to analyze structures of fine flow. The simulated results are obtained at the same geometrical and boundary conditions used in the available experimental data to provide a rational validation. The results of different subgrid models are shown that the WMLES produces more accurate results than SL and WALE models. Thereupon, an investigation of the influence of convergency length and discontinuity of nozzle wall temperature on physics of flow for controlling the shock behavior is carried out. The results show that the minimum wall pressure as well as the maximum flow Mach number increase as the convergency length rises. In addition, by growth in discontinuous wall temperature, the minimum wall pressure and the maximum flow Mach number reduce. https://jsfm.shahroodut.ac.ir/article_949_a6fbe6fc4e6739b1484f914caa06639f.pdf