Effects of joule heating on shock train structure, mathematical modeling with modification of k-ω shear stress transport

Abstract

In this study, the two dimensional shock train behavior in a straight isolator was evaluated using a modified k-ω shear stress transport turbulence model. Therefore, this work focused on assessing the constant coefficient (β*) of k-ω shear stress turbulence model to predict the location of the first lambda shock, number of shocks, and changes of principle parameters related to shock train, as well as a comprehensive numerical investigation of a shock train system. In addition, the full multigrid initialization method was applied for the reduction of computational cost. The results revealed that when β* was 0.075, the exact shock structure was detectable. After obtaining the appropriate coefficient for the turbulence model, the effects of Joule heating were investigated on shock train structure, using five electric fields. The obtained results showed that applying Joule heating led to the movement of the first lambda shock, changes in its height, and enhancement of the distance between the primary shocks.