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Research reveals flow dynamics of weak shock wave interactions in extended chaplygin gas, highlighting implications for gas properties.
The research investigates the diffraction and reflection phenomena resulting from the interaction of a weak shock wave with a wedge at an arbitrary angle utilizing a more realistic extended Chaplygin gas model. Asymptotic solutions to the two-dimensional Euler equations have been systematically derived, incorporating boundary conditions that accurately describe the diffraction of a weak shock wave encountering the wedge. The study rigorously accounts for the specific properties of the gas under consideration and evaluates their impact on the overall flow structure. A particular focus is placed on the detailed analysis of the local flow characteristics near a singular point, emphasizing the critical influence of the gas's unique behavior on the resulting flow dynamics. Moreover, a comparison is made between the polytropic gas and extended Chaplygin gas effects on the overall flow structure.
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Upadhyay et al. (2025) studied this question.
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