Hypersonic Limit for Steady Compressible Euler Flows Passing Straight Cones
Qianfeng Li,
Aifang Qu,
Xueying Su and Hairong Yuan
Abstract:We investigate the hypersonic limit for steady, uniform, and compressible polytropic gas passing a symmetric straight cone. By considering Radon measure solutions, we show that as the Mach number of the upstream flow tends to infinity, the measures associated with the weak entropy solution containing an attached shock ahead of the cone converge vaguely to the measures associated with a Radon measure solution to the conical hypersonic-limit flow. This justifies the Newtonian sine-squared pressure law for cones … Show more
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