Abstract
Power series based on the Rankine–Hugoniot equation relate the states upstream and downstream of a shock. The usual forms for such series are limited to very weak shocks, e.g., to a shock Mach number approximately 1.1. Improvement is obtained by restricting the shock series to a form which is exact, for the special case of a perfect gas, with the lowest-order term only. Series in this form show reasonable accuracy for real fluids up to shock Mach numbers of order 1.5.
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