Blundell Thermal Physics · Problem 32.5

Shock waves

Physics — Statistical Mechanics · entropy-increase-strong-shock-limit

Problem

Show that in the limit as the Mach number of a shock becomes large, the increase in entropy from the upstream material flowing into the shock to the downstream material flowing away from it is given by ΔS=CVln⁡[2γM12γ+1](γ−1γ+1)γ.(32.33)\Delta S = C_V \ln \left[\frac{2\gamma M_1^2}{\gamma + 1}\right] \left(\frac{\gamma - 1}{\gamma + 1}\right)^\gamma. \tag{32.33}

Related theory

Browse the problem library