According to the suddenly compression of the matters in some regions of the compressible fluids, the density and temperature suddenly increases, and shockwaves can be produced. The cooling of post-shock region and non-idealness of the equation of state, $p=(k_B/mu m_p)rho T (1+brho) equivmathcal{K}rho T (1+eta R)$, where $mu m_p$ is the relative density of the post-shock gas and $Requiv rho_2 /...