Table 1 Variation of the density ratio \(\beta \left( =\dfrac{\rho _{a}}{\rho _{n}}\right)\) across the shock front and the position of the piston surface \(\xi _{p}\) for different values of \(M_{A}^{-2}\), \(\gamma\) and \(\dfrac{\sigma }{i}\)

\(M_{A}^{-2}\)

\(\gamma\)

\(\beta\)

Position of the piston surface \(\xi _{p}\)

Isothermal flow

Adiabatic flow

\(\dfrac{\sigma }{i} = 1\)

\(\dfrac{\sigma }{i} = 1.5\)

\(\dfrac{\sigma }{i} = 1\)

\(\dfrac{\sigma }{i} = 1.5\)