“…where u a is the amplitude of the dynamic velocity, ωthe angular frequency, p athe amplitude of the dynamic pressure, athe sound speed, and ρ mthe mean density. The governing equations are given: (5) where r and x represent the radial and axial direction in the cylindrical co-ordinate, respectively, E and h are internal energy and enthalpy, respectively, ρ f , v, p, T, τ, and k are density, velocity, pressure, temperature, stress tensor, and thermal-conductivity coefficient, respectively. Working gas is helium, assumed to be an ideal gas.…”