The attenuation of shock waves in a nonequilibrium gas

A nonlinear critical layer in nonequilibrium gas

“…The external limit of these solutions at ζ ∞ may be written as (18) Comparison of Eqs. (18) and (17) yields the expression (19) where a W = (C V0 /C V∞ )| y = 0 and b W = (C P0 /C P∞ )| y = 0 . We consider further the limit αcD Ӷ 1 and identify the real and imaginary parts in Eq.…”

“…We consider further the limit αcD Ӷ 1 and identify the real and imaginary parts in Eq. (19). As a result, we derive the expression for phase discontinuity Φ and dispersion relation, (20) (21)…”

“…In this case, the internal degrees of freedom serve as a reservoir of energy and, with certain phase correlations between the energy source and disturbance, the latter may be enhanced [15,16]. This causes the loss of stability of the medium, change of the pattern of evolution of finite disturbances, and macroscopic rearrangement of the systems proper [17][18][19][20][21][22][23][24]. In particular, the stability of the vortex mode was investigated in [20], where the energy assessment was given of the limit of hydrodynamic stability, as well as in [21], where the parametric enhancement of vorticity waves in an acoustically active medium is considered.…”