Evolution of weak shock wave in two-dimensional steady supersonic flow in dusty gas

Interaction of waves in one-dimensional dusty gas flow

“…Now we conclude that if σ 0 i (0) ≠ 0 then shock forms immediately right from the origin [11,15]. The approximation between τ i and t is provided as…”

“…Vishwakarma et al [12][13][14] have discussed the propagation of shock wave in dusty gas with varying density. Chaturvedi et al [15][16][17][18] have discussed the evolution of weak shock wave in two-dimensional, steady supersonic flow in dusty gas. Sharma et al [19] have used the scheme of multiple time scales to study the wave interaction in a nonequilibrium gas flow.…”

Simulation of supersonic gas–particle flows expanding from the nozzle into rarefied atmosphere

“…The presence of condensed particles in the combustion products leads to the formation of a two-phase flow, which develops under conditions of transition from the continuum flow regime to the rarefied flow regime [4,5]. Particles of the condensed phase not only affect the functioning of space technology, being deposited, for example, on the elements of optical systems, but are also long-lived formations, creating a special form of pollution of the space environment [6][7][8].…”

Singularities in one-dimensional Euler flows

“…Such effects have always been paid a great deal of attention both because of their mathematical beauty [3,4,5] and practical applications [6]. The tendency of studying such phenomena is remaining nowadays as well, see, for example [7], where the case of Chaplygin gases is considered, [8,9], where the authors discuss weak shock waves, which is actually the case considered in the present paper, and also it is worth mentioning [10,11], where the influence of turbulence on detonations is investigated. The properties of global solvability for Euler equations and singularities of their solutions were also studied in a series of works [12,13,14,15].…”