The propagation of weak shock waves in non-ideal gas flow with radiation

Gupta, Pradeep Kumar; Chaturvedi, Rahul Kumar; Singh, L. P.

doi:10.1140/epjp/s13360-019-00041-y

Cited by 15 publications

(4 citation statements)

References 25 publications

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“…Using (26) and after some analytical steps, the massbalance equation ( 1) of the compressible Euler system is eventually recast in the following form:…”

Section: Wwwetasrcom Husain Et Al: a Study Of One-dimensional Weak Sh...mentioning

confidence: 99%

“…Authors in [25] reported an approximate analytical solution for propagation of cylindrical shock waves in isothermal flow conditions with azimuthal magnetic field. Authors in [26] initiated the analysis of weak shock propagation in a simplified van der Waals gas influenced by thermal radiation under optically thin limit. Authors in [27] studied the strong explosion problem in perfect gasdynamics with magnetic field effects using power series solution and recovered the result described by [28] in the absence of magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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A Study of One-dimensional Weak Shock Propagation Under the Action of Axial and Azimuthal Magnetic Field: An Analytical Approach

Husain

Haider²,

Singh³

2022

Eng. Technol. Appl. Sci. Res.

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The present paper presents an analytical study of the one-dimensional weak shock wave problem in a perfect gas under the action of a generalized magnetic field subjected to weak shock jump conditions (R-H conditions). The magnetic field is considered axial and azimuthal in cylindrically symmetric configuration. By considering a straightforward analytical approach, an explicit solution exhibiting time-space dependency for gas-dynamical flow parameters and total energy (generated during the propagation of the weak shock from the center of the explosion) has been obtained under the significant influence of generalized magnetic fields (axial and azimuthal) and the results are analyzed graphically. From the outcome, it is worth noticing that for an increasing value of Mach number under the generalized magnetic field, the decay process of physical parameters (density, pressure, and magnetic pressure) is a bit slower, whereas the velocity profile and total energy increase rapidly with respect to time. Moreover, for increasing values of Shock-Cowling number the total energy grows rapidly with respect to time.

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“…Using (26) and after some analytical steps, the massbalance equation ( 1) of the compressible Euler system is eventually recast in the following form:…”

Section: Wwwetasrcom Husain Et Al: a Study Of One-dimensional Weak Sh...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Study of One-dimensional Weak Shock Propagation Under the Action of Axial and Azimuthal Magnetic Field: An Analytical Approach

Husain

Haider²,

Singh³

2022

Eng. Technol. Appl. Sci. Res.

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“…Also, it is noticed that if each of the coupling coefficients Ω i jk (i ≠ j ≠ k) are zero or the integral in Equation (19) becomes zero, then we conclude that the wave do not resonate and Equation (19) detracts to the uncoupled system of Burger's equations. Now from the Equation (20), in the governing system, the coefficients β i and Ω i jk provide the qualitative picture of the nonlinear interaction procedure and it can be demonstrated by the formulas as given in (20).…”

Section: Weakly Nonlinear Resonant Wavesmentioning

confidence: 99%

“…Sharma et al [19] have used the scheme of multiple time scales to study the wave interaction in a nonequilibrium gas flow. Pooja et al [20] and Nath et al [21,22] have used an asymptotic technique to analyze the evolution of weak shock waves in nonideal magnetogasdynamics and nonideal radiating gas flow. Singh et al [23] have theoretically investigated the propagation of shock wave in radiative magnetogasdynamics.…”

Section: Introductionmentioning

confidence: 99%

Interaction of waves in one-dimensional dusty gas flow

Gupta

Chaturvedi

Singh

2020

Zeitschrift Für Naturforschung A

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The present study uses the theory of weakly nonlinear geometrical acoustics to derive the high-frequency small amplitude asymptotic solution of the one-dimensional quasilinear hyperbolic system of partial differential equations characterizing compressible, unsteady flow with generalized geometry in ideal gas flow with dust particles. The method of multiple time scales is applied to derive the transport equations for the amplitude of resonantly interacting high-frequency waves in a dusty gas. These transport equations are used for the qualitative analysis of nonlinear wave interaction process and self-interaction of nonlinear waves which exist in the system under study. Further, the evolutionary behavior of weak shock waves propagating in ideal gas flow with dust particles is examined here. The progressive wave nature of nonresonant waves terminating into the shock wave and its location is also studied. Further, we analyze the effect of the small solid particles on the propagation of shock wave.

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