26 RANDHEER PRATAP SINGH 8D (original) (raw)
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Papers by 26 RANDHEER PRATAP SINGH 8D
Lobachevskii Journal of Mathematics, 2013
ABSTRACT In this paper, we consider the evolution and propagation of a characteristic shock throu... more ABSTRACT In this paper, we consider the evolution and propagation of a characteristic shock through a reacting gas and studied its interaction with an acceleration wave. A particular solution to the governing system, which exhibits space-time dependence, has been considered to study the evolutionary behavior of the characteristic shock. The amplitudes of the reflected and transmitted waves and the jump in shock acceleration, influenced by the incident wave amplitude after interaction are evaluated.
Applied Mathematics and Computation, 2013
Interaction of an acceleration wave with a strong shock in reacting polytropic gases 4.1 Introduc... more Interaction of an acceleration wave with a strong shock in reacting polytropic gases 4.1 Introduction This chapter is concerned with the problem of interaction of an acceleration wave with a strong shock wave in reacting gases. The general theory of wave interaction problem has its origin from the works of Jeffrey [35] and Boillat & Ruggeri [36, 40]. Radha, Sharma & Jeffrey [23] have shown that the general theory of wave interaction problem which originated from the work of Jeffrey [35] leads to the results obtained by Brun [42] and Boillat & Ruggeri [36, 40]. In continuum Mechanics, weak discontinuity waves are also known as acceleration waves and is an important kind of solutions of nonlinear hyperbolic systems. These waves are characterized by a discontinuity in a normal derivative of the field but not in the field itself [34]. The problem of the interaction of an acoustic wave with a shock has been studied by Swan & Fowles [37] and Van Moorhen & George [38]. The evolution of a weak discontinuity for a hyperbolic quasi-linear system of equations satisfying the Bernoulli's law has been studied quite extensively in the literatures [39,
Lobachevskii Journal of Mathematics, 2013
ABSTRACT In this paper, we consider the evolution and propagation of a characteristic shock throu... more ABSTRACT In this paper, we consider the evolution and propagation of a characteristic shock through a reacting gas and studied its interaction with an acceleration wave. A particular solution to the governing system, which exhibits space-time dependence, has been considered to study the evolutionary behavior of the characteristic shock. The amplitudes of the reflected and transmitted waves and the jump in shock acceleration, influenced by the incident wave amplitude after interaction are evaluated.
Applied Mathematics and Computation, 2013
Interaction of an acceleration wave with a strong shock in reacting polytropic gases 4.1 Introduc... more Interaction of an acceleration wave with a strong shock in reacting polytropic gases 4.1 Introduction This chapter is concerned with the problem of interaction of an acceleration wave with a strong shock wave in reacting gases. The general theory of wave interaction problem has its origin from the works of Jeffrey [35] and Boillat & Ruggeri [36, 40]. Radha, Sharma & Jeffrey [23] have shown that the general theory of wave interaction problem which originated from the work of Jeffrey [35] leads to the results obtained by Brun [42] and Boillat & Ruggeri [36, 40]. In continuum Mechanics, weak discontinuity waves are also known as acceleration waves and is an important kind of solutions of nonlinear hyperbolic systems. These waves are characterized by a discontinuity in a normal derivative of the field but not in the field itself [34]. The problem of the interaction of an acoustic wave with a shock has been studied by Swan & Fowles [37] and Van Moorhen & George [38]. The evolution of a weak discontinuity for a hyperbolic quasi-linear system of equations satisfying the Bernoulli's law has been studied quite extensively in the literatures [39,