Spherical Shock Generated by a Moving Piston in a Nonideal Gas under Gravitation Field with Monochromatic Radiation and Magnetic Field

2020 ◽  
Vol 93 (4) ◽  
pp. 911-923
Author(s):  
G. Nath
Keyword(s):  
Magnetic Field ◽  
Monochromatic Radiation ◽  
Gravitation Field ◽  
Nonideal Gas ◽  
Spherical Shock

Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Swati Chauhan ◽  
Antim Chauhan ◽  
Rajan Arora
Keyword(s):  
Shock Waves ◽  
Mass Fraction ◽  
Strong Shock ◽  
Dust Particles ◽  
Excluded Volume ◽  
One Dimensional ◽  
First Order ◽  
Nonideal Gas ◽  
Spherical Shock ◽  
Strong Shock Waves

Abstract In this work, we consider the system of partial differential equations describing one-dimensional (1D) radially symmetric (i.e., cylindrical or spherical) flow of a nonideal gas with small solid dust particles. We analyze the implosion of cylindrical and spherical symmetric strong shock waves in a mixture of a nonideal gas with small solid dust particles. An evolution equation for the strong cylindrical and spherical shock waves is derived by using the Maslov technique based on the kinematics of 1D motion. The approximate value of the similarity exponent describing the behavior of strong shocks is calculated by applying a first-order truncation approximation. The obtained approximate values of similarity exponent are compared with the values of the similarity exponent obtained from Whitham’s rule and Guderley’s method. All the above computations are performed for the different values of mass fraction of dust particles, relative specific heat, and the ratio of the density of dust particle to the density of the mixture and van der Waals excluded volume.

scholarly journals Propagation of Shock Waves in a Polytrope with a Toroidal Magnetic Field. I. Simplified Solution of Differential Equations

1969 ◽  
Vol 22 (5) ◽  
pp. 589
Author(s):  
NK Sinha
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Approximate Solution ◽  
Partial Differential Equations ◽  
Shock Waves ◽  
Differential Equations ◽  
Toroidal Magnetic Field ◽  
Spherical Shock Wave ◽  
Simplified Solution ◽  
Spherical Shock

The propagation of an initially spherical shock wave in a polytrope with a magnetic field has been studied. The model chosen for the purpose was that of a poly trope with a toroidal magnetic field given previously by Sinha. Butler's method has been extended to transform the set of governing partial differential equations into a set of ordinary differential equations involving derivatives in the direction of propagation of the shock element at any point. An approximate solution is obtained and the effect of the toroidal magnetic field on the geometry of the front as well as on the effects brought about by the shock is discussed.

New Self Similar Solution of Spherical Radiative Gasdynamic Shock Wave With Increasing Density Under The Effect Of Axial And Azimuthal Magnetic Field

2015 ◽  
Vol 4 (2) ◽  
Author(s):  
Ajay Singh Yadav ◽  
Pravin Kumar Srivastava ◽  
Kishor Kumar Srivastava
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Magnetic Fields ◽  
Initial Density ◽  
Radiation Energy ◽  
Azimuthal Magnetic Field ◽  
Self Similar Solution ◽  
Complete Study ◽  
Self Similar ◽  
Spherical Shock

In the present chapter we investigated the self similar flow behind a spherical shock wave propagating in a medium with increasing density, in the presence of magnetic fields. The medium is assumed to be non gravitational due to the heavy nucleus at origin. The medium ahead and behind the shock front are assumed to be inviscid. The initial density of gas is assumed to vary as some power of distance. It is assumed that gas is grey and opaque. The assumption of optically thick grey gas is physically consistant with the neglect of radiation pressure and radiation energy. Total energy of the flow field behind the spherical shock is assumed to be increasing with time, where the gas ahead of the shock is assumed to be at rest. The results of numerical calculations were shown in the form of graphs. A complete study was made for axial and azimuthal magnetic field. Also the effect of variation of initial density behind the shock, shock velocity and respective magnetic fields were investigated.

scholarly journals Spherical shock in the presence of an external magnetic field

2016 ◽  
Vol 688 ◽  
pp. 012056
Author(s):  
Y Kuramitsu ◽  
S Matsukiyo ◽  
S Isayama ◽  
D Harada ◽  
T Oyama ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Spherical Shock
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