One‐dimensional shock waves in a chemically reacting mixture of elastic materials

1973 ◽  
Vol 58 (3) ◽  
pp. 961-965 ◽  
Author(s):  
Jace W. Nunziato
Keyword(s):  
Shock Waves ◽  
Elastic Materials ◽  
One Dimensional ◽  
Chemically Reacting

The Growth of One-Dimensional Shock Waves in Elastic Nonconductors

1972 ◽  
Vol 45 (4) ◽  
pp. 999-1004
Author(s):  
Peter J. Chen ◽  
Morton E. Gurtin
Keyword(s):  
Differential Equation ◽  
Shock Waves ◽  
Strain Gradient ◽  
Mechanical Theory ◽  
Elastic Materials ◽  
One Dimensional

Abstract In this paper we study the propagation of shock waves in elastic materials that do not conduct heat. We derive a differential equation relating the strain and strain gradient behind the wave when the region ahead is unstrained and at constant entropy. Using this equation we are able to give conditions under which the wave will grow or decay at a given time. Generally, the results are qualitatively the same as in the purely mechanical theory.

scholarly journals Quantitative Experimental and Theoretical Investigations on the Interaction of Shock Waves with Magnetic Fields

1969 ◽  
Vol 24 (10) ◽  
pp. 1449-1457
Author(s):  
H. Klingenberg ◽  
F. Sardei ◽  
W. Zimmermann
Keyword(s):  
Magnetic Fields ◽  
Shock Waves ◽  
Physical Model ◽  
Spectroscopic Method ◽  
Experimental Results ◽  
Dimensional Theory ◽  
One Dimensional ◽  
Theoretical Investigations ◽  
Theoretical Predictions ◽  
Interaction Of Shock Waves

Abstract In continuation of the work on interaction between shock waves and magnetic fields 1,2 the experiments reported here measured the atomic and electron densities in the interaction region by means of an interferometric and a spectroscopic method. The transient atomic density was also calculated using a one-dimensional theory based on the work of Johnson3 , but modified to give an improved physical model. The experimental results were compared with the theoretical predictions.

Propagation of one-dimensional planar and nonplanar shock waves in nonideal radiating gas

2021 ◽  
Vol 33 (4) ◽  
pp. 046106
Author(s):  
Mayank Singh ◽  
Rajan Arora
Keyword(s):  
Shock Waves ◽  
One Dimensional

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.

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