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Article

Propagation of Blast Waves in a Non-Ideal Magnetogasdynamics

1
Department of Applied Science and Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, India
2
Department of Mathematics and Natural Sciences (DMNS), Prince Mohammad Bin Fahd University, Dhahran 34754, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(4), 458; https://doi.org/10.3390/sym11040458
Received: 6 March 2019 / Revised: 23 March 2019 / Accepted: 27 March 2019 / Published: 1 April 2019
(This article belongs to the Special Issue Symmetry in Mathematical Analysis and Applications)
Blast waves are generated when an area grows abruptly with a supersonic speed, as in explosions. This problem is quite interesting, as a large amount of energy is released in the process. In contrast to the situation of imploding shocks in ideal gas, where a vast literature is available on the effect of magnetic fields, very little is known about blast waves propagating in a magnetic field. As this problem is highly nonlinear, there are very few techniques that may provide even an approximate analytical solution. We have considered a problem on planar and radially symmetric blast waves to find an approximate solution analytically using Sakurai’s technique. A magnetic field has been taken in the transverse direction. Gas particles are supposed to be propagating orthogonally to the magnetic field in a non-deal medium. We have further assumed that specific conductance of the medium is infinite. Using Sakurai’s approach, we have constructed the solution in a power series of ( C / U ) 2 , where C is the velocity of sound in an ideal gas and U is the velocity of shock front. A comparison of obtained results in the absence of a magnetic field within the published work of Sakurai has been made to generate the confidence in our results. Our results match well with the results reported by Sakurai for gas dynamics. The flow variables are computed behind the leading shock and are shown graphically. It is very interesting that the solution of the problem is obtained in closed form. View Full-Text
Keywords: blast waves; non-ideal gas; Rankine–Hugoniot conditions; magnetogasdynamics blast waves; non-ideal gas; Rankine–Hugoniot conditions; magnetogasdynamics
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MDPI and ACS Style

Chauhan, A.; Arora, R.; Siddiqui, M.J. Propagation of Blast Waves in a Non-Ideal Magnetogasdynamics. Symmetry 2019, 11, 458. https://doi.org/10.3390/sym11040458

AMA Style

Chauhan A, Arora R, Siddiqui MJ. Propagation of Blast Waves in a Non-Ideal Magnetogasdynamics. Symmetry. 2019; 11(4):458. https://doi.org/10.3390/sym11040458

Chicago/Turabian Style

Chauhan, Astha, Rajan Arora, and Mohd J. Siddiqui 2019. "Propagation of Blast Waves in a Non-Ideal Magnetogasdynamics" Symmetry 11, no. 4: 458. https://doi.org/10.3390/sym11040458

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