Affiliation:
1. Department of Applied Science and Engineering , Indian Institute of Technology , Roorkee , India
Abstract
Abstract
The main aim of this paper is, to obtain the analytical solution of the Riemann problem for a quasi-linear system of equations, which describe the one-dimensional unsteady flow of an ideal polytropic dusty gas in magnetogasdynamics without any restriction on the initial data. By using the Rankine-Hugoniot (R-H) and Lax conditions, the explicit expressions of elementary wave solutions (i. e., shock waves, simple waves and contact discontinuities) are derived. In the flow field, the velocity and density distributions for the compressive and rarefaction waves are discussed and shown graphically. It is also shown how the presence of small solid particles and magnetic field affect the velocity and density across the elementary waves. It is an interesting fact about this study that the results obtained for the Riemann problem are in closed form.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Reference41 articles.
1. Richard Courant and Kurt Otto Friedrichs, Supersonic Flow and Shock Waves. Applied Mathematical Sciences, vol. 21, Springer Science & Business Media, 1999.
2. J. A. Smoller, “On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems,” Mich Math J, vol. 16, no. 3, pp. 201–210, 1969.
3. T. Raja Sekhar and V. D. Sharma, ‘Riemann problem and elementary wave interactions in isentropic magnetogasdynamics,” Nonlinear Anal R World Appl, vol. 11, no. 2, pp. 619–636, 2010.
4. Yujin Liu and Wenhua Sun, “Riemann problem and wave interactions in magnetogasdynamics,” J Math Anal Appl, vol. 397, no. 2, pp. 454–466, 2013.
5. D. Lax Peter, “Hyperbolic systems of conservation laws ii,” Commun Pure Appl Math, vol. 10, no. 4, pp. 537–566, 1957.
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