- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Submit a Manuscript
- Table of Contents
ISRN Mathematical Physics
Volume 2012 (2012), Article ID 168315, 11 pages
Magnetogasdynamic Shock Waves in a Rotating Gas with Exponentially Varying Density
1Department of Mathematics and Statistics, Deen Dayal Upadhyay Gorakhpur University, Gorakhpur 273009, India
2Department of Mathematics, National Institute of Technology Raipur, G.E. Road, Raipur 492010, India
Received 3 April 2012; Accepted 23 May 2012
Academic Editors: P. Bantay and P. Hogan
Copyright © 2012 J. P. Vishwakarma and G. Nath. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- W. D. Hayes, “Self-similar strong shocks in an exponential medium,” Journal of Fluid Mechanics, vol. 32, pp. 305–315, 1968.
- D. D. Laumbach and R. F. Probstein, “A point explosion in a cold exponential atmosphere,” Journal of Fluid Mechanics, vol. 35, no. 1, part 1, pp. 53–75, 1968.
- G. DebRay, “An exact analytic solution for strong plane shock waves in an exponential medium,” Bulletin of Calcutta Mathematical Society, vol. 66, pp. 27–31, 1974.
- B. G. Verma and J. P. Vishwakarma, “Propagation of magnetogasdynamic plane shock waves in an exponential medium,” Nuovo Cimento B, vol. 32, no. 2, pp. 267–272, 1976.
- B. G. Verma and J. P. Vishwakarma, “Axially symmetric explosion in magnetogasdynamics,” Astrophysics and Space Science, vol. 69, no. 1, pp. 177–188, 1980.
- J. P. Vishwakarma, “Propagation of shock waves in a dusty gas with exponentially varying density,” European Physical Journal B, vol. 16, no. 2, pp. 369–372, 2000.
- J. P. Vishwakarma and G. Nath, “Propagation of shock waves in an exponential medium with heat conduction and radiation heat flux,” Modelling, Measurement and Control B, vol. 77, no. 3-4, pp. 67–84, 2008.
- J. P. Vishwakarma, G. Nath, and K. K. Singh, “Propagation of shock waves in a dusty gas with heat conduction, radiation heat flux and exponentially varying density,” Physica Scripta, vol. 78, no. 3, article 035402, 11 pages, 2008.
- L. I. Sedov, Similarity and Dimensional Methods in Mechanics, Mir Publishers, Moscow, Russia, 1982.
- Y. B. Zel'dovich and W. P. Raizer, Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, vol. 2, Academic Press, New York, NY, USA, 1967.
- T. S. Lee and T. Chen, “Hydromagnetic interplanetary shock waves,” Planetary and Space Science, vol. 16, no. 12, pp. 1483–1502, 1968.
- D. Summers, “An idealized model of a magnetohydrodynamic spherical blast wave applied to a flare produced shock in the solar wind,” Astronomy & Astrophysics, vol. 45, pp. 151–158, 1975.
- P. Chaturani, “Strong cylindrical shocks in a rotating gas,” Applied Scientific Research, vol. 23, no. 3-4, pp. 197–211, 1970.
- A. Sakurai, “Propagation of spherical shock waves in stars,” Journal of Fluid Mechanics, vol. 1, pp. 436–453, 1956.
- O. Nath, S. N. Ojha, and H. S. Takhar, “Propagation of a shock wave in a rotating interplanetary atmosphere with increasing energy,” Journal of MHD and Plasma Research, vol. 8, pp. 269–282, 1999.
- J. P. Vishwakarma, A. K. Maurya, and K. K. Singh, “Self-similar adiabatic flow headed by a magnetogasdynamic cylindrical shock wave in a rotating non-ideal gas,” Geophysical and Astrophysical Fluid Dynamics, vol. 101, no. 2, pp. 155–168, 2007.
- V. A. Levin and G. A. Skopina, “Detonation wave propagation in rotational gas flows,” Journal of Applied Mechanics and Technical Physics, vol. 45, no. 4, pp. 457–460, 2004.
- G. Nath, “Magnetogasdynamic shock wave generated by a moving piston in a rotational axisymmetric isothermal flow of perfect gas with variable density,” Advances in Space Research, vol. 47, no. 9, pp. 1463–1471, 2011.
- G. Nath, “Propagation of a strong cylindrical shock wave in a rotational axisymmetric dusty gas with exponentially varying density,” Research in Astronomy and Astrophysics, vol. 10, no. 5, pp. 445–460, 2010.
- G. B. Whitham, “On the propagation of shock waves through regions of non-uniform area or flow,” Journal of Fluid Mechanics, vol. 4, pp. 337–360, 1958.
- M. A. Liberman and A. L. Velikovich, Physics of Shock Waves in Gases and Plasmas, Springer, Berlin, Germany, 1986.
- S.-I. Pai, Magnetogasdynamics and Plasma Dynamics, Springer, Vienna, Austria, 1986.
- G. Nath, “Shock waves generated by a piston moving in a non-ideal gas in the presence of a magnetic field: isothermal flow,” South East Asian Journal of Mathematics and Mathematical Sciences, vol. 5, no. 2, pp. 69–83, 2007.
- R. A. Freeman and J. D. Craggs, “Shock waves from spark discharges,” Journal of Physics D, vol. 2, no. 3, pp. 421–427, 1969.
- M. N. Director and E. K. Dabora, “An experimental investigation of variable energy blast waves,” Acta Astronautica, vol. 4, no. 3-4, pp. 391–407, 1977.
- G. DebRay, “Similarity solutions for cylindrical blast waves in magnetogasdynamics,” Physics of Fluids, vol. 16, no. 4, pp. 559–560, 1973.
- P. Rosenau, “Equatorial propagation of axisymmetric magnetohydrodynamic shocks II,” Physics of Fluids, vol. 20, no. 7, pp. 1097–1103, 1977.