Magnetogasdynamic shock waves in a non-uniform gas with heat conduction and radiation heat-flux

• Autorzy: Vishwakarama J. P. , Singh A. K.
• Języki publikacji: EN

Abstrakty

EN

The propagation of a cylindrical or spherical shock wave in an ideal gas with heat conduction and radiation heat-flux, in the presence of a spacially decreasing azimuthal magnetic field, is investigated. The initial density of the gas is assumed to obey a power law. The heat conduction is expressed in terms of Fourier's law and the radiation is considered to be of the diffusion type for an optically thick grey gas model. The thermal conductivity K and the absorption coefficient are assumed to vary with temperature and density. The shock wave is assumed to be driven by a piston moving with a variable velocity. Similarity solutions are obtained and the effects of variation of the heat transfer parameters and the variation of piston velocity (or initial density) and Alfven-Mach number are investigated.

Słowa kluczowe

EN

shock wave; self-similar flow; piston problem; magnetogasdynamics; heat transfer effects; variable initial density

PL

fala uderzeniowa; tłok; przenoszenie ciepła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2008
• Tom: Vol. 13, no 3
• Strony: 797--815
• Opis fizyczny: Bibliogr. 30 poz., tab., wykr.

Twórcy

autor

Vishwakarama J. P.

autor

Singh A. K.

• Department of Mathematics and Statistics D.D.U. Gorakhpur University Gorakhpur-273009, INDIA,

Bibliografia

• Abdel-Raouf A.M. and Gretler W. (1991): Quasi-similar solutions for blast wave with internal heat transfer effects. - Fluid Dyn. Res., vol.8, No.5-6, pp.273-285.
• Bhowmick J.B. (1981): An exact analytical solution in radiation gas dynamics. - Astrophys. Space Sci., vol.74, No.2, pp.481-485.
• Christer A.H. and Helliwell J.B. (1969): Cylindrical shock and detonation waves in magnetogasdynamics. - J. Fluid Mech., vol.39, No.4, pp.705-725.
• Dabora E.K. (1972): Variable energy blast waves. - AIAA Journal, vol.10, No.10, pp.1384-1386.
• Director M.N. and Dabora E.K. (1977): Predictions of variable energy blast wave. - AIAA Journal, vol.15, No.9, pp.1315-1321.
• Elliott L.A. (1960): Similarity methods in radiation hydrodynamics. - Proc. R. Soc. Lond. A, vol.258, No.3, pp.287-301.
• Ghoniem A.F., Kamel M.M., Berger S.A. and Oppenheim A.K. (1982): Effects of internal heat transfer on the structure of self-similar blast waves. - J. Fluid Mech., vol.117, pp.473-491.
• Gretler W. and Wehle P. (1993): Propagation of blast waves with exponential heat release and internal heat conduction and thermal radiation. - Shock Waves, vol.3, No.2, pp.95-104.
• Helliwell J.B. (1969): Self-similar piston problem with radiative heat transfer. - J. Fluid Mech., vol.37, No.3, pp.497-512.
• Laumbach D.D. and Probstein R.F. (1970): A point explosion in a cold exponential atmosphere Part 2, Radiating flow. - J. Fluid Mech., vol.40, No.4, pp.833-858.
• Lee T.S. and Chen T. (1968): Hydromagnetic interplanetary shock waves. - Planet Space Sci., vol.16, No.12, pp.1483-1502.
• Marshak R.E. (1958): Effect of radiation on shock wave behaviour. - Phys. Fluids, vol.1, No.1, pp.24-29.
• Mirelsh H. (1962): Hypersonic flow over slender bodies associated with power law shocks. - Advances in Applied Mechanics, vol.7, Academic Press, New York.
• Nicastro J.R. (1970): Similarity analysis of radiative gas dynamics with spherical symmetry. - Phys. Fluids., vol.13, No.8, pp.2000-2006.
• Parker E.N. (1963): Interplanetary Dynamical Processes. - Interscience, New York.
• Pomraning G.C. (1973): The Equations of Radiation Hydrodynamics. - Int. Ser. Monographs in Natural Philosophy. Pergaman Press: Oxford. pp.54.
• Rogers M.H. (1957): Analytic solutions for the blast-waves problem with an atmosphere of varying density. - Astrophys. J., vol.125, No.2, pp.478-493.
• Rogers M.H. (1958): Similarity flows behind strong shock waves. - Quart. J. Mech. Appl. Math., vol.11, No.4, pp.411-422.
• Rosenau P. (1977): Equatorial propagation of axisymmetric magnetohydrodynamic shocks II. - Phys. Fluids, vol.20, No.7, pp.1097-1103.
• Rosenau P. and Frankenthal S. (1976a): Equatorial propagation of axisymmetric magneto-hydrodynamic shocks. - Phys. Fluids, vol.19, No.12, pp.1889-1899.
• Rosenau P. and Frankenthal S. (1976b): Shock disturbances in a thermally conducting solar wind. - Astrophys. J., vol.208, No.2, pp.633-637.
• Rosenau P. and Frankenthal S. (1978): Propagation of magnetohydrodynamic shocks in a thermally conducting medium. - Phys. Fluids, vol.21, No.4, pp.559-566.
• Sakurai A. (1956): Propagation of spherical shock waves in stars. - J. Fluid Mech., vol.1, No.4, pp.436-453.
• Sedov L.I. (1959): Similarity and Dimensional Methods in Mechanics. - New York: Academic Press.
• Singh J.B. and Srivastava S.K. (1982): Propagation of spherical shock waves in an exponential medium with radiation heat flux. - Astrophys. Space Sci., vol.88, No.2, pp.277-282.
• Steiner H. and Hirschler T. (2002): A self-similar solution of a shock propagation in a dusty gas. - Eur. J. Mech. B/Fluids, vol.21, No.3, pp.371-380.
• Summers D. (1975): An idealised model of a magnetohydrodynamic spherical blast wave applied to a flare produced shock in the solar wind. - Astron Astrophys., vol.45, No.1, pp.151-158.
• Vishwakarma J.P. and Yadav A.K. (2003): Self-similar analytical solutions for blast waves in inhomogeneous atmospheres with frozen-in-magnetic field. - Eur. Phys. J. B, vol.34, No.2, pp.247-253.
• Wang K.C. (1964): The "piston problem" with thermal radiation. - J. Fluid Mech., vol.20, No.3, pp.447-455.
• Zel'dovich Ya.B. and Raizer Yu.P. (1967): Physics of Shock Waves and High Temperature Hydrodynamic Phenomena, - Vol.2 (Translated from 2nd Russian Edn.), Academic Press: New York.