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Similarity solutions for one-dimensional unsteady self-similar flow behind a strong shock driven out by a cylindricaI (or spherical) piston in a medium which is assumed to be a non-ideaI gas obeying a simplified van der Waals equation of state are obtained. Both the cases, when the flow between the shock and the piston is isothermal or adiabatic, are considered. It is observed that the assumption of zero temperature gradient brings a profound change in the density distribution as compared to that of the adiabatic flow; whereas the pressure and velocity distributions are little affected. Effects of the non-idealness of the gas on the flow-field between the shock and the piston are investigated. It is found that there is a decrease in the shock strength due to non-ideaIness of the gas. This decrease in the shock strength is interpreted as a result of a decrease in the compressibility of the gas.
Rocznik
Tom
Strony
813--829
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics and Statistics D.D.U. Gorakhpur University Gorakhpur-273009, INDIA, jpv_univgkp@yahoo.com
Bibliografia
- Anisimov S.I. and Spiner O.M. (1972): Motion of an almost ideal gas in the presence of a strong point explosion. - J. Appl. Maths. Mech., vol.36, No.5, pp.883-887.
- Ashraf S. and Ahmad Z. (1975): Approximate analytic solution of a strong shock with radiation near the surface of the star. - Ind. J. Pure Appl. Math., vol.6, No.10, pp.1090-1098.
- Grigoryan S.S. (1958): The Cauchy problem and piston problem for non-dimensional unsteady motion of a gas: self-similar motions. - PMM, vol.22., No.2, pp.179-181.
- Helliwell J.B. (1969): Self-similar piston problem with relative heat transfer. - J. Fluid Mech., vol.37 , No.3, pp.497-512.
- Kochina N.N. and Melinikova N.S. (1958): On unsteady motion of a gas forced out by a piston with counter pressure neglected. - PMM, vol.22, No.4, pp.444-451.
- Korobeenikov V.P. (1976): Problems in the theory of point explosion in gases. - Proceeding of the Steklov Institute of Mathematics, No.119, American Mathematical Society.
- Laumbach D.D. and Probstein R.F. (1970): Self-similar strong shocks with radiation in a decreasing exponential atmospher . - Phys. Fluids, vol.13, No.5, pp.1178-1183.
- Rangarao M.P. and Purohit S.C. (1972a): Self-similar flows with increasing energy. - Int. J. Energy. Sci., vol.10, No.3, pp.249-262.
- Rangarao M.P. and Purohit S.C. (1972b): Self-similar flows with increasing energy - 2isothermal flow. - Int. J. Eng. Sci., vol.10, No.11, pp.963-973.
- Roberts P.H. and Wu C.C. (1996): Structure and stability of a spherical implosion. - Phys. Lett. A., vol.213, No.1-2, pp.59-64.
- Roberts P.H. and Wu C.C. (2003): Shock focussing effect in medical science and sonoluminescence. (Eds. R.C. Srivastava et al.) - Berlin: Springer-Verlag, pp.1-27.
- Rogers M.H. (1958): Similarity flows behind strong shock waves. - Quart. J. Mech. Appl. Math., vol.11, No.4, pp.411-422.
- Rosenau P. and Frankenthal S. (1976): Equatorial propagation of axisymmetric magnetohydrodynamic shock. - Phys. Fluids, vol.19, No.12, pp.1889-1899.
- Sachdev P.L. and Ashraf S. (1971): Converging spherical and cylindrical shock with zero temperature gradient in the rear flow-field. - J. Appl. Math. Phys. (ZAMP), vol.22, No.6, pp.1095-1102.
- Sedov L.I. (1982): Similarity and dimensional methods in mechanics. - Moscow: Mir. Publishers.
- 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.
- Vishwakarma J.P. (2000): Propagation of shock waves in a dusty gas with exponentially varying density. - Eur. Phys. J. B., vol.16, No.2, pp.369-372.
- Wang K.C. (1964): The piston problem with thermal radiation. - J. Fluid Mech., vol.20, No.3, pp.447-455.
- Wu C.C. and Roberts P.H. (1993): Shock-wave propagation in a sonoluminescing gas bubble. - Phys. Rev. Lett., vol.70, No.22, pp.3424-3427.
- Zhuravskaya T.A. and Levin V.A. (1996): The propagation of converging and diverging shock waves under instense heat exchange conditions. - J. Appl. Maths. Mech., vol.60, No.5, pp.745-752.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0034-0018