Spherical Shock Generated by a Moving Piston in a Nonideal Gas under Gravitation Field with Monochromatic Radiation and
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Journal of Engineering Physics and Thermophysics, Vol. 93, No. 4, July, 2020
SPHERICAL SHOCK GENERATED BY A MOVING PISTON IN A NONIDEAL GAS UNDER GRAVITATION FIELD WITH MONOCHROMATIC RADIATION AND MAGNETIC FIELD G. Nath
UDC 533.951
Similarity solutions for the propagation of a spherical shock wave generated by a moving piston in a nonideal gas under the influence of a gravitational field and azimuthal magnetic field with monochromatic radiation are obtained. The gravitational field is due to a central mass at the origin, i.e., the Roche model is valid. The gravitational effect of the gas itself is neglected in comparison with the attraction of the central mass at the origin. We considered that the radiation flux moves through an electrically conducting nonideal gas with constant intensity and energy is absorbed only behind the shock which moves in the direction opposite to the radiation flux. The results are discussed and compared with ones for a perfect gas, as well as for the cases of the influence of the gravitational field and of the absence of this field. The effect of the variations of the Alfven–Mach number, gravitational parameter, adiabatic exponent, and of the parameter of gas nonidealness are discussed in details. Keywords: shock wave, monochromatic radiation, gravitational field, magnetic field, nonideal gas, interstellar medium. Introduction. The detailed investigation of shocks within stars were started by analyzing the birth and early phase of a shock front propagating radially (see work of Ro and Matzner [1]). Dessart et al. [2] noted that shocks may be answerable for many types of astrophysical phenomenon, such as outbursts, and they occur really when energy is released over a period shorter than the dynamical time. Excepting reflection and dissipation by other means, all acoustic waves steepen into shocks in a limited time [3]. Shocks launched by waves from a convective region have been long considered as a heat source for the solar corona [1, 4, 5]. Shocks are well known in the interstellar medium because of a huge variety in supersonic motions and energetic events. The details can be seen in our previous work [6] and its references. Parker [7] has pointed out that the hydrodynamic blast wave theory can successfully describe the large-scale domain where the flow due to sudden expansion of the solar corona converges asymptotically. The blast waves caused by a linear time-dependent energy input are in essence "piston-driven" waves [8–10]. A detailed study of the interaction between gas-dynamical motion of an electrically conducting medium and a magnetic field within a hyperbolic structure has been carried out by many researchers [11, 12]. Magnetic fields play a great role in a variety of astrophysical situations [13, 14]. The assumption that a gas is ideal is no longer valid when the flow occurs at high temperatures. Many researchers studied the propagation of shock waves in a nonideal gas (see among others [6, 15–22]). In energy transport for long distances between stellar objects, radiation pl
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