Detonation waves in polydisperse gas suspensions of unitary fuel having a continuous particle size distribution function

Institute of the Mechanics of Multiphase Systems, Siberian Branch of the Russian Academy of Sciences, 625000 Tyumen'. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 6, pp. 14–24, November–December, 1995.     

Detonation waves in polydisperse gas suspensions of monofuel in tubes with an abrupt expansion

The distinctive features of detonation wave propagation in polydisperse (double-fraction) gas suspensions of a monofuel in tubes with an abrupt expansion are numerically investigated. Numerical calculations are performed for different sizes and relative mass contents of the particles of both fractions. A comparative analysis of the effect of mono- and polydisperse monofuel particles on the detonation wave mitigation is made. The dependences of the critical tube-diameter ratio of a sectional pipeline on the relative mass content and polydispersity of monofuel particles with different sizes are presented.     

Amplification of shock waves in a bubble-filled liquid with gas concentration gradient

The properties are studied of the propagation of unsteady shock waves in a gas-liquid system of bubble structure in the case when the volume concentration of the gas changes in the direction of motion of the shock wave. It is established that when there is a sufficiently rapid drop in the gas content, an effect of amplification of the shock wave is observed which is due to the deceleration of the medium behind the shock wave. A study is made of the laws of the evolution of long- and short-wave pulsed perturbations in such systems. The authors consider processes of reflection of waves from obstacles and their passage from a gas into a bubble liquid, from a two-phase mixture into a pure liquid. The contribution is determined of nonequilibrium effects to the process of amplification of a wave.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 49–54, January–February, 1988.The authors wish to express gratitude to R. I. Nigmatulin for his interest in the study and for useful discussions.     

Magnetoacoustic shock waves in a nonuniform plasma flow

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 13–19, July–August, 1991.     

Propagation of shock waves in nonuniform plasma

Results of numerical simulation of the propagation of one-dimensional magnetohydrodynamic shock waves in a nonuniform plasma containing a magnetic field are discussed. Possible uses for the production of high velocities and temperatures and astrophysical applications are considered. The essential effect of the magnetic field is shown; acceleration of a shock wave is intensified in a medium with decreasing density.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 22–26, March–April, 1976.In conclusion, the authors are grateful to S. K. Godunov for a detailed discussion of the computational aspects and of the results, and to A. E. Voitenko for a discussion of experimental possibilities and of the results.     

Resistance matrix for a particle in a nonuniform gas flow

The slow (relative to the medium) motion of a heat-conducting particle in a gas flow described by the Navier-Stokes equations is examined. The particle is small as compared with the macroscopic scale of the flow and the Local perturbation it creates is therefore described by a Linear Boltzmann equation. A system of thermodynamic fluxes corresponding to the thermodynamic forces is established, and the transport coefficients forming the resistance matrix are shown to be symmetric.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 101–108, January–February, 1988.     

Evolution equation for unsteady shock waves of moderate intensity in a viscous heat-conducting gas

A simple model equation that takes into account the nonisentropicity of the flow is. obtained from the equations of a viscous heat-conducting gas. It differs from the Burgers equation in possessing an additional term with a clear physical significance. This equation is suitable for one-dimensional traveling waves on the Mach number interval 1M1.3. The equation obtained gives the asymptotic laws of damping of weak shock waves correct to small terms of the leading and next order for plane [2], cylindrical [3] and spherical [4] symmetry.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 187–190, September–October, 1989.     

Gas-dynamic shock waves in a relaxing gas

St. Petersburg State University, St. Petersburg 199004. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 36, No. 3, pp. 92–97, May–June, 1995.     

Supersonic motion of bodies in a gas with shock waves

The authors consider the problem of supersonic unsteady flow of an inviscid stream containing shock waves round blunt shaped bodies. Various approaches are possible for solving this problem. The parameters in the shock layer on the axis of symmetry have been determined in [1, 2] by using one-dimensional theory. The authors of [3, 4] studied shock wave diffraction on a moving end plane and wedge, respectively, by the through calculation method. This method for studying flow around a wedge with attached shock was also used in [5]. But that study, unlike [4], used self-similar variables, and so was able to obtain a clearer picture of the interaction. The present study gives results of research into the diffraction of a plane shock wave on a body in supersonic motion with the separation of a bow shock. The solution to the problem was based on the grid characteristic method [6], which has been used successfully to solve steady and unsteady problems [7–10]. However a modification of the method was developed in order to improve the calculation of flows with internal discontinuities; this consisted of adopting the velocity of sound and entropy in place of enthalpy and pressure as the unknown thermodynamic parameters. Numerical calculations have shown how effective this procedure is in solving the present problem. The results are given for flow round bodies with spherical and flat (end plane) ends for various different values of the velocities of the bodies and the shock waves intersected by them. The collision and overtaking interactions are considered, and there is a comparison with the experimental data.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 141–147, September–October, 1984.     

Nonstationary gas flow with shock waves in a supersonic compressor

Shock waves are formed in the channels between blades in a compressor working in the transsonic state, and the positions of these vary periodically and produce strong vibrations in the blades. The effect is extremely complex and is dependent on a large number of parameters. Here we present a simplified model for the effect, which can be examined theoretically. It is assumed that the nonstationary pulsations in the flow and the amplitudes in the oscillations of the shock waves are small, and therefore one can employ a steady-state flow whose characteristics may be taken as given, including the mean position of the shock waves.Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 41–47, September–October, 1973.     

Pressure waves in a tube filled with a bubbly mixture with a nonuniform cross-sectional bubble distribution

The evolution of pressure waves in a tube filled with a gas-liquid medium with a stepped cross-sectional bubble distribution is investigated. The calculations are compared with experimental data. It is shown that in the case of a nonuniform bubble distribution, due to the appearance of transverse flows, the pressure pulse is damped faster than for a uniform distribution. The interaction of pressure waves with a bubble cluster in a tube filled with liquid is also analyzed.     

Acoustic waves in liquids with polydisperse gas bubbles. Comparison of theory and experiment

A mathematical model describing the propagation of acoustic waves of different geometry in two-fraction mixtures of a liquid with polydisperse gas bubbles of different composition is presented. A system of differential equations for the perturbed motion of the two-phase mixture is formulated and a dispersion relation is obtained. The theory developed is compared with known experimental data, including those for a near-resonance bubble frequency.     

Some results of a numerical analysis of transient waves in gas suspensions

Special aspects of the transmission of transient waves through gas mixtures carrying suspended solid particles of chemically inert substances are examined. The influence of the parameters of the gas suspension on the conditions governing the occurrence of transient processes is discussed. The interaction of shock waves with a dust-laden half-space is considered. The results of calculations relating to the decay of an arbitrary discontinuity during the reflection of a shock wave from a wall are presented.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 64–69, September–October, 1976.