ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

Tukmakov D. A., Ahunov A. A. Numerical Study of the Influence of the Electric Charge of a Dispersed Phase on the Propagation of a Shock Wave from Homogeneous Gas to a Dusty Medium. //Izvestiya of Saratov University. New series. Series: Physics. , 2020, vol. 20, iss. 3, pp. 183-192. DOI: https://doi.org/10.18500/1817-3020-2020-20-3-183-192

Published online:
31.08.2020
Language:
Russian
UDC:
51.72:533:537

Numerical Study of the Influence of the Electric Charge of a Dispersed Phase on the Propagation of a Shock Wave from Homogeneous Gas to a Dusty Medium

Autors:
Tukmakov Dmetry A., Federal Research Center of the Kazan Scientific Center of the Russian Academy of Sciences
Ahunov Adel A., Kazan National Research Technical University named after A. N. Tupolev–KAI
Abstract:

Background and Objectives: The currents of heterogeneous media occur in nature and in industrial technologies. In this paper, we consider the propagation of shock waves from pure gas to a heterogeneous mixture consisting of particles suspended in gas and having an electric charge. A mathematical model is used which takes into account the difference between the velocity and temperature of the components of the mixture. The force of aerodynamic drag describes interphase force interaction. Materials and Methods: The carrier medium is described as a viscous compressible heat conducting gas. The equations of the mathematical model are solved by an explicit method of finite differences of second order accuracy, using a nonlinear correction of the mesh function obtained using a numerical method. The system of equations of the mathematical model is supplemented with boundary conditions. Results: Due to numerical modeling, it has been found that in the electrically charged gas slurry there is a difference in the pressure and velocity of the gas, the “average density”, and the velocity of the dispersed component from similar values in the gas slurry to the electrically neutral dispersed component. In addition, in the regions of the channel where the “average density” in the electrically charged gas slurry is greater than in the neutral gas slurry, there is an increase in pressure and a decrease in the velocity of the carrier medium. It is also apparent from the calculations that the particle velocity of the dispersed component of the electrically charged gas suspension of the particles is less than the particle velocity of the neutral gas suspension. Thus, the concentration of dispersed phase particles in the electrically charged gas slurry in the gas/dust contact zone is higher, resulting in a difference in the velocity and pressure distribution relative to that observed in the electrically neutral gas slurry. Conclusions: The revealed differences in the parameters of the carrier medium during the propagation of a shock wave from a pure gas into a neutral and electrically charged dusty medium arise due to the force interaction of the gas and solid components of a heterogeneous mixture. The differences were caused by the effect of Coulomb force on the dispersed component of the mixture.

Key words:
DOI:
10.18500/1817-3020-2020-20-3-183-192
References:
1. Nigmatulin R. I. Dinamika mnogofaznyh sred: v 2 ch. [The dynamics of multiphase media: in 2 parts]. Moscow, Nauka Publ., 1987. 2 pt. 464 p. (in Russian).
2. Gubaidullin D. A. Dinamika dvukhfaznykh parogazokapel’nykh sred [Dynamics of two-phase vapor-gasdroplet media]. Kazan, Izd-vo Kazan. Matem. o-va, 1998. 153 p. (in Russian).
3. Kutushev A. G. Matematicheskoe modelirovanie volnovykh protsessov v aerodispersnykh i poroshkoobraznykh sredakh [Mathematical modeling of wave processes in aerodispersed and powdery media]. St. Petersburg, Nedra Publ., 2003. 284 p. (in Russian).
4. Fedorov A. V., Fomin V. M., Khmel T. A. Volnovye processy v gazovzvesyakh chastits metallov [Wave processes in gas-suspended particles of metals]. Novosibirsk, Parallel Publ., 2015. 301 p. (in Russian).
5. Sadin D. V. TVD scheme for stiff problems of wave dynamics of heterogeneous media of nonhyperbolic nonconservative type. Computational Mathematics and Mathematical Physics, 2016, vol. 56, no. 12, pp. 2068–2078. DOI: https://doi.org/10.1134/S0965542516120137
6. Varaksin A. Y., Protasov M. V., Yatsenko V. P. Analysis of the deposition processes of solid particles onto channel walls. High Temperature, 2013, vol. 51, no. 5, pp. 665–672. DOI: https://doi.org/10.1134/S0018151X13050210
7. Varaksin A. Y. Clusterization of particles in turbulent and vortex two-phase flows. High Temperature, 2014, vol. 52, no. 5, pp. 752–769. DOI: https://doi.org/10.1134/S0018151X14050204
8. Glazunov A. A., Dyachenko N. N., Dyachenko L. I. Numerical investigation of the flow of ultradisperse particles of the aluminum oxide in the solid-fuel rocket engine nozzle. Thermophysics and Aeromechanics, 2013, vol. 20, no. 1, pp. 79–86. DOI: https://doi.org/10.1134/S0869864313010071
9. Zhuoqing A., Jesse Z. Correlating the apparent viscosity with gas-solid suspension flow in straight pipelines. Powder Technology, 2019, March 1, vol. 345, pp. 346–351. DOI: https://doi.org/10.1016/j.powtec.2018.12.098
10. Gubaidullin D. A., Tukmakov D. A. Numerical investigation of the evolution of a shock wave in a gas suspension with consideration for the nonuniform distribution of the particles. Mathematical Models and Computer Simulations, 2015, vol. 7, iss. 3, pp. 246–253. DOI: https://doi.org/10.1134/S2070048215030072
11. Nigmatulin R. I., Gubaidullin D. A., Tukmakov D. A. Shock Wave Dispersion of Gas-Particle Mixtures. Doklady Physics, 2016, vol. 61, no. 2, pp. 70–73. DOI: https://doi.org/10.1134/S1028335816020038
12. Tadaa Y., Yoshioka S., Takimoto A., Hayashi Y. Heat transfer enhancement in a gas – solid suspension flow by applying electric field. Inter. J. of Heat and Mass Transfer, 2016, February, vol. 93, pp. 778–787. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2015.09.0.063
13. Zinchenko S. P., Tolmachev G. N. Accumulation of products of ferroelectric target sputtering in the plasma of an rf glow discharge. Plasma Physics Reports, 2013, vol. 39, no. 13, p. 1096–1098. DOI: https://doi.org/10.1134/S1063780X13050176
14. Dikalyuk A. S., Surzhikov S. T. Numerical simulation of rarefi ed dusty plasma in a normal glow discharge. High Temperature, 2012, vol. 50, no. 5, pp. 571–578. DOI: https://doi.org/10.1134/S0018151X12040050
15. Tukmakov A. L., Tukmakov D. A. Generation of Acoustic Disturbances by a Moving Charged Gas Suspension. Journal of Engineering Physics and Thermophysics, 2018, vol. 91, iss. 5, pp. 1141–1147. DOI: https://doi.org/10.1007/s10891-018-1842-8
16. Panyushkin V. V., Pashin M. M. Measurement of the charge of the powder applied by sprayers with external charging. Lakokrasochnye materialy i ikh primenenie [Paintwork materials and their application], 1984, no. 2, pp. 25–27 (in Russian).
17. Gubaidullin D. A., Tukmakov D. A. Influence of the disperse phase properties on characteristics of the shock wave passing the direct shock from pure gas in the gas mixture. Russian Aeronautics, 2017, vol. 60, no. 3, pp. 457–462. DOI: https://doi.org/10.3103/S1068799817030205
18. Tukmakov D. A. Numerical simulation of oscillations of an electrically charged heterogeneous medium due to inter-component interaction. Izvestiya VUZ. Applied Nonlinear Dynamics, 2019, vol. 27, no. 3, pp. 73–85 (in Russian). DOI: https://doi.org/10.18500/0869-6632-2019-27-3-73-85
19. Salyanov F. A. Osnovy fiziki nizkotemperaturnoj plazmy, plazmennykh apparatov i tekhnologii [Fundamentals of low-temperature plasma physics, plasma devices and technologies]. Moscow, Nauka Publ., 1997. 240 p. (in Russian).
20. Fletcher C. A. Computation Techniques for Fluid Dynamics. Berlin, etc., Springer-Verlang, 1988. 502 p.
21. Tukmakov A. L. Numerical modeling of acoustic flows during resonant gas oscillations in a closed pipe. Aviatsionnaya tekhnika [News of higher educational institutions. Aircraft technology], 2006, no. 4, pp. 33–36 (in Russian).
22. Muzafarov I. F., Utyuzhnikov S. V. Application of compact difference schemes to the study of unsteady flows of a compressible gas. Matematicheskoe modelirovanie [Mathematical Modeling], 1993, vol. 5, no. 3, pp. 74–83 (in Russian).
23. Krylov V. I., Bobkov V. V., Monastic P. I. Vychislitel’nye metody: v 2 t. [Computational Methods: in 2 vols.] Moscow, Nauka Publ., 1977, vol. 2. 401 p. (in Russian).
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