Numerical study of the influence of dispersed phase parameters on the gas flow generation formed by gravitational deposition of aerosol

Authors

  • Dmitriy Alekseyevich Tukmakov Federal Research Center Kazan Scientific Center RAS

DOI:

https://doi.org/10.7242/1999-6691/2020.13.3.22

Keywords:

numerical simulation, dynamics of multiphase media, viscous gas, interphase interaction

Abstract

In this paper, non-stationary processes in an inhomogeneous medium are investigated. The dynamics of inhomogeneous media is largely determined by the effects caused by interfacial interaction, the intensity of which depends on the properties of a dispersed phase. The goal is to study the effect of volumetric content, density of the dispersed phase material and the size of aerosol particles on the motion of the carrier medium. The object of study are aerosols - gas-droplet and dusty environments. As a rule, the movement of the mixture is initiated by the movement of the carrier phase. This study addresses the flow of gas arising from the deposition of particles of a gas suspension. The effect of the dispersed phase of a two-phase mixture on gas motion during gravitational aerosol deposition is investigated numerically. The mathematical model consists of equations describing the dynamics of a carrier medium and those describing the dynamics of a dispersed component. It has been assumed that the dispersed component of the mixture is deposited in the Stokes regime. The system of equations of the dynamics of a carrier medium involves continuity, momentum, and energy equations. The carrier medium is described as a viscous, compressible and heat-conducting gas. Interfacial interaction is determined by the Stokes force. The mathematical model takes into account interphase heat transfer. The equations of the mathematical model are integrated by the explicit finite-difference McCormack method with a second-order error. A nonlinear correction of the grid function is used to obtain a monotonous numerical solution, which makes it possible to overcome the numerical oscillation in the resulting solution. The equations are supplemented by initial and boundary conditions. Numerical calculations of the gravitational deposition of a dispersed phase have shown the formation of a gas flow, and simulations of the gravitational deposition of an aerosol have revealed an uneven distribution of gas pressure caused by the flow of the carrier medium. Numerical modeling demonstrates that, depending on the parameters of the dispersed component of the gas suspension, different intensities of the gas flow can be observed.

Downloads

Download data is not yet available.

References

Nigmatulin R.I. Osnovy mekhaniki geterogennykh sred [Fundamentals of the mechanics of heterogeneous media]. Moscow, Nauka, 1978. 336 p.

Sternin L.E. (ed.) Dvukhfaznyye mono- i polidispersnyye techeniya gaza s chastitsami [Two-phase mono- and polydisperse gas flows with particles]. Moscow, Mashinostroyeniye, 1980. 176 p.

Khodakov G.S., Yudkin Yu.P. Sedimentatsionnyy analiz vysokodispersnykh sistem [Sedimentation analysis of highly dispersed systems]. Moscow, Khimiya, 1981. 192 p.

Kutushev A.G. Matematicheskoye modelirovaniye volnovykh protsessov v aerodispersnykh i poroshkoobraznykh sredakh [Mathematical modeling of wave processes in aerodispersed and powdery media] St. Petersburg, Nedra, 2003. 284 p.

Fedorov A.V., Fomin V.M., Khmel’ T.A. Volnovyye protsessy v gazovzvesyakh chastits metallov [Wave processes in gas-suspended particles of metals]. Novosibirsk, Parallel’, 2015. 301 p.

Belyaev P.E., Klinacheva N.L. Impact of gas suspension shielding layer on the force effect of shock waves on a rigid wall. Vestnik YuUrGU. Matematika. Mekhanika. Fizika – Bulletin of the South Ural State University. Mathematics. Mechanics. Physics, 2016, vol. 8, no. 4, pp. 49-55. https://doi.org/10.14529/mmph160406">https://doi.org/10.14529/mmph160406

Verevkin A.A., Tsirkunov Yu.M. Flow of a dispersed phase in the Laval nozzle and in the test section
of a two-phase hypersonic shock tunnel. J. Appl. Mech. Tech. Phy., 2008, vol. 49, pp. 789-798. https://doi.org/10.1007/s10808-008-0099-y">https://doi.org/10.1007/s10808-008-0099-y

Varaksin A.Yu., Protasov M.V., Yatsenko V.P. Analysis of the deposition processes of solid particles onto channel walls. High Temp., 2013, vol. 51, pp. 665-672. https://doi.org/10.1134/S0018151X13050210">https://doi.org/10.1134/S0018151X13050210

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. Thermophys. Aeromech., 2013, vol. 20, pp. 79-86. https://doi.org/10.1134/S0869864313010071">https://doi.org/10.1134/S0869864313010071

Stepkina M.Yu., Kudryashova O.B., Antonnikova A.A. Sedimentation rates of fine aerosols in acoustic and electric field. Izvestiya Tomskogo politekhnicheskogo universiteta. Inzhiniring georesursov – Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering, 2018, vol. 329, no. 3, pp. 62-68.

Krupnova T.V., Sarkulov M.K., Umanskiy A.A., Tutukin A.V. Innovations in nuclear energy, Moscow, 1-3 Oktober 2019. Moscow, Izd-vo AO «NIKIET», 2019, pp. 326-330.

Gubaydullin D.A., Zaripov R.G., Tkachenko L.A., Shaydullin L.R. Proc. of the XXI International conference on computational mechanics and modern applied software systems (CMMASS’2019). Alushta, Crimea, 24-31 May, 2019. Moscow, Izd-vo MAI, 2019, pp. 452-453.

Lisakov S.A., Sidorenko A.I., Sypin E.V. Simulation of dustiness in the blind drift of coal mine. Yuzhno-Sibirskiy nauchnyy vestnik – South-Siberian Scientific Bulletin, 2019, no. 4-1(28), pp. 200-213.

Kuzmin A.A., Kuzmina T.A., Permyakov A.A. Aerosols deposition in smoke ventilation systems channels. Problemy upravleniya riskami v tekhnosfere – Problems of risk management in the technosphere, 2019, no. 3(51), pp. 90-95.

Nikiforov A.I., Sadovnikov R.V., Nikiforov G.A. About transport of dispersed particles by a two-phase filtration flow. Vychisl. mekh. splosh. sred – Computational Continuum Mechanics, 2013, vol. 6, no. 1, pp. 47-53. https://doi.org/10.7242/1999-6691/2013.6.1.6">https://doi.org/10.7242/1999-6691/2013.6.1.6

Nevskii Yu.A., Osiptsov A.N. Modeling gravitational convection in suspensions. Tech. Phys. Lett., 2009, vol. 35,
pp. 340-343. https://doi.org/10.1134/S1063785009040154">https://doi.org/10.1134/S1063785009040154

Tukmakov D.A. Numerical study of polydisperse aerosol dynamics with the drops destruction. Lobachevskii J. Math., 2019, vol. 40, pp. 824-827. https://doi.org/10.1134/S1995080219060234">https://doi.org/10.1134/S1995080219060234

Tukmakov D.A. Numerical simulation of shock-wave flows in a gas suspension with inhomogeneous concentration of the dispersed phase. Russ. Aeronaut., 2019, vol. 62, pp. 59-65. https://doi.org/10.3103/S1068799819010082">https://doi.org/10.3103/S1068799819010082

Gubaidullin D.A., Tukmakov D.A. Numerical study of the influence of the breakup of dispersed phase on the distribution of a shock wave from pure gas into aerosol. High Temp., 2019, vol. 57, pp. 899-903. https://doi.org/10.1134/S0018151X19060099">https://doi.org/10.1134/S0018151X19060099

Tukmakov D.A. Numerical study of velocity slip of phases during the passage of a shock wave of low intensity from a pure gas to a dusty medium. Mnogofaznyye sistemy – Multiphase Systems, 2019, vol. 14, no. 2, pp. 125-131. https://doi.org/10.21662/mfs2019.2.017">https://doi.org/10.21662/mfs2019.2.017

Tukmakov D.A. Theoretical study of relaxation of the intensity of a pressure jump at the front of a shock wave in a gas suspension. FiPPTiT – Fundamental and Applied Problems of Technics and technology, 2019, no. 3, pp.3-11.

Fletcher C.A.J. Computation techniques for fluid dynamics. Springer, 1988. 502 p. https://doi.org/10.1007/978-3-642-97071-9">https://doi.org/10.1007/978-3-642-97071-9

Tukmakov A.L. Numerical simulation of acoustic flows at resonance gas oscillations in a closed tube. Izv. vuzov. Aviatsionnaya tekhnika – Russ. Aeronaut., 2006, no. 4, pp. 33-36.

Muzafarov I.F., Utyuzhnikov S.V. Primeneniye kompaktnykh raznostnykh skhem k issledovaniyu nestatsionarnykh techeniy szhimayemogo gaza [Application of compact difference schemes to the study of unsteady flows of a compressible gas]. Matem. modelirovaniye, 1993, vol. 5, no. 3, pp. 74-83.

Published

2020-09-30

Issue

Section

Articles

How to Cite

Tukmakov, D. A. (2020). Numerical study of the influence of dispersed phase parameters on the gas flow generation formed by gravitational deposition of aerosol. Computational Continuum Mechanics, 13(3), 279-287. https://doi.org/10.7242/1999-6691/2020.13.3.22