A fully meshless method for ‘gas - evaporating droplet' flow modelling

Oyuna Rybdylova, Alexander Osiptsov, Sergei Sazhin, Steven Begg, Morgan Heikal

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBN

Abstract

A meshless method for modelling two-phase flows with phase transition is described. The method is based on consideration of three systems: viscous-vortex blobs, thermal-blobs and droplets; and can be applied for numerical simulation of 2D non-isothermal flows of ‘gas-evaporating droplets' in the framework of the one-way coupled two-fluid approach. The carrier phase is viscous incompressible gas. The dispersed phase is presented by a cloud of identical spherical droplets, and, due to evaporation, the radius and mass of droplets are time dependent. The carrier phase parameters are calculated using the viscous-vortex and thermal-blob method; the dispersed phase parameters are calculated using the Lagrangian approach. Two applications have been considered: (i) a standard benchmark - Lamb vortex; (ii) a cold spray injected into a hot quiescent gas. In the latter problem three cases corresponding to three droplet sizes were investigated. The smallest droplets (of the three cases considered) are more readily entrained by the carrier phase and form ring-like structures; the flow shows better mixing. Larger droplets evaporate less intensively. The medium sized droplets collect into two narrow bands stretched along the jet axis. The largest droplets form a two-phase jet, which remains close to the jet axis.
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
Pages685-686
Number of pages2
Volume15
Edition1
DOIs
Publication statusPublished - 21 Oct 2015
Event86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Lecce 2015 - Lecce
Duration: 21 Oct 2015 → …

Publication series

NamePAMM
ISSN (Print)1617-7061

Conference

Conference86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Lecce 2015
Period21/10/15 → …

Fingerprint

meshfree methods
vortices
gases
ring structures
high temperature gases
two phase flow
sprayers
narrowband
evaporation
radii
fluids
simulation

Bibliographical note

This is the accepted version of the following article: Rybdylova, O., Osiptsov, A. N., Sazhin, S. S., Begg, S. and Heikal, M. (2015), A fully meshless method for ‘gas – evaporating droplet’ flow modelling. Proc. Appl. Math. Mech., 15: 685–686. , which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/pamm.201510332/abstract. This
article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving Policy.

Cite this

Rybdylova, O., Osiptsov, A., Sazhin, S., Begg, S., & Heikal, M. (2015). A fully meshless method for ‘gas - evaporating droplet' flow modelling. In Proceedings in Applied Mathematics and Mechanics (1 ed., Vol. 15, pp. 685-686). (PAMM). https://doi.org/10.1002/pamm.201510332
Rybdylova, Oyuna ; Osiptsov, Alexander ; Sazhin, Sergei ; Begg, Steven ; Heikal, Morgan. / A fully meshless method for ‘gas - evaporating droplet' flow modelling. Proceedings in Applied Mathematics and Mechanics. Vol. 15 1. ed. 2015. pp. 685-686 (PAMM).
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Rybdylova, O, Osiptsov, A, Sazhin, S, Begg, S & Heikal, M 2015, A fully meshless method for ‘gas - evaporating droplet' flow modelling. in Proceedings in Applied Mathematics and Mechanics. 1 edn, vol. 15, PAMM, pp. 685-686, 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Lecce 2015, 21/10/15. https://doi.org/10.1002/pamm.201510332

A fully meshless method for ‘gas - evaporating droplet' flow modelling. / Rybdylova, Oyuna; Osiptsov, Alexander; Sazhin, Sergei; Begg, Steven; Heikal, Morgan.

Proceedings in Applied Mathematics and Mechanics. Vol. 15 1. ed. 2015. p. 685-686 (PAMM).

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBN

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N1 - This is the accepted version of the following article: Rybdylova, O., Osiptsov, A. N., Sazhin, S. S., Begg, S. and Heikal, M. (2015), A fully meshless method for ‘gas – evaporating droplet’ flow modelling. Proc. Appl. Math. Mech., 15: 685–686. , which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/pamm.201510332/abstract. This article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving Policy.

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N2 - A meshless method for modelling two-phase flows with phase transition is described. The method is based on consideration of three systems: viscous-vortex blobs, thermal-blobs and droplets; and can be applied for numerical simulation of 2D non-isothermal flows of ‘gas-evaporating droplets' in the framework of the one-way coupled two-fluid approach. The carrier phase is viscous incompressible gas. The dispersed phase is presented by a cloud of identical spherical droplets, and, due to evaporation, the radius and mass of droplets are time dependent. The carrier phase parameters are calculated using the viscous-vortex and thermal-blob method; the dispersed phase parameters are calculated using the Lagrangian approach. Two applications have been considered: (i) a standard benchmark - Lamb vortex; (ii) a cold spray injected into a hot quiescent gas. In the latter problem three cases corresponding to three droplet sizes were investigated. The smallest droplets (of the three cases considered) are more readily entrained by the carrier phase and form ring-like structures; the flow shows better mixing. Larger droplets evaporate less intensively. The medium sized droplets collect into two narrow bands stretched along the jet axis. The largest droplets form a two-phase jet, which remains close to the jet axis.

AB - A meshless method for modelling two-phase flows with phase transition is described. The method is based on consideration of three systems: viscous-vortex blobs, thermal-blobs and droplets; and can be applied for numerical simulation of 2D non-isothermal flows of ‘gas-evaporating droplets' in the framework of the one-way coupled two-fluid approach. The carrier phase is viscous incompressible gas. The dispersed phase is presented by a cloud of identical spherical droplets, and, due to evaporation, the radius and mass of droplets are time dependent. The carrier phase parameters are calculated using the viscous-vortex and thermal-blob method; the dispersed phase parameters are calculated using the Lagrangian approach. Two applications have been considered: (i) a standard benchmark - Lamb vortex; (ii) a cold spray injected into a hot quiescent gas. In the latter problem three cases corresponding to three droplet sizes were investigated. The smallest droplets (of the three cases considered) are more readily entrained by the carrier phase and form ring-like structures; the flow shows better mixing. Larger droplets evaporate less intensively. The medium sized droplets collect into two narrow bands stretched along the jet axis. The largest droplets form a two-phase jet, which remains close to the jet axis.

U2 - 10.1002/pamm.201510332

DO - 10.1002/pamm.201510332

M3 - Conference contribution with ISSN or ISBN

VL - 15

T3 - PAMM

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EP - 686

BT - Proceedings in Applied Mathematics and Mechanics

ER -

Rybdylova O, Osiptsov A, Sazhin S, Begg S, Heikal M. A fully meshless method for ‘gas - evaporating droplet' flow modelling. In Proceedings in Applied Mathematics and Mechanics. 1 ed. Vol. 15. 2015. p. 685-686. (PAMM). https://doi.org/10.1002/pamm.201510332