Abstract
A meshless method for modelling of 2D transient, non-isothermal, gas-droplet flows with phase transitions, based on a combination of the viscous-vortex and thermal-blob methods for the carrier phase with the Lagrangian approach for the dispersed phase, is developed. The one-way coupled, two-fluid approach is used in the analysis. The method makes it possible to avoid the `remeshing' procedure (recalculation of flow parameters from Eulerian to Lagrangian grids) and reduces the problem to the solution of three systems of ordinary differential equations, describing the motion of viscous-vortex blobs, thermal blobs, and evaporating droplets. The gas velocity field is restored using the Biot-Savart integral. The numerical algorithm is verified against an analytical solution for a non-isothermal Lamb vortex and some asymptotic results known in the literature. The method is applied to modelling of an impulse two-phase cold jet injected into a quiescent hot gas, taking into account droplet evaporation. Various flow patterns are obtained in the calculations, depending on the initial droplet size: (i) low-inertia droplets, evaporating at a higher rate, form ring-like structures and are accumulated only behind the vortex pair; (ii) large droplets move closer to the jet axis, with their sizes remaining almost unchanged; and (iii) intermediate-size droplets are accumulated in a curved band whose ends trail in the periphery behind the head of the cloud, with larger droplets being collected at the front of the two-phase region.
Original language | English |
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Pages (from-to) | 93-102 |
Number of pages | 10 |
Journal | International Journal of Heat and Fluid Flow |
Volume | 58 |
DOIs | |
Publication status | Published - 5 Feb 2016 |
Bibliographical note
© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/Keywords
- Droplets
- Evaporation
- Two-phase flow
- Lagrangian approach
- Meshless method
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Steven Begg
- School of Arch, Tech and Eng - Reader
- Advanced Engineering Centre - Director
Person: Academic
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Oyuna Rybdylova
- School of Arch, Tech and Eng - Principal Lecturer
- Advanced Engineering Centre
Person: Academic
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Sergei Sazhin
- School of Arch, Tech and Eng - Professor of Thermal Physics
- Advanced Engineering Centre
Person: Academic