Abstract
The main ideas of simulation of two-phase flows, based on a combination of the conventional Lagrangian or fully Lagrangian (Osiptsov) approaches for the dispersed phase and the mesh-free vortex and thermal-blob methods for the carrier phase, are summarised. In the approach based on a combination of the fully Lagrangian approach for the dispersed phase and the vortex blob methods for the carrier phase the problem of calculation of all parameters in both phases (including particle concentration) is reduced to the solution of a high-order system of ordinary differential equations, describing transient processes in both carrier and dispersed phases. It contrast to this approach, in the approach based on a combination of the conventional Lagrangian approaches for the dispersed phase and the vortex and thermal-blob methods for the carrier phase the non-isothermal effects in the two-phase flow were taken into account. The one-way coupled, two-fluid approach was used in the analysis. The gas velocity field was restored using the Biot-Savart integral. Both these approaches were applied to modelling of two processes: the time evolution of a two-phase Lamb vortex and the development of an impulse two-phase jet. Various flow patterns were obtained in the calculations, depending on the initial droplet size.
Highlights
Two-phase flows are widely observed in engineering and environmental conditions (e.g. [1])
A combined fully Lagrangian and viscous-vortex blob approach The approach based on a combination of the fully Lagrangian method for the dispersed phase and the mesh-free viscous-vortex blob method for the carrier phase was suggested and tested in [5]
The one-way coupled, two-fluid approach was used in the analysis
Summary
Two-phase flows are widely observed in engineering and environmental conditions (e.g. [1]). As demonstrated in [2], the only approach capable of calculating the droplet concentration field, without using excessive computer power, is the one suggested by Osiptsov [3]. The latter approach is commonly known as the Osiptsov method or approach. Lebedeva et al [5] developed and tested a method combining the viscous-vortex method for the carrier phase and Osiptsov’s approach [3] for particles/droplets. This approach combined the advantages of both the viscous-vortex and Osiptsov methods
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