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A coupled Euler-Lagrange CFD modelling of droplets-to-film

Part of: ISABE 2017

Published online by Cambridge University Press:  13 October 2017

A. A. Adeniyi ,
H. P. Morvan  and
K. A. Simmons
A. A. Adeniyi*
Affiliation:
Motorsports & Mechanical Engineering, School of Engineering, University of Central Lancashire, Preston, United Kingdom, PR1 2HE
H. P. Morvan
Affiliation:
Gas Turbine & Transmissions Research Centre (G2TRC), University of Nottingham, Nottingham, United Kingdom, NG7 2RD
K. A. Simmons
Affiliation:
Gas Turbine & Transmissions Research Centre (G2TRC), University of Nottingham, Nottingham, United Kingdom, NG7 2RD
*
[email protected]
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Abstract

In this paper, a droplet to film interaction model technique is presented. In the proposed approach, the liquid and gas continua are modelled using an enhanced Volume-of-Fluid (VoF) technique while the droplets are tracked using a Lagrangian framework and are coupled to the Eulerian phases using source terms. The eventual target application is an aeroengine bearing chamber in which oil is found as droplets, shed from the bearings, splashing on impact, separated from wall surfaces at obstacles or simply re-entrained, and as a continuum oil film coating the bearing chamber outer walls which it also cools. In finite volume Computational Fluid Dynamics (CFD) techniques, a prohibitively large number of cells would be required to describe the details of the droplet impact phenomenon. Based on published correlations, the splashing droplets are created and tracked as Lagrangian particles. The flowing film and the gas continua are handled with an enhanced VoF technique.

Keywords

CLSVOFDPMDropletSplashVOF
Type
Research Article
Information
The Aeronautical Journal , Volume 121 , Issue 1246 , December 2017 , pp. 1897 - 1918
Copyright
Copyright © Royal Aeronautical Society 2017 

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Footnotes

A version of this paper was presented at the ISABE 2017 Conference, 3-8 September 2017, Manchester, UK.

References

REFERENCES

1. Adeniyi, A.A., Morvan, H. and Simmons, K. A computational fluid dynamics simulation of oil–air flow between the cage and inner race of an aero-engine bearing, ASME J. Engineering for Gas Turbines and Power, 2017, 139, (1), pp 012 506–8.Google Scholar
2. Maroteaux, F., Llory, D., Coz, J.-F.L. and Habchi, C. Liquid film atomization of wall edges - Separation criterion and droplets formation model, J. Fluids Engineering, 2002, 124, pp 565–575.CrossRefGoogle Scholar
3. Owen, I. and Ryley, D.J. The flow of thin liquid films around corners, Int. J. Multiphase, 1984, 11, (1), pp 51–62.Google Scholar
4. Shinjo, J. and Umemura, A. Simulation of liquid jet primary breakup: Dynamics of ligament and droplet formation, Int. J. Multiphase Flow, 2010, 36, pp 513–532.Google Scholar
5. Yarin, A. Drop impact dynamics: Splashing, spreading, receding, bouncing. . ., Annual Review of Fluid Mechanics, 2006, 38, pp 159–192.CrossRefGoogle Scholar
6. Bisighini, A. Single and Double Drop Impacts onto Deep and Thick Liquid Layers, PhD dissertation, 2009, Universitá degli Studi di Bergamo, Bergamo BG, Italy.Google Scholar
7. Marengo, M., Carlo, A., Llia V, R. and Cameron, T. Drop collisions with simple and complex surfaces, Current Opinion in Colloid & Interface Science, 2011, 16, pp 292–302.Google Scholar
8. Brutin, D. Drop impingement on a deep liquid surface: Study of a crater’s sinking dynamics, Comptes Rendus Mécanique, 2003, 331, (1), pp 61–67.Google Scholar
9. Cossali, G., Brunello, G., Coghe, A. and Marengo, M. Impact of a single drop on a liquid film: Experimental analysis and comparison with empirical models, Italian Congress of Thermofluid Dynamics, UIT, 1999, Ferrara, Italy.Google Scholar
10. Cossali, G., Coghe, A. and Marengo, M. The impact of a single drop on a wetted solid surface, Experiments in Fluids, 1997, 11, pp 463–472.CrossRefGoogle Scholar
11. Cossali, G., Marengo, M., Coghe, A. and Zhdanov, S. The role of time in single drop splash on thin film, Experiments in Fluids, 2004, 36, pp 888–900.Google Scholar
12. Sikalo, S., Marengo, M., Tropea, C. and Ganic, E. Analysis of impact of droplets on horizontal surfaces, Experimental Thermal and Fluid Science, 2002, 25, pp 503–510.Google Scholar
13. Cossali, G., Marengo, M. and Santini, M. Multiple drop impact on heated surface, 9th International Conference on Liquid Atomization and Spray Systems, 2003, Sorrento, Italy.Google Scholar
14. Sikalo, S., Tropea, C. and Ganic, E.N. Impact of droplets onto inclined surfaces, J. Colloid and Interface Science, 2005, 286, pp 661–669.CrossRefGoogle ScholarPubMed
15. Rieber, M. and Frohn, A. A numerical study on the mechanism of splashing, Int. J. Heat and Fluid Flow, 1999, 20, pp 455–461.CrossRefGoogle Scholar
16. Peduto, D., Koch, R., Morvan, H., Dullenkopf, K. and Bauer, H.-J. Numerical studies of single drop impact onto a plane shallow and deep liquid pool, 24th Annual Conference on Liquid Atomization and Spray Systems, 2011, Estoril, Portugal.Google Scholar
17. Hirt, C.W. and Nichols, B.D. Volume of fluid (VoF) method for the dynamics of free boundaries, J. Computational Physics, 1981, 39, pp 201–225.Google Scholar
18. Brackbill, J.U., Kothe, D.B. and Zemach, C. A continuum method for modeling surface tension, J. Computational Physics, 1992, 100, (2), pp 335–354.CrossRefGoogle Scholar
19. Robinson, A. Computation Investigation into Offtake Flows with Application to Gas Turbine Bearing Chambers, PhD dissertation, 2010, The University of Nottingham, Nottingham, UK.Google Scholar
20. Osher, S. and Sethian, J.A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Computational Physics, 1988, 79, pp 12–49.CrossRefGoogle Scholar
21. Sussman, M. and Puckett, E.G. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows, J. Computational Physics, 2000, 162, pp 301–337.Google Scholar
22. Sethian, J.A. and Smereka, P. Level set methods for fluid interfaces, Annual Review of Fluid Mechanics, 2003, 35, pp 341–372.Google Scholar
23. Son, G. and Hur, N. A coupled level set and volume-of-fluid method for the bouyancy-driven motion of fluid particles, Numerical Heat Transfer, Part B: Fundamentals, 2002, 42, (6), pp 523–542.CrossRefGoogle Scholar
24. Bourlioux, A. A coupled level-set volume-of-fluid algorithm for tracking material interfaces, International Symposium on Computational Fluid Dynamics, 1995, Lake Tahoe, California, US.Google Scholar
25. Tkaczyk, P. and Morvan, H.P. Siloet: CFD modelling guidelines of engine sumps - Oil and air flows simulation of bearing chambers & sumps using an enhanced volume of fluid (VoF) method,” UTC in Gas Turbine Transmission Systems, The University of Nottingham, Nottingham, UK, Tech Rep JF82/PT/06, 2011.Google Scholar
26. Mundo, C., Sommerfeld, M. and Tropea, C. Droplet-wall collisions: Experimental studies of the deformation and breakup process, Int. J. Multiphase Flow, 1995, 21, (2), pp 151–173.CrossRefGoogle Scholar
27. O’Rourke, P.J. and Amsden, A.A. A spray/wall interaction submodel for the kiva-3 wall film model, SAE Technical Paper Series 2000-01-0271. 1996, SAE International, US.Google Scholar
28. Okawa, T., Shiraishi, T. and Mori, T. Effect of impingement angle on the outcome of single water drop impact onto a plane water surface, Experiments in Fluids, 2008, 44, pp 331–339.Google Scholar
29. Yarin, A.L. and Weiss, D.A. Impact of drops on solid surfaces: Self-similar capillary waves, and splashing as a new type of kinematic discontinuity, J. Fluid Mechanics, 1995, 283, pp 141–173.Google Scholar
30. ANSYS, Fluent 14.5-User Manual, 2013, ANSYS Inc, Pittsburgh, Pennsylvania, US.Google Scholar
31. Schiller, L. and Naumann, Z. Z. A drag coefficient correlation, Ver. Deustsch. Ing., 1935, 77, p 318.Google Scholar
32. Cheung, A.K.W., Tan, B.T., Hourigan, K. and Thompson, M.C. Interference drag between spherical and cylinderical particles in Stokes flow, 14th Australasian Fluid Mechanics Conference, 2001, Adelaide University, Australia.Google Scholar
33. Samenfink, W., Elsaßer, A., Dullenkopf. and Wittig, S. Droplet interaction with shear-driven liquid films: Analysis of deposition and secondary droplet characteristics, Int. J. of Heat and Fluid Flow, 1999, 20, pp 462–469.Google Scholar
34. Bai, C. and Gosman, A.D. Mathematical modelling of wall films formed by impinging sprays, SAE Technical Paper Series 960626, 1996, SAE International, US.Google Scholar
35. Mehdizadeh, Z., Navid, S.C. and Mostaghimi, J. Formation of fingers around the edges of a drop hitting a metal plate with high velocity, J. Fluid Mechanics, 2004, 510, pp 353–373.Google Scholar