Skip to main content Accessibility help
×
Home
Hostname: page-component-5959bf8d4d-m7vrx Total loading time: 0.288 Render date: 2022-12-08T01:02:02.255Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true

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*
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

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.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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 5068.CrossRefGoogle 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 565575.CrossRefGoogle Scholar
3. Owen, I. and Ryley, D.J. The flow of thin liquid films around corners, Int. J. Multiphase, 1984, 11, (1), pp 5162.CrossRefGoogle 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 513532.CrossRefGoogle Scholar
5. Yarin, A. Drop impact dynamics: Splashing, spreading, receding, bouncing. . ., Annual Review of Fluid Mechanics, 2006, 38, pp 159192.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 292302.CrossRefGoogle 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 6167.CrossRefGoogle 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 463472.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 888900.CrossRefGoogle 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 503510.CrossRefGoogle 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 661669.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 455461.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 201225.CrossRefGoogle 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 335354.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 1249.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 301337.CrossRefGoogle Scholar
22. Sethian, J.A. and Smereka, P. Level set methods for fluid interfaces, Annual Review of Fluid Mechanics, 2003, 35, pp 341372.CrossRefGoogle 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 523542.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 151173.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 331339.CrossRefGoogle 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 141173.CrossRefGoogle Scholar
30. ANSYS, Fluent 14.5-User Manual, 2013, ANSYS Inc, Pittsburgh, Pennsylvania, US.Google ScholarPubMed
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 462469.CrossRefGoogle 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 353373.CrossRefGoogle Scholar
5
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

A coupled Euler-Lagrange CFD modelling of droplets-to-film
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

A coupled Euler-Lagrange CFD modelling of droplets-to-film
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

A coupled Euler-Lagrange CFD modelling of droplets-to-film
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *