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Slip-Flow over Lubricated Surfaces

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Abstract

Slip-flow boundary conditions have been used in a direct numerical simulation of incompressible turbulent flow in a plane lubricated channel to mimic the unsteady dynamics of the thin lubricating films present at both channel walls. The results are compared with data from a full simulation, in which also the flow inside the lubrication layers was resolved. By replacing the lubrication layers with the slip-flow conditions, both turbulence statistics and coherent near-wall structures in the bulk-fluid are surprisingly well reproduced. In this approach the need to resolve the flow within the lubricating films is eliminated and the computational efforts are therefore reduced.

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References

  1. Beavers, B.V. and Joseph, D.D., Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30 (1967) 197–207.

    Google Scholar 

  2. Du, D.-X. and Suzuki, K., Turbulent statistics of rarefied flows in a microchannel. In: Proceedings of the 3rd International Symposium on Turbulence and Shear Flow Phenomena (2003) pp. 763–768.

  3. Fulgosi, M., Lakehal, D., Banerjee, S. and De Angelis, V., Direct numerical simulation of turbulence in a sheared air-water flow with a deformable interface. J. Fluid Mech. 482 (2003) 319–345.

    Google Scholar 

  4. Gad-el-Hak, M., The fluid mechanics of microdevices-the Freeman scholar lecture. ASME J. Fluids Eng. 121 (1999) 5–33.

    Google Scholar 

  5. Greenspan, H.P., On the motion of a small viscous droplet that wets a surface. J. Fluid Mech. 84 (1978) 125–143.

    Google Scholar 

  6. Hahn, S., Je, J. and Choi, H., Direct numerical simulation of turbulent channel flow with per-meable walls. J. Fluid Mech. 450 (2002) 259–285.

    Google Scholar 

  7. Jeong, J. and Hussain, F., On the identification of a vortex. J. Fluid Mech. 285 (1995) 69–94.

    Google Scholar 

  8. Jeong, J., Hussain, F., Schoppa, W. and Kim, J., Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 332 (1997) 185–214.

    Google Scholar 

  9. Joseph, D.D., Boundary conditions for thin lubrication layers. Phys. Fluids 23 (1980) 2356–2358.

    Google Scholar 

  10. Kim, J., Moin, P. and Moser, R., Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177 (1987) 133–166.

    Google Scholar 

  11. Komori, S., Nagaosa, R., Murakami, Y., Chiba, S., Ishii, K. and Kuwahara, K., Direct numerical simulation of three-dimensional open-channel flow with zero-shear gas-liquid interface. Phys. Fluids A. 5 (1993) 115–125.

    Google Scholar 

  12. Lam, K. and Banerjee, S., On the condition of streak formation in a bounded turbulent flow. Phys. Fluids A. 4 (1992) 306–320.

    Google Scholar 

  13. Lombardi, P., De Angelis, V. and Banerjee, S., Direct numerical simulation of near-interface turbulence in coupled gas-liquid flow. Phys. Fluids 8 (1996) 1643–1665.

    Google Scholar 

  14. Manhart, M., Tremblay, F. and Friedrich, R., MGLET: Aparallel code for efficient DNS and LES of complex geometries. In: Parallel Computational Fluid Dynamics-Trends and Applications. Elsevier (2001) pp. 449–456.

  15. Miksis, M.J. and Davis, S.H., Slip over rough and coated surfaces. J. Fluid Mech. 273 (1994) 125–139.

    Google Scholar 

  16. Navier, C.L.M.H., Mémoire sur les lois du mouvement des fluides. Mémoires de l'Académie Royale des Sciences de l'Institut de France VI (1823) 389–440.

    Google Scholar 

  17. Orellano, A. and Wengle, H., Numerical simulation (DNS and LES) of manipulated turbulent boundary layer flow over a surface-mounted fence. Eur. J. Mech. B-Fluids 19 (2000) 765–788.

    Google Scholar 

  18. Scardovelli, R. and Zaleski, S., Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech. 31 (1999) 567–603.

    Google Scholar 

  19. Schumann, U., Linear stability of finite difference equations for three-dimensional flow prob-lems. J. Comp. Phys. 18 (1975) 465–470.

    Google Scholar 

  20. Solbakken, S., Andersson, H.I. and Fontaine, E., Coherent structures in interfacial turbulence. In: Advances in Turbulence IX-Proceedings of the 9th European Turbulence Conference. CIMNE (2002) pp. 429–432.

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Authors and Affiliations

  1. Department of Energy and Process Engineering, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway

    Stian Solbakken & Helge I. Andersson

  2. Universität der Bundeswehr München, 85577 Neubiberg, Germany

    Jens Neumann

Authors
  1. Stian Solbakken
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  2. Helge I. Andersson
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  3. Jens Neumann
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Solbakken, S., Andersson, H.I. & Neumann, J. Slip-Flow over Lubricated Surfaces. Flow, Turbulence and Combustion 73, 77–93 (2004). https://doi.org/10.1023/B:APPL.0000044425.91745.3a

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  • DOI: https://doi.org/10.1023/B:APPL.0000044425.91745.3a

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