Simulations of Laminar Liquid Flows through Superhydrophobic Micro-Pipes
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32807
Simulations of Laminar Liquid Flows through Superhydrophobic Micro-Pipes

Authors: Mohamed E. Eleshaky

Abstract:

This paper investigates the dynamic behavior of laminar water flows inside superhydrophobic micro-pipes patterned with square micro-posts features under different operating conditions. It also investigates the effects of air fraction and Reynolds number on the frictional performance of these pipes. Rather than modeling the air-water interfaces of superhydrophobic as a flat inflexible surface, a transient, incompressible, three-dimensional, volume-of-fluid (VOF) methodology has been employed to continuously track the air–water interface shape inside micro-pipes. Also, the entrance effects on the flow field have been taken into consideration. The results revealed the strong dependency of the frictional performance on the air fractions and Reynolds number. The frictional resistance reduction becomes increasingly more significant at large air fractions and low Reynolds numbers. Increasing Reynolds number has an adverse effect on the frictional resistance reduction.

Keywords: Drag reduction, laminar flow in micropipes, numerical simulation, superhyrophobic surfaces, microposts.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1124119

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1906

References:


[1] Gad-El-Hak, M., 2007, “Flow Control: Passive, Active, and Reactive Flow Management,” Cambridge University Press, Cambridge, UK, Chap. 10, pp. 205-228.
[2] Ou J., Perot B., and Rothstein J. P., 2004, “Laminar Drag Reduction in Microchannels Using Ultrahydrophobic Surfaces,” Physics of Fluids, Vol. 16, no. 12, pp. 4635-4643.
[3] Guan N., Liu Z., Jiang G., Zhang C., and Ding N., 2015, “Experimental and Theoretical Investigations on the Flow Resistance Reduction and Slip Flow in Super-Hydrophobic Micro-Tubes,” Experimental Thermal and Fluid Science, Vol. 69, pp. 45–57.
[4] Yu Z., Liu X., and Kuang G., 2015, “Water Slip Flows in Superhydrophobic Micro-Tubes with Laminar Flow Region,” Chinese Journal of Chemical Engineering, Vol. 23, issue 5, pp. 763–768.
[5] Philip J., 1972, “Flows Satisfying Mixed No-Slip and No-Shear Conditions,” Z. Angew. Math. Phys., Vol. 23, pp. 353-372.
[6] Lauga E. and Stone H.A., 2003, “Effective Slip in Pressure-Driven Stokes Flow,” Journal of Fluid Mechanics, Vol. 489, pp. 55–77.
[7] Maynes D, Jeffs K, Woolford B, and Webb B., 2007, “Laminar Flow in a Micro-channel with Hydrophobic Surface Patterned Micro-Ribs Oriented Parallel to the Flow Direction,” Physics of Fluids, Vol. 19, issue 9, 3603.
[8] Ng CO and Wang CY, 2011, “Effective Slip for Stokes Flow over a Surface Patterned with Two- or Three-Dimensional Protrusions,” Fluid Dynamics Research, Vol. 43, no. 6, 065504.
[9] Ybert C, Barentin C, Cottin-Bizonne C, Joseph P, and Bocquet L., 2007, “Achieving Large Slip with Superhydrophobic Surfaces: Scaling Laws for Generic Geometries,” Physics of Fluids, Vol. 19, issue 12, 3601.
[10] Gao P. and Feng J. J., 2009, “Enhanced Slip on a Patterned Substrate Due to Depinning of Contact Line,” Physics of Fluids, Vol. 21, 102102.
[11] Park, H. W., 2015, “A Numerical Study of the Effects of Superhydrophobic Surfaces on Skin-Friction Drag Reduction in Wall-Bounded Shear Flows,” Ph.D. Thesis, University of California, USA.
[12] Park, H. W., Park, H., and Kim J., 2013, “A Numerical Study of the Effects of Superhydrophobic Surface on Skin Friction Drag in Turbulent Channel Flow,” Physics of Fluids, Vol. 25, 110815.
[13] Teo C. J. and Khoo B. C., 2014, “Effects of Interface Curvature on Poiseuille Flow through Microchannels and Microtubes Containing Superhydrophobic Surfaces with Transverse Grooves and Ribs,” Microfluid Nanofluid, Vol. 17, pp. 891–905.
[14] Eleshaky, M.E., 2016, “Three-Dimensional VOF Simulations of Laminar Fluid Flows in Micro-Pipes Containing Superhydrophobic Walls with Micro-posts and Micro-Ridges,” Proceedings of the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels, submitted for publication.
[15] Hirt, C.W. and Nichols, B.D., 1981, “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” Journal of Computational Physics, 39 (1), pp. 201–225.
[16] Brackbill J. U., Kothe D. B., and Zemach A., 1992, “A Continuum Method for Modeling Surface Tension,” J. Comp. Phys., Vol. 100, pp. 335-354.
[17] FLUENT 13.1 User's Guide, Fluent Inc., 2010.
[18] Ubbink O., 1997, “Numerical Prediction of Two Fluid Systems with Sharp Interfaces,” Ph. D. Thesis, Imperial College, University of London, UK.
[19] Lu S., Yao Z.H., Hao P.F., and Fu C.S., 2010, “Drag Reduction in Ultrahydrophobic Channels with Micro-Nano Structured Surfaces,” Sci. China, Vol. 53, no. 7, pp. 1298–1305.