Dynamic Behavior of an Oil Droplet Adhered to the Wall Surface in a Channel Flow by the Lattice Boltzmann Method

Document Type: Full article

Authors

1 Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, P. O. Box: 16788-15811, Tehran, Iran

2 Department of Mechanical Engineering, K. N. Toosi University of Technology, P. O. Box: 19914-3344, Tehran, Iran

Abstract

The Lattice Boltzmann Method is used to simulate the dynamics of droplet deformation in a channel flow under various conditions. The droplet behavior has been investigated under transient conditions. For cases where the droplet remains attached to the surface, the shape deformation of the droplet during crawling is captured. It has been shown that there is a limiting value for the droplet volume beyond which the critical shear rate remains almost constant and does not demonstrate much correlation with the size of the droplet. The predicted shapes of the droplet at various stages of deformation in the course of the flow by the current LBM code demonstrates more resemblance to the reported experiments than those obtained by a traditional CFD code. The effect of the droplet's initial volume and Reynolds number on the detachment and crawling processes are also investigated. The results are presented at various time steps to better demonstrate the droplet separation. Under the flow conditions investigated, wherever the Aniline droplet detaches, the entire droplet separates from the surface. For an Isoquinoline droplet however, once the main body is detached, a small part of the droplet remains attached to the surface in flows with low Reynolds numbers.

Keywords


[1]      Inamuro, T., Yoshino, M. and Ogino, F., “Lattice Boltzmann simulation of flows in a three-dimensional porous structure”, International Journal for Numerical Methods in Fluids, 29 (7), 737 (1999).

[2]      He, X., Chen, S. and Zhang, R., “A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability”, Journal of Computational Physics, 152 (2), 642 (1999).

[3]      Eggels, J. G., “Direct and large-eddy simulation of turbulent fluid flow using the lattice-Boltzmann scheme”, International Journal of Heat and Fluid Flow, 17 (3), 307 (1996).

[4]      Martys, N. S. and Chen, H., “Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method”, Physical Review, E, 53 (1), 743 (1996).

[5]      Charcosset, C., Limayem, I. and Fessi, H., “The membrane emulsification process: A review”, Journal of Chemical Technology and Biotechnology, 79 (3), 209 (2004).

[6]      Thoreau, V., Malki, B., Berthome, G., Boulange-Petermann, L. and Joud, J., “Physico-chemical and dynamic study of oil-drop removal from bare and coated stainless-steel surfaces”, Journal of Adhesion Science and Technology, 20 (16), 1819 (2006).

[7]      Chatterjee, J., “A criterion for buoyancy induced drop detachment based on an analytical approximation of the drop shape”, Colloids and Surfaces, A: Physicochemical and Engineering Aspects, 178 (1), 249 (2001).

[8]      Theodorakakos, A., Ous, T., Gavaises, M., Nouri, J., Nikolopoulos, N. and Yanagihara, H., “Dynamics of water droplets detached from porous surfaces of relevance to PEM fuel cells”, Journal of Colloid and Interface Science, 300 (2), 673 (2006).

[9]      Lipowsky, H., Riedel, D. and Shi, G., “In vivo mechanical properties of leukocytes during adhesion to venular endothelium”, Biorheology, 28 (1-2), 53 (1990).

[10]  Dimitrakopoulos, P. and Higdon, J., “On the displacement of three-dimensional fluid droplets from solid surfaces in low-Reynolds-number shear flows”, Journal of Fluid Mechanics, 377, 189 (1998).

[11]  Ding, H. and Spelt, P. D., “Onset of motion of a three-dimensional droplet on a wall in shear flow at moderate Reynolds numbers”, Journal of Fluid Mechanics, 599, 341 (2008).

[12]  Mahé, M., Vignes-Adler, M., Rousseau, A., Jacquin, C. and Adler, P., “Adhesion of droplets on a solid wall and detachment by a shear flow: I. Pure systems”, Journal of Colloid and Interface Science, 126 (1), 314 (1988).

[13]  Basu, S., Nandakumar, K. and Masliyah, J. H., “A model for detachment of a partially wetting drop from a solid surface by shear flow”, Journal of Colloid and Interface Science, 190 (1), 253 (1997).

[14]  Seevaratnam, G., Ding, H., Michel, O., Heng, J. and Matar, O., “Laminar flow deformation of a droplet adhering to a wall in a channel”, Chemical Engineering Science, 65 (16), 4523 (2010).

[15]  Dussan, V., “On the ability of drops to stick to surfaces of solids, Part 3: The influences of the motion of the surrounding fluid on dislodging drops”, Journal of Fluid Mechanics, 174, 381 (1987).

[16]  Hao, L. and Cheng, P., “Lattice Boltzmann simulations of liquid droplet dynamic behavior on a hydrophobic surface of a gas flow channel”, Journal of Power Sources, 190 (2), 435 (2009).

[17]  Gupta, A. and Basu, S., “Deformation of an oil droplet on a solid substrate in simple shear flow”, Chemical Engineering Science, 63 (22), 5496 (2008).

[18]  Shan, X. and Chen, H., “Lattice Boltzmann model for simulating flows with multiple phases and components”, Physical Review, E, 47 (3), 1815 (1993).

[19]  Becker, J., Junk, M., Kehrwald, D., Thömmes, G. and Yang, Z., “A combined lattice bgk/level set method for immiscible two-phase flows”, Computers & Mathematics with Applications, 58 (5), 950 (2009).

[20]  Varmazyar, M. and Bazargan, M., “Modeling of free convection heat transfer to a supercritical fluid in a square enclosure by the lattice Boltzmann method”, Journal of Heat Transfer, 133 (2), 022501 (2011).

[21]  Bhatnagar, P. L., Gross, E. P. and Krook, M., “A model for collision processes in gases, I: Small amplitude processes in charged and neutral one-component systems”, Physical Review, 94 (3), 511 (1954).