Abstract
A numerical simulation for a bubble motion near a wall under microgravity, relevant to material processing such as crystal growth in space, is presented based on a mass conservation level set algorithm to predict the bubble behavior affected by the near wall. The simulation for the wall effect on the bubble driven by an external acceleration parallel with the near wall referred to as g-jitter confirms for the first time the existence of the wall attractive force to the bubble near the wall under certain conditions such as the initial distance between the bubble and the wall, density and viscosity ratios between the bubble and surrounding liquid under microgravity. The wall effect mechanism is explained, and the results show that the wall attractive force increases with the increasing of density ratio. Moreover, the simulation for the wall repulsive effect on the bubble near the wall under microgravity has been carried out as well.
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Bunner, B., Tryggvason, G.: Dynamics of homogeneous bubbly flows. Part 1. Rise velocity and microstructure of the bubbles. J. Fluid Mech. 466, 17–52 (2002)
Christov, C.I., Volkov, P.K.: Numerical investigation of the steady viscous f1ow past a stationary deformable bubble. J. Fluid Mech. 158, 341–364 (1985)
Esmaeeli, A., Tryggvason, G.: Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays. J. Fluid Mech. 377, 313–345 (1998)
Esmaeeli, A., Tryggvason, G.: Direct numerical simulations of bubbly flows. Part 2. Moderate Reynolds number arrays. J. Fluid Mech. 385, 325–358 (1999)
Kawaji, M., Liang, R.Q., Nasr-Esfahany, M., Simic-Stefani, S., Yoda, S.: The effect of small vibrations on Marangoni convection and the free surface of a liquid bridge. Acta Astronautica 58, 622–639 (2006)
Kim, I., Elghobashi, S., Sirignano, W.A.: Three-dimensional flow over two spheres placed side by side. J. Fluid Mech. 246, 465–488 (1993)
Kumaran, V., Koch, D.L.: The effect of hydrodynamic interactions on the average properties of a bidisperse suspension of high Reynolds number, low Weber number bubbles. Phys. Fluids A 5, 1123–1134 (1993)
Legendre, D., Magnaudet, J., Mougin, G.: Hydrodynamic interactions between two spherical bubbles rising side by side in a viscous liquid. J. Fluid Mech. 497, 133–166 (2003)
Liang, R.Q., Chen, Z.: Dynamics for droplets in normal gravity and microgravity. Microgravity Sci. Technol. 21, 247–254 (2009)
Liang, R.Q., Kawaji, M.: Surface oscillation of a liquid bridge induced by single and multiple vibrations. Microgravity Sci. Technol. 21, 31–37 (2009)
Magnaudet, J., Eames, I.: The motion of high-Reynolds-number bubbles in homogeneous flows. Annu. Rev. Fluid Mech. 32, 659–708 (2000)
Ni, M.J., Komori, S., Morley, N.B.: Direct simulation of falling droplet in a closed channel. Int. J. Heat Mass Transfer 49, 366–376 (2006)
Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton–Jacobi formulations. Comput. Phys. 79(1), 12–49 (1988)
Sussman, M., Smereka, P., Osher, S.: A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114, 146–159 (1994)
Takemura, F., Magnaudet, J.: The transverse force on a clean or contaminated bubble rising near a vertical wall at moderate Reynolds number. J. Fluid Mech. 495, 235–253 (2003)
Tal, T.R., Lee, D.N., Sirignano, W.A.: Heat and momentum transfer around a pair of spheres in viscous flow. Int. J. Heat Mass Transfer 27, 1253–1262 (1984)
Yuan, H., Prosperetti, A.: On the in-line motion of two spherical bubbles in a viscous fluid. J. Fluid Mech. 278, 325–349 (1994)
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Liang, R., Liang, D., Yan, F. et al. Bubble Motion near a Wall Under Microgravity: Existence of Attractive and Repulsive Forces. Microgravity Sci. Technol. 23, 79–88 (2011). https://doi.org/10.1007/s12217-010-9238-1
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DOI: https://doi.org/10.1007/s12217-010-9238-1