Abstract
This paper studies thermocapillary vortices induced by local heating of a bubble surface in a Hele-Shaw cell by a light beam. It is found that the vortex rotation frequency and its depth depend on the distance from the light-beam projection onto the layer to the bubble boundary. The surface velocity of the thermocapillary flow is calculated using the balance of the near-surface and return flows of the thermocapillary vortex and the equality of capillary and dynamic pressures. It is shown that a decrease in the surface velocity and the vortex rotation frequency with increase in the distance from the light beam to the bubble surface is due to a decrease in the temperature gradient between the illuminated and cold poles of the bubble.
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REFERENCES
G. I. Taylor and P. G. Saffman, “A note of the motion of bubbles in a Hele-Shaw cell and porous medium,” Quart. J. Mech. Appl. Math., 12, 265 (1959).
A. R. Kopf-Sill and G. M. Homsy “Bubble motion in a Hele-Shaw cell,” Phys. Fluids, 31, No.1, 18–26 (1988).
C. W. Park, S. K. Maruvada, and D. Y. Yoon, “The influence of surfactant on the bubble motion in Hele-Shaw cells,” Phys. Fluids, 6, No.10, 3267–3275 (1994).
T. Maxworthy, “Bubble formation, motion and interaction in a Hele-Shaw cell,” J. Fluid Mech., 173, 95 (1986).
T. K. Jun and C. J. Kim, “Valveless pumping using traversing vapor bubbles in microchannels,” J. Appl. Phys., 83, No.11, 5658–5664 (1998).
D. D. Cunningham, “Fluidics and sample handling in clinical chemical analysis,” Anal. Chim. Acta, No. 429, 1–18 (2001).
A. Faghri, Heat Pipe Science and Technology, Tylor and Francis Washington, D. C. (1995).
N. O. Young, J. S. Goldstein, and M. J. Block, “The motion of bubbles in a vertical temperature gradients,” J. Fluid Mech., 6, No.3, 350–356 (1959).
A. Mazouchi and G. M. Homsy, “Thermocapillary migration of long bubbles in polygonal tubes, I. Theory,” Phys. Fluids, 13, No.6, 1594–1600 (2001).
E. Lajeunesse and G. M. Homsy, “Thermocapillary migration of long bubbles in polygonal tubes II. Experiments,” Phys. Fluids, 5, No.2, 308–314 (2003).
B. A. Bezuglyi, “Capillary convection controlled by the thermal action of light and its use in information recording,” Doct. Dissertation (1983).
B. A. Bezuglyi and N. A. Ivanova, “Manipulation of a gas bubble in a Hele-Shaw cell using a light beam,” Pis’ma Zh. Tekh. Fiz., 28, No.19, 71–75 (2002).
B. A. Bezuglyi, O. A. Tarasov, and A. A. Fedorets, “Modified method of an inclined plate for measuring the limiting wetting angle,” Kolloid. Zh., 6, 735–741 (2001).
G. Wozniak, R. Balasubramaniam, P. H. Hadland, and R. S. Subramanian, “Temperature fields in a liquid due to the thermocapillary motion of bubbles and drops,” Exp. Fluids, No. 31, 84–89 (2001).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 93–99, September–October, 2005.
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Ivanova, N.A., Bezuglyi, B.A. Thermocapillary Vortices Induced by a Light Beam near a Bubble Surface in a Hele-Shaw Cell. J Appl Mech Tech Phys 46, 691–696 (2005). https://doi.org/10.1007/s10808-005-0125-2
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DOI: https://doi.org/10.1007/s10808-005-0125-2