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Thermocapillary Convection and Surface Fluctuation in a Liquid Bridge under Lateral Vibrations

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Abstract

An investigation on the effect of lateral vibrations on the thermocapillary convection and the surface behavior of a liquid bridge for high Prandtl number fluid has been conducted numerically. The Navier-Stokes equations coupled with the energy conservation equation were solved on a staggered grid, and the mass conserving level set approach was used to capture the free surface deformation of the liquid bridge. The present results show that the positions of the vortex centers in the radial and axial directions fluctuate periodically around the equilibrium positions when the external vibration is applied. The surface velocity without lateral vibration is larger than that with lateral vibrations, which means that the lateral vibrations inhibit the surface flow.

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References

  • Anilkumar, A.V., Grugel, R.N., Shen, X.F., Lee, C.P., Wang, T.G.: Control of thermocapillary convection in a liquid bridge by vibration. J. Appl. Phys. 73, 4165–4170 (1993)

    Article  Google Scholar 

  • Ichikawa, N., Kawaji, M., Misawa, M., Psofogiannakis, G.: Resonance behavior of a liquid bridge caused by horizontal vibrations. J. J.p. Soc. Microgravity Applica. 20, 292–299 (2003)

    Google Scholar 

  • Kanashima, Y., Nishino, K., Yoda, S.: Effect of g-jitter on the thermocapillary convection experiment in ISS. Microgravity Sci. Technol. 16, 285–289 (2005)

    Article  Google Scholar 

  • Kamotani, Y., Wang, A., Yoda, S.: Investigation of free surface heat transfer effect and oscillation mechanisms for thermocapillary flow of high prandtl number fluid. In: Japan Aerospace Exploration Agency (ed.) Marangoni Convectin Modeling Research, JAXA Research and Development Report, JAXA-RR-04-027E, Japan, pp. 11–24 (2005)

  • 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, 622632 (2006)

    Article  Google Scholar 

  • Lyubimov, D., Lyubimova, T., Roux, B.: Mechanisms of vibrational control of heat transfer in a liquid bridge. Int. J. Heat Mass Transfer 40, 4031–4042 (1997)

    Article  MATH  Google Scholar 

  • Lyubimov, D.V., Lyubimova, T.P., Skuridin, R.V., Chen, G., Roux, B.: Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions. Comput. Fluids 31, 663–682 (2002)

    Article  MATH  Google Scholar 

  • Liang, R.Q., Kawaji, M.: Surface oscillation of a liquid bridge induced by single and multiple vibrations. Microgravity Sci. Technol. 21, 31–37 (2009)

    Article  Google Scholar 

  • Mulder, W., Osher, S., Sethian, J.A.: Computing interface motion in compressible gas dynamics. J. Comput. Phys. 100, 209–228 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  • Nicolás, J.A., Vega, J.M.: Weakly nonlinear oscillations of nearly inviscid axisymmetric liquid bridges. J. Fluid. Mech. 328, 95–128 (1996)

    Article  MATH  Google Scholar 

  • Osher, S., Sethian, J.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12–49 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • Sanz, A., Diez, J.L.: Non-axisymmetric oscillations of liquid bridges. J. Fluid Mech. 205, 503–521 (1989)

    Article  Google Scholar 

  • 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)

    Article  MATH  Google Scholar 

  • Tang, H., Hu, W.R.: Effects of high frequency vibration on critical marangoni number. Adv. Space Res. 16, 71–74 (1995)

    Article  Google Scholar 

  • Zhang, Y., Alexander, J.: Sensitivity of liquid bridges subject to axial residual acceleration. Phys. Fluids A Fluid Dyn. 2, 1966–1974 (1990)

    Article  MATH  Google Scholar 

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Acknowledgments

The present work is supported financially by the National Natural Science Foundation of China under the grants of 51376040 and 11072057.

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Correspondence to Ruquan Liang.

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Yang, S., Liang, R., Yan, F. et al. Thermocapillary Convection and Surface Fluctuation in a Liquid Bridge under Lateral Vibrations. Microgravity Sci. Technol. 27, 1–10 (2015). https://doi.org/10.1007/s12217-014-9407-8

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  • DOI: https://doi.org/10.1007/s12217-014-9407-8

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