Thermocapillary Convection in a Floating Half Zone

Abstract:

A numerical simulation has been conducted to investigate the effect of the external vibration referred to as g-jitter on the marangoni convection in liquid bridge of high Pr number fluid by taking both the dynamic free surface deformation and ambient air effects into consideration. The Navier-Stokes equations coupled with the energy conservation equation are solved on a staggered grid, and the free surface deformation is captured by introducing the mass conserving level set approach. The pressure distributions within the liquid bridge under external vibrations were investigated, and the results show that the pressure in liquid bridge presents periodic oscillation under external vibration. The closer to the hot disk, the greater the relative pressure value is. Moreover, the surface deformation and the surface amplitude under external vibration were investigated as well.

• Periodical: Applied Mechanics and Materials (Volume 248)
• Pages: 218-223
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.248.218
• Online since: December 2012
• Authors: Ru Quan Liang, Wen Jun Duan, Guang Dong Duan, Ja Ba
• Keywords: External Vibration, High Prandtl Number, Liquid Bridge, Thermocapillary Convection

References

[1] Y. Zhang, J. Alexander, Sensitivity of liquid bridges subject to axial residual acceleration, J. Physics of Fluids A: Fluid Dynamics. 2 (1990) 1966-(1974).

DOI: 10.1063/1.857672

[2] J. A. Nicolas, J. M. Vega, Weakly nonlinear oscillations of nearly inviscid axisymmetric liquid bridges, J. Fluid. Mech. 328 (1996) 95-128.

DOI: 10.1017/s002211209600866x

[3] C. P. Lee, A. V. Anilkumar, T. G. Wang, Streaming generated in a liquid bridge due to nonlinear oscillations driven by the vibration of an endwall, J. Physics of Fluids A: Fluid Dynamics. 8 (1996) 3234-3246.

DOI: 10.1063/1.869114

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

DOI: 10.1016/s0045-7930(01)00078-0

[5] Y. Kanashima, K. Nishino, S. Yoda, Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions, J. Microgravity Sci. Technol. 16 (2005) 285-289.

DOI: 10.1016/s0045-7930(01)00078-0

[6] R. Q. Liang, M. Kawaji, Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions, J. Microgravity Sci. Technol. 21 (2009) 31-37.

DOI: 10.1016/s0045-7930(01)00078-0

[7] S. Osher and J. Sethian, Fronts propagating with curvature dependent speed: algorithms based on hamilton-jacobi formulations, J. Computational. Phys. 79 (1988) 54-63.

DOI: 10.1016/0021-9991(88)90002-2

[8] M. Sussman, P. Smereka, S. Osher, A level set approach for computing solutions to incompressible two-phase flow , J. Computational. Phys. 114 (1994) 146-159.

DOI: 10.1006/jcph.1994.1155

[9] R.Q. Liang, Z.Q. Liao, W. Jiang, G.D. Duan, J.Y. Shi, P. Liu, Numerical simulation of water droplets falling near a wall: existence of wall repulsion, J. Microgravity Sci. Technol. 23 (2011a) 59-65.

DOI: 10.1007/s12217-010-9230-9

[10] R.Q. Liang Z.Q. Liao, S. Liang, Solving dam break problem considering wall adhesion, J. Microgravity Sci. Technol. 23 (2011b) 49-57.

DOI: 10.1007/s12217-010-9229-2