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Evolution of Free Surface in the Formation of Thermo-Solutocapillary Convection Within an Open Cavity

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Abstract

In order to understand the characteristics of free surface evolution in thermo-solutocapillary convection formation, a set of two-dimensional numerical simulations is conducted using level set method for thermo-solutocapillary convection in a rectangular cavity. The opposing thermocapillary effects equivalent to solutocapillary effects is considered. The computational results show that, the vortices first appear at the right side and travel to the left side gradually, and the flow field forms two comparable size vortices at final state. Meanwhile, the free surface deformation first increases and then decreases, and finally keeps a small constant deformation. Moreover, the effects of Marangoni number, Lewis number, Capillary number, aspect ratio and Prandtl number on the free surface evolution are analyzed.

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References

  • Bassano, E., Castagnolo, D.: Marangoni migration of a methanol drop in cyclohexane matrix in a closed cavity. Microgravity Sci. Tech. 14(1), 20–33 (2003)

    Article  Google Scholar 

  • Bergman, T.L.: Numerical simulation of double-diffusive Marangoni convection. Phys. Fluids 29, 2103–2108 (1986)

    Article  MATH  Google Scholar 

  • Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modeling surface tension. J. Comput. Phys 100(2), 335–354 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  • Chen, Z.W., Li, Y.S., Zhan, J.M.: Double-diffusive Marangoni convection in a rectangular cavity: onset of convection. Phys. Fluids 034106, 22 (2010)

    MATH  Google Scholar 

  • Chen, C.F., Chan, C.L.: Stability of buoyancy and surface tension driven convection in a horizontal double-diffusive fluid layer. Int. J. Heat Mass Transf. 53, 1563–1569 (2010)

    Article  MATH  Google Scholar 

  • Koster, J.N.: Early mission report on the four ESA facilities: Biorack; bubble, drop and particle unit; critical point facility and advanced protein crystallization facility flown on the IML-2 spacelab mission. Microgr. News from ESA 7, 2–7 (1994)

    Google Scholar 

  • Li, Y.S., Chen, Z.W., Zhan, J.M.: Double-diffusive Marangoni convection in a rectangular cavity: transition to chaos. Int. J. Heat Mass Transf. 53, 5223–5231 (2010)

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Ni, M.J., Komori, S., Abdou, M.: A variable-density projection method for interfacial flows. Numerical Heat Tran B 44, 553–574 (2003)

    Article  Google Scholar 

  • Sim, B.C., Kim, W.S., Zebib, A.: Dynamic free-surface deformations in axisymmetric liquid bridges. Adv. Space Res 34, 1627–1634 (2004)

    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 

  • Wang, J.F., Yang, C., Mao, Z.S.: Numerical simulation of Marangoni effects of single drops induced by interphase mass transfer in liquid-liquid extraction systems by the level set method. Sci. China Ser. B-Chem 51(7), 684–694 (2008)

    Article  Google Scholar 

  • Zhou, X.M., Huang, H.L.: Numerical simulation of steady thermocapillary convection in a two-layer system using level set method. Microgravity Sci. Technol 22, 223–232 (2010)

    Article  Google Scholar 

  • Zhou, X.M., Huai, X.M.: Free surface deformation of Thermo-Solutocapillary convection in axisymmetric liquid bridge. Microgravity Sci Technol 27, 39–47 (2015a)

    Article  Google Scholar 

  • Zhou, X.M., Huai, X.M.: Thermo-solutocapillary convection in open rectangular cavity with dynamic free surface. ASME J. Heat Transf. 137(082901), 1–9 (2015b)

    Article  Google Scholar 

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Acknowledgments

This work is supported by National Natural Science Foundation of China (Grant No.51206165).

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Correspondence to Xiaoming Zhou.

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Zhou, X., Liu, Z. & Huai, X. Evolution of Free Surface in the Formation of Thermo-Solutocapillary Convection Within an Open Cavity. Microgravity Sci. Technol. 28, 421–430 (2016). https://doi.org/10.1007/s12217-016-9492-y

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  • DOI: https://doi.org/10.1007/s12217-016-9492-y

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