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MHD Effect on Interfacial Deformation of Thermocapillary Convection in Two-Layer System

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Abstract

Effect of magnetic field on interfacial deformation of thermocapillary convection in a two-layer fluid system under microgravity condition is investigated. The upper layer fluid is silicon oil, the lower layer fluid is InBi. The dynamic conditions at free surface are implemented through the continuum surface force (CSF) model with the volume of fluid (VOF) method. The induction magnetic field method is used. The results show that, the interface bulges out at the hot end and bulges in at the cold end without magnetohydrodynamic (MHD) and the interface deformation is dominated by dynamic pressure. Under the influence of magnetic field, the interface deformability decreases with increasing of Hartmann number, and the interface deformation can be fully suppressed while the Hartmann number is enough large and the damping of magnetic field on the deformation of interface mainly concentrated at the region close to the interface.

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References

  • Anwar, H.M., Hafiz, M.Z., Rees, S.D.: Buoyancy and thermocapillary driven convection flow of an electrically conducting fluid in an enclosure with heat generation. Int. J. Therm. Sci. 44, 676–684 (2005)

    Article  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  MATH  MathSciNet  Google Scholar 

  • Branover, H.: Magnetohydrodynamics flow in duct. Israel University Press, Jerusalem (1978)

    Google Scholar 

  • Doi, T., Koster, J.N.: Thermocapillary convection in two immiscible liquid layers with free surface. Phys. Fluids. A. 5(8), 1914–1927 (1993)

    Article  MATH  Google Scholar 

  • Hamed, M., Floryan, J.M.: Marangoni convection. Part 1. A cavity with differentially heated sidewalls. J. Fluid Mech. 405, 79–110 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  • Huang, H.L., Han, D.: 3D MHD jet in a non-uniform magnetic field. Plasma Sci. Technol. 7, 3091–3095 (2005)

    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. Microgravity News ESA 7, 2–7 (1994)

    Google Scholar 

  • Kuhlmann, H.C.: Thermocapillary flows in finite size systems. Math. Comput. Modelling. 20, 145–173 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  • Langlois, W.E.: Buoyancy driven flows in crystal-growth melts. Ann. Rev. Fluid Mech. 17, 191–199 (1985)

    Article  Google Scholar 

  • Liu, Q.S., Roux, B., Velarde, M.G.: Thermocapillary convection in two-layer systems. Int J. Heat Mass Transf. 41, 1499–1511 (1998)

    Article  MATH  Google Scholar 

  • Saghir, M.Z., Abbaschian, R., Raman, R.: Numerical analysis of thermocapillary convection in axisymmetric liquid encapsulated InBi. J. Crys. Grow. 169, 110–117 (1996)

    Article  Google Scholar 

  • Yang, M., Ma, N.: Free convection in a liquid-encapsulated molten semiconductor in a vertical magnetic field. Int J. Heat Mass Transf. 48, 4010–4018 (2005)

    Article  Google Scholar 

  • Yildiz, E., Dost, S., Yildiz, M.: A numerical simulation study for the effect of magnetic fields in liquid phase diffusion growth of SiGe single crystals. J. Cryst. Grow. 291, 497–511 (2006)

    Article  Google Scholar 

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Correspondence to Hulin Huang.

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Zhou, X., Huang, H. MHD Effect on Interfacial Deformation of Thermocapillary Convection in Two-Layer System. Microgravity Sci. Technol. 22, 185–191 (2010). https://doi.org/10.1007/s12217-009-9173-1

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  • DOI: https://doi.org/10.1007/s12217-009-9173-1

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