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Contribution to the dynamics of a deformable interface between two immiscible electromagnetically controllable fluids

Author

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  • Vanhaelen, Q.
  • Hennenberg, M.
  • Slavtchev, S.
  • Weyssow, B.

Abstract

We consider the case of a deformable material interface between two immiscible moving media, both of them being magnetizable, stressing the time dependence of the metric at the interface. This introduces a nonlinear term, proportional to the mean curvature, in the surface dynamical equations of mass momentum and angular momentum. That term intervenes also in the singular magnetic and electric fields inside the interface which lead to the influence of currents and charge densities at the interface. Also, we give the expression for the entropy production and of the different thermodynamical fluxes.

Suggested Citation

  • Vanhaelen, Q. & Hennenberg, M. & Slavtchev, S. & Weyssow, B., 2010. "Contribution to the dynamics of a deformable interface between two immiscible electromagnetically controllable fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5061-5076.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:5061-5076
    DOI: 10.1016/j.physa.2010.06.052
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    References listed on IDEAS

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    1. Albano, A.M. & Bedeaux, D. & Vlieger, J., 1980. "On the description of interfacial electromagnetic properties using singular fields, charge density and currents at a dividing surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 105-119.
    2. Kovac, J., 1977. "Non-equilibrium thermodynamics of interfacial systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(1), pages 1-24.
    3. Albano, A.M. & Bedeaux, D. & Vlieger, J., 1979. "On the description of interfacial properties using singular densities and currents at a dividing surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 293-304.
    4. Wolff, P.A. & Albano, A.M., 1979. "Non-equilibrium thermodynamics of interfaces including electromagnetic effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(3), pages 491-508.
    5. Kovac, Jeffrey, 1981. "Non-equilibrium thermodynamics of interfacial systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 280-298.
    6. Albano, A.M. & Bedeaux, D., 1987. "Non-equilibrium electro-thermodynamics of polarizable multicomponent fluids with an interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 407-435.
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    Cited by:

    1. Vanhaelen, Quentin, 2018. "Entropy production, thermodynamic fluxes and transport coefficients of an interface between two electromagnetic fluids with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 949-968.

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