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The Influence of the Gravity Force on Longwave Marangoni Patterns in Two-Layer Films

  • Topical Issue Two-Phase Systems Italy
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Abstract

The effect of gravity on the dynamics of non-isothermic ultra-thin two-layer films is studied. The problem is considered in a longwave approximation. Periodic boundary conditions have been applied on the boundaries of the computational region. The problem is solved by means of a linear stability theory and nonlinear simulations. Nonlinear wavy regimes, including two-dimensional and three-dimensional traveling waves, as well as different kinds of three-dimensional standing waves, have been studied.

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References

  • Bandyopadhyay, D., Sharma, A.: Nonlinear instabilities and pathways of rupture in thin liquid bilayers. J. Chem. Phys. 125, 054711 (2006)

    Article  Google Scholar 

  • Bandyopadhyay, D., Gulabani, R., Sharma, A.: Instability and dynamics of thin liquid bilayers. Ind. Eng. Chem. Res. 44, 1259 (2005)

    Article  Google Scholar 

  • Davis, S.H.: Thermocapillary instabilities. Annu. Rev. Fluid Mech. 19, 403 (1987)

    Article  MATH  Google Scholar 

  • Fisher, L.S., Golovin, A.A.: Nonlinear stability analysis of a two-layer thin liquid film: dewetting and autophobic behavior. J. Colloid Interface Sci. 291, 515 (2005)

    Article  Google Scholar 

  • Israelachvili, J.N.: Intermolecular and Surface Forces. Academic, New York (1992)

    Google Scholar 

  • Nepomnyashchy, A.A., Simanovskii, I.B.: Marangoni instability in ultrathin two-layer films. Phys. Fluids 19, 122103 (2007)

    Article  Google Scholar 

  • Nepomnyashchy, A.A., Simanovskii, I.B., Legros, J.C.: Interfacial Convection in Multilayer Systems. Springer, New York (2006)

    MATH  Google Scholar 

  • Oron, A., Davis, S.H., Bankoff, S.G.: Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69, 931 (1997)

    Article  Google Scholar 

  • Pototsky, A., Bestehorn, M., Merkt, D., Thiele, U.: Alternative pathways of dewetting for a thin liquid two-layer film. Phys. Rev. E 70, 025201 (2004)

    Article  Google Scholar 

  • Pototsky, A., Bestehorn, M., Merkt, D., Thiele, U.: Morphology changes in the evolution of liquid two-layer films. J. Chem. Phys. 122, 224711 (2005)

    Article  Google Scholar 

  • Pototsky, A., Bestehorn, M., Merkt, D., Thiele, U.: Evolution of interface patterns of three-dimensional two-layer liquid films. Europhys. Lett. 74, 665 (2006)

    Article  Google Scholar 

  • Simanovskii, I.B., Nepomnyashchy, A.A.: Convective Instabilities in Systems with Interface. Gordon and Breach, London (1993)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Technion—Israel Institute of Technology, 32000, Haifa, Israel

    Alexander Nepomnyashchy & Ilya Simanovskii

  2. Minerva Center for Nonlinear Physics of Complex Systems, Technion—Israel Institute of Technology, 32000, Haifa, Israel

    Alexander Nepomnyashchy

Authors
  1. Alexander Nepomnyashchy
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  2. Ilya Simanovskii
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Correspondence to Ilya Simanovskii.

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Nepomnyashchy, A., Simanovskii, I. The Influence of the Gravity Force on Longwave Marangoni Patterns in Two-Layer Films. Microgravity Sci. Technol. 23 (Suppl 1), 1–7 (2011). https://doi.org/10.1007/s12217-011-9262-9

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  • DOI: https://doi.org/10.1007/s12217-011-9262-9

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