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Journal of Materials Science

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01-02-2016 | HTC 2015

Underdamped capillary wave caused by solutal Marangoni convection in immiscible liquids

Authors: Fei Wang, Marouen Ben Said, Michael Selzer, Britta Nestler

Published in: Journal of Materials Science | Issue 4/2016

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Abstract

Using a Cahn–Hilliard–Navier–Stokes model with a capillary tensor to account for solutal Marangoni force, we observe an interfacial wave at the interface of two immiscible liquids. A Fourier analysis shows that the interfacial wave is induced by oscillatory modes of solutal Marangoni convection. A critical Marangoni number is defined above which the oscillatory modes of solutal Marangoni convection are able to occur. This material property is a function of the wave number for different Cahn numbers and is determined from numerical simulations.

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Bush JWM (2004) Surface tension module. MIT OpenCourseWare, Cambridge

Wierschem A, Velarde MG, Linde H, Waldhelm W (1999) Interfacial wave motions due to Marangoni instability: II. Three-dimensional characteristics of surface waves in annular containers. J Colloid Interface Sci 212:365–383CrossRef

Linde H, Velarde MG, Waldhelm W, Wierschem A (2001) Interfacial wave motions due to Marangoni instability: III. Solitary waves and (periodic) wave trains and their collisions and reflections leading to dynamic network (cellular) patterns in large containers. J Colloid Interface Sci 236:214–224CrossRef

Wierschem A, Linde H, Velarde MG (2000) Internal waves excited by the Marangoni effect. Phys Rev E 62:6522CrossRef

Linde H, Velarde MG, Waldhelm W, Loeschcke K, Wierschem A (2005) On the various wave motions observed at a liquid interface due to Marangoni stresses and instability. Ind Eng Chem Res 44:1396–1412CrossRef

Michallet H, Barthelemy E (1998) Experimental study of interfacial solitary waves. J Fluid Mech 366:159–177CrossRef

Sternling CV, Scriven LE (1959) Interfacial turbulence: hydrodynamic instability and the Marangoni effect. AIChE J 5:514–523CrossRef

Reichenbach J, Linde H (1981) Linear perturbation analysis of surface-tension-driven convection at a plane interface (Marangoni instability). J Colloid Interface Sci 84:433–443CrossRef

Cahn JW, Hilliard JE (1958) Free energy of a nonuniform system. I. Interfacial free energy. J Chem Phys 28:258–267CrossRef

10.

Wang F, Choudhury A, Selzer M, Mukherjee R, Nestler B (2012) Effect of solutal Marangoni convection on motion, coarsening, and coalescence of droplets in a monotectic system. Phys Rev E 86:066318CrossRef

11.

Goldstein H, Poole C, Safko J (2001) Classical mechanics. Addison Wesley, New York

12.

Wheeler AA, McFadden GB (1997) On the notion of a \(\xi \)-vector and a stress tensor for a general class of anisotropic diffuse interface models. Proc Roy Soc A 453:1611–1630CrossRef

13.

Liu H, Zhang Y, Valocchi AJ (2012) Modeling and simulation of thermocapillary flows using lattice Boltzmann method. J Comput Phys 231:4433–4453CrossRef

14.

Langer JS (1980) Instability and pattern formation in crystal growth. Rev Mod Phys 52:1–28CrossRef

15.

Derby B, Favier JJ (1983) A criterion for the determination of monotectic structure. Acta Metall 31:1123–1130CrossRef

16.

Egry I, Ratke L, Kolbe M, Chatain D, Curiotto S, Battezzati L, Johnson E, Pryds N (2010) Interfacial properties of immiscible Co–Cu alloys. J Mater Sci 45:1979–1985. doi:10.1007/s10853-009-3890-0 CrossRef

17.

Kaptay G (2008) A Calphad-compatible method to calculate liquid/liquid interfacial energies in immiscible metallic systems. Calphad 32:338–352CrossRef

18.

Mendelev MI, Mishin Y (2009) Molecular dynamics study of self-diffusion in bcc Fe. Phys Rev B 80:144111CrossRef

19.

Assael MJ et al (2010) Reference data for the density and viscosity of liquid copper and liquid tin. J Phys Chem Ref Data 39:033105CrossRef

20.

Griebel M, Dornseifer T, Neunhoeffer T (1997) Numerical simulation in fluid dynamics: a practical introduction. Society for Industrial and Applied Mathematics, Philadelphia

21.

Moin P (2010) Fundamentals of engineering numerical analysis. Cambridge University Press, New YorkCrossRef

22.

Gibbs JW (1957) The collected works of J. Willard Gibbs. Yale University Press, New York

23.

Chattoraj DK, Birdi KS (1984) Adsorption and the Gibbs surface excess. Plenum Press, New YorkCrossRef

Title: Underdamped capillary wave caused by solutal Marangoni convection in immiscible liquids
Authors: Fei Wang
Marouen Ben Said
Michael Selzer
Britta Nestler
Publication date: 01-02-2016
Publisher: Springer US
Published in: Journal of Materials Science / Issue 4/2016
Print ISSN: 0022-2461
Electronic ISSN: 1573-4803
DOI: https://doi.org/10.1007/s10853-015-9600-1

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