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Effect of the mass-transfer intensity on the dynamic relations on a phase interface

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Abstract

The dynamic relations on the phase interface are derived in the isothermal approximation for liquids in which the dependence of the surface energy on the mass flux across the phase interface must be taken into account. The criterion of stability of subsonic phase-transition fronts with plane waves with respect to small perturbations is determined. The dependence of the surface tension on the mass flux is calculated for the well-known exact solution to the problem of the structure of isothermal phase transition within the framework of the generalized van der Waals model.

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References

  1. S.I. Anisimov, D.O. Dunikov, V.V. Zhakhovskii, and S.P. Malyshenko, “Properties of a Liquid-Gas Interface at High-Rate Evaporation,” Journ. Chem. Phys. 110, No. 17, 8722–8729 (1999).

    Article  ADS  Google Scholar 

  2. S.P. Malyshenko and D.O. Dunikov, “On the Surface Tension Corrections in Nonuniform and Nonequilibrium Gas-Liquid Systems,” Int. Journ. Heat and Mass Transfer 45, No. 26, 5201–5208 (2002).

    Article  MATH  Google Scholar 

  3. M. Bier, “Nonequilibrium Interfacial Tension during Relaxation,” Phys. Rev. E. 92, No. 4, 042128-1-10.

  4. D. Bedeaux, “Nonequilibrium Thermodynamics and Statistical Physics of Surfaces,” Adv. Chem. Phys., 64 (Wiley, N.Y., 1986), pp. 47–109.

    Google Scholar 

  5. J.C. Slattery, L.M.C. Sagis, and E.-S. Oh, Interfacial Transport Phenomena (Springer, N.Y., 2007).

    MATH  Google Scholar 

  6. L.I. Sedov, “Mathematical Methods for Construction of New Models of Continuum Media,” Uspekhi Matem. Nauk 20, No. 5, 121–180 (1965).

    MATH  Google Scholar 

  7. V.L. Berdichevsky, Variational Principles of Continuum Mechanics, Vols. 1 and 2 (Nauka, Moscow, 1983; Springer, 2009).

    MATH  Google Scholar 

  8. J.J.S. Rowlinson and B. Widom, Molecular Theory of Capillarity, Vol. 8 (Courier Dover Publications, 2002; Mir, Moscow, 1986).

    Google Scholar 

  9. L.M. Truskinovskii, “Dynamics of Nonequilibrium Phase Interfaces in a Heat-Conducting Nonlinearly Elastic Medium,” Prikl. Mat. Mekh. 51, No. 6, 1009–1019 (1987).

    MathSciNet  Google Scholar 

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Correspondence to A. V. Zhukov.

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Original Russian Text © A.V. Zhukov, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2017, Vol. 52, No. 1, pp. 140–147.

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Zhukov, A.V. Effect of the mass-transfer intensity on the dynamic relations on a phase interface. Fluid Dyn 52, 138–145 (2017). https://doi.org/10.1134/S0015462817010136

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