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The surface shear viscosity of a planar liquid-vapor interface I. Theory

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  • Sagis, Leonard M.C.
  • Bedeaux, Dick

Abstract

In this paper we develop a theory for the calculation of the surface shear viscosity of a planar liquid-vapor interface. The theory is an extension of the generalized hydrodynamics formalism, originally developed for the calculation of linear transport coefficients in isotropic bulk fluids. We develop an expression for the surface shear viscosity in terms of the actual shear viscosity profile in the interfacial region. We derive an expression for this profile in terms of the first four moments of the autocorrelation function of the transverse parallel velocity (the component of velocity parallel to k∥, which is the projection of k on to the interface). Finally, we calculate these moments for a planar liquid-vapor interface.

Suggested Citation

  • Sagis, Leonard M.C. & Bedeaux, Dick, 1996. "The surface shear viscosity of a planar liquid-vapor interface I. Theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 437-454.
    • Handle: RePEc:eee:phsmap:v:230:y:1996:i:3:p:437-454
    DOI: 10.1016/0378-4371(96)00071-4
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    1. Schechter, Alan H., 1970. "Cooperative Lobbying—The Power of Pressure. By Donald R. Hall. (Tucson: The University of Arizona Press, 1969. Pp. 347, $8.50.)," American Political Science Review, Cambridge University Press, vol. 64(2), pages 633-634, June.
    2. Penteado, José Roberto Whitaker, 1965. "Do significado na comunicação humana," RAE - Revista de Administração de Empresas, FGV-EAESP Escola de Administração de Empresas de São Paulo (Brazil), vol. 5(17), December.
    3. R. D. Milbourne & P. Buckholtz & M. T. Wasan, 1983. "A Theoretical Derivation of the Functional Form of Short Run Money Holdings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 531-541.
    4. Hazel, R.D. & Langevine, L.P., 1994. "Flat plate collector utilizability for Guyana," Renewable Energy, Elsevier, vol. 4(4), pages 437-439.
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