Skip to main content
Log in

Heat and mass transfer on a liquid-vapor interface

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The relations for the temperature, velocity, and pressure fields on the interface between two regions occupied by a liquid and its vapor are derived from the balance laws. In contrast to the traditional relations, the relations obtained contain additional terms, responsible for certain physical phenomena on the interface and usually neglected in the force and energy flux balances. The problem of evaporation of a liquid layer is considered. An exact solution of this problem is constructed in the one-dimensional formulation. The evaporation rate is calculated for a specific liquid.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R.I. Nigmatulin, Dynamics of Multiphase Media. V. 1 (Hemisphere, Washington, 1990).

    Google Scholar 

  2. R.I. Nigmatulin, Dynamics of Multiphase Media. V. 2 (Hemisphere, Washington, 1990).

    Google Scholar 

  3. I.O. Protod’yakonov and I.E. LyublinskayaHydrodynamics andMass Transfer in Gas-Liquid Systems [in Russian] (Nauka, Leningrad, 1990).

    Google Scholar 

  4. K. Fukagata, N. Kasagia, P. Ua-Arayaporn, et al. “Numerical Simulation of Gas-Liquid Two-Phase Flow and Convective Heat Transfer in a Microtube,” Int. J. Heat Fluid Flow 28(1), 72–82 (2007).

    Article  Google Scholar 

  5. A. Biesheuvel and L. Van Wijngaarden, “Two-Phase Flow Equations for a Dilute Dispersion of Gas Bubbles in Liquid,” J. Fluid Mech. 148, 301–318 (1984).

    Article  ADS  MATH  Google Scholar 

  6. A.V. Kozyrev and A.G. Sitnikov, “Evaporation of a Spherical Droplet in a Moderate-Pressure Gas,” Usp. Fiz. Nauk 171(7), 765–774 (2001).

    Article  Google Scholar 

  7. N.E. Kochin, “Towards a Theory of Discontinuities in a Fluid,” in: Collection of Works [in Russian] (Izd. AN USSR, Moscow, Leningrad, 1949).

    Google Scholar 

  8. G.G. Chernyi, “Laminar Motions of a Gas and a Fluid in a Boundary Layer with a Surface of Discontinuity,” Izv. Akad. Nauk USSR, OTN (12), 38–67 (1954).

  9. G.G. Chernyi, “Boundary Layer with a Surface of Discontinuity. Flow Past a Plate with Fluid Leaking through the Surface,” Dokl. Akad. Nauk (100)(5), 867–870 (1955).

    Google Scholar 

  10. L.G. Napolitano, “Thermodynamics and Dynamics of Pure Interfaces,” Acta Astronaut. 5(9), 655–670 (1978).

    Article  MATH  Google Scholar 

  11. V.V. Pukhnachev,Motion of a Viscous Fluid with Free Surfaces [in Russian] (Izd. Novosibirsk State Univ., Novosibirsk, 1989).

  12. K.S. Das and C.A. Ward, “Surface Thermal Capacity and Its Effects on the Boundary Conditions at Fluid-Fluid Interface,” Phys. Rev. E 75(065303 (R)), 1–4 (2007).

    Google Scholar 

  13. Handbook of Chemist. V. 1. [in Russian] (Khimiya, Moscow, 1966).

  14. Tables of Physical Quantities. Handbook (Ed. I.K. Kikoin) [in Russian] (Atomizdat, Moscow, 1976).

    Google Scholar 

  15. N.E. Kochin, I.A. Kibel’, and N.V. Roze, Theoretical Hydromechanics. V. 2 [in Russian] (Fizmatgiz, Moscow, 1963).

    Google Scholar 

Download references

Authors

Additional information

Original Russian Text © V.V. Kuznetsov, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 5, pp. 97–107.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuznetsov, V.V. Heat and mass transfer on a liquid-vapor interface. Fluid Dyn 46, 754–763 (2011). https://doi.org/10.1134/S0015462811050097

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462811050097

Keywords

Navigation