Skip to main content
SpringerLink
Log in

Diffusion-controlled evaporation of a moving droplet

  • Published:
Journal of engineering physics Aims and scope

Abstract

The problem of the quasisteady diffusion-controlled evaporation of a droplet moving in a viscous medium is solved numerically. The relative values of the droplet radius and velocity are determined, along with the total droplet evaporation time and the mass-transfer characteristics of the droplet and the medium.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

R:

droplet radius

t:

time

D:

diffusion coefficient

ρ :

density

Cs :

mass concentration of saturated vapor

C∞ :

mass concentration of vapor far from the droplet

C=(C′−C∞)/ (Cs−C∞):

dimensionless vapor concentration

(r, θ, ϕ):

spherical coordinates

Re=2RU/ν:

Reynolds number

Sc=ν/D:

Schmidt number

Sh:

Sherwood number

T=tD/R2 :

dimensionless time

Cx :

coefficient of fluid friction

m:

mass of the droplet

T:

total droplet evaporation time

μ:

ratio of dynamic viscosities inside and outside the droplet

Q:

masstransfer intensity factor

Literature cited

  1. N. A. Fuks, Evaporation and Growth of Droplets in a Gaseous Medium [in Russian], Izd. Akad. Nauk SSSR, Moscow (1958).

    Google Scholar 

  2. Yu. M. Grigor'ev, B. I. Khaikin, N. M. Troyan, and A. G. Merzhanov, “Theory of droplet evaporation in a stationary medium,” in: Heat and Mass Transfer [in Russian], Vol. 2, Minsk (1968), pp. 358–366.

    Google Scholar 

  3. J. Hubbart, V. Dennis, and A. Mills, “Droplet evaporation: effect of transients and variable properties,” Int. J. Heat Mass Transfer,18, 1003–1006 (1975).

    Google Scholar 

  4. S. V. Ananikov and A. V. Talanov, “Evaporation of a fuel droplet in a laminar gas flow,” Fiz. Goreniya Vzryva,9, No. 6, 849–855 (1973).

    Google Scholar 

  5. V. Ya. Rivkind and G. M. Ryskin, “Flow structure in the motion of a spherical droplet in a fluid medium in the interval of transition Reynolds numbers,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 8–15 (1976).

    Google Scholar 

  6. V. Ya. Rivkind, G. M. Ryskin, and G. A. Fishbein, “Motion of a spherical droplet in a viscous fluid flow,” Inzh.-Fiz. Zh.,20, No. 6, 1027–1035 (1971).

    Google Scholar 

  7. V. Ya. Rivkind, “Approximate methods for the solution of certain mass-transfer problems with chemical reaction,” in: Theoretical Foundations of Chemical Technology [in Russian], GIPKh, Leningrad (1975), pp. 40–48.

    Google Scholar 

  8. B. I. Brounshtein and G. A. Fishbein, Hydrodynamics and Mass and Heat Transfer in Disperse Systems [in Russian], Khimiya, Leningrad (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. A. A. Zhdanov Leningrad State University, USSR

    V. Ya. Rivkind & G. S. Sigovtsev

Authors
  1. V. Ya. Rivkind
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. S. Sigovtsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 4, pp. 739–744, October, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rivkind, V.Y., Sigovtsev, G.S. Diffusion-controlled evaporation of a moving droplet. Journal of Engineering Physics 39, 1151–1155 (1980). https://doi.org/10.1007/BF00822155

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00822155

Keywords

Search

Navigation