Journal of engineering physics

, Volume 39, Issue 4, pp 1043–1046 | Cite as

Heat exchange in a draining liquid film in the initial thermal part

  • V. M. Sobin


An approximate solution of the heat-transfer problem in a draining liquid film with a parabolic velocity profile and boundary conditions of the second kind is given.


Boundary Condition Statistical Physic Approximate Solution Velocity Profile Heat Exchange 
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dimensionless temperature


temperature of the liquid at the entrance

Θ1, Θ2

dimensionless temperature of the wall and free surface


dimensionless average temperature of the liquid over the transverse cross section of the film


density of the heat flow on the wall

ξ=(x/δ)Pe, η=y/δ

dimensionless coordinates


thickness of the film


Peclet criterion


velocity on the free surface


thermal conductivity and thermal diffusivity of the liquid


thickness of the thermal boundary layer

n1, n2

parameters of the temperature profile in the first and second stages of the process

Nu=aδ/λ, <Nu>=<a>δ/λ

local and average Nusselt numbers

α, <a>

local and average heat-transfer coefficients


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Literature cited

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    E. G. Vorontsov and Yu. M. Tananaiko, Heat Exchange in Liquid Films [in Russian], Tekhnika, Kiev (1972).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • V. M. Sobin
    • 1
  1. 1.S. M. Kirov Belorussian Technological InstituteMinsk

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