Fluid Dynamics

, Volume 5, Issue 4, pp 651–655 | Cite as

Heat transfer in a thin layer of a viscous heavy noncompressible liquid under wavy flow conditions

  • V. G. Sokolov


The article describes a method for calculating the flow of heat through a wavy boundary separating a layer of liquid from a layer of gas, under the assumption that the viscosity and heat-transfer coefficients are constant, and that a constant temperature of the fixed wall and a constant temperature of the gas flow are given. A study is made of the equations of motion and thermal conductivity (without taking the dissipation energy into account) in the approximations of the theory of the boundary layer; the left-hand sides of these equations are replaced by their averaged values over the layer. These equations, after linearization, are used to determine the velocity and temperature distributions. The qualitative aspect of heat transfer in a thin layer of viscous liquid, under regular-wavy flow conditions, is examined. Particular attention is paid to the effect of the surface tension coefficient on the flow of heat through the interface.


Viscosity Heat Transfer Boundary Layer Thermal Conductivity Surface Tension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


x, y

coordinates of a liquid particle



v and u

coordinates of the velocity vector of the liquid


pressure in the liquid

cv, и, T,ρ, andv

heat capacity, thermal conductivity coefficient, temperature, density, and viscosity of the liquid, respectively


acceleration due to gravity


surface-tension coefficient


phase velocity of the waves at the interface


wall temperature


thickness of the liquid layer


velocity of the liquid over the layer


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Literature cited

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Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • V. G. Sokolov
    • 1
  1. 1.Moscow

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