SURFACE PHENOMENA IN THE HYDRODYNAMICS
OF AN INCOMPRESSIBLE FLUID 
R. A. Perlov and A. V. Sokolovskii

UDC 532.5

By taking as an example the outflow of an incompressible 
fluid through a hole with small geometric parameters under the conditions 
of supersmall pressures, we attempted to evaluate the effect of surface 
phenomena on its flow by the similarity method. The Navier-Stokes 
differential equation was supplemented by parameters allowing for 
the effect of surface forces. The modified Navier-Stokes equation 
was subjected to similarity conversion. This yielded a dimensionless 
group that includes the whole range of variable parameters affecting 
the fluid flow, namely, the generalized criterion Pv. The graphic 
dependence of the coefficient of the fluid flow rate on the generalized 
criterion Pv is presented on the basis of experimental data.

Ufa State Petroleum Technical University, Ufa, Russia; 
email: nht@rusoil.net. Translated from Inzhenerno-Fizicheskii Zhurnal, 
Vol. 74, No. 5, pp. 50-54, September-October, 2001. Original 
article submitted September 1, 2000; revision submitted December 19, 2000.


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