DYNAMICS OF A FLUID IN A ROUGHNESS LAYER

E. I. Smolyar

UDC 532.5.546

A study is made of the dynamics of a viscous Newtonian 
fluid in a roughness layer which takes into account the oscillation 
of the geometric structure of the layer space. The solution of modified 
Navier-Stokes equations is represented in the form of a three-scale 
expansion in powers of the geometric parameters of the roughness and 
describes the motion of the fluid throughout the layer (integral scale) 
and in the cells formed by roughness elements (local scales). The 
spatial averaging of the problem has been carried out; the system 
of equations which prescribes the integral dynamics of the fluid in 
the layer as a continuous medium with allowance for the contributions 
from the effects of local dynamics in the roughness cells and is a 
basis for construction of the models of turbulence in a strongly locally 
inhomogeneous medium has been given.

Agrophysical Scientific-Research Institute, Russian Academy 
of Agricultural Sciences, St. Petersburg, Russia; email: smoljar@VT142.spb.edu. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 4, pp. 
128-134, July-August, 2002. Original article submitted September 
24, 2001.

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