ANALYSIS OF THREE-DIMENSIONAL STRUCTURES
IN COMPLEX TURBULENT FLOWS

N. A. Fomin

UDC 681.327.12.001.362:525

The basic integral relations used in analyzing various 
images of flows are given. The differences in the Abel transform for 
laminar and turbulent flows have been shown. The integral Uberoi-Kovasznay 
transform used in analyzing direct-shadow images of turbulent flows 
has been described. The present possibilities of digital laser speckle-
photography for analyzing speckle-images of turbulent flows with the use 
of integral Erbeck-Merzkirch transforms have been analyzed.

Keywords: Abel integral, turbulence, tomography, speckle-photography, 
correlation analysis.
 
A. V. Luikov Heat and Mass Transfer Institute, National 
Academy of Sciences of Belarus, 15 P. Brovka Str., Minsk, 220072, 
Belarus; email: fomin@hmti.ac.by. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 82, No. 1, pp. 8-17, January-February, 2009. 
Original article submitted March 11, 2008.