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Heat Transfer Research
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ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v45.i2.10
pages 97-118

TOMOGRAPHIC TECHNIQUES OF MULTISCALE COHERENT STRUCTURES RECONSTRUCTION IN TURBULENT FLOWS. 1. LARGE SCALES RECONSTRUCTION

Nikita A. Fomin
Laboratory of Physical-Chemical Hydrodynamics, Department of Physics and Chemistry of Nonequilibrium Media, A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, Minsk, Belarus
O. V. Meleeva
A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str, Minsk, 220072, Belarus

ABSTRACT

General techniques of tomographic reconstruction of three-dimensional structures in turbulent flows are described. Numerical simulation of the process of reconstruction of the local parameters of 3D flows from the data of limited-projection integral measurements with the use of the integral Radon transform is carried out. Errors of such a reconstruction are calculated and their analysis is given. It is shown that at the number of projections not exceeding four, the reconstruction of only relatively simple flows with a comparatively small asymmetry is possible. The integral relations used in analyzing various images of flows with allowance for the symmetry of the structures under study are presented. The differences in the Abel transform for laminar and turbulent flows are shown. The current possibilities of digital laser speckle photography for the analysis of speckled images of turbulent flows using the integral Erbeck−Merzkirch transforms are considered briefly. It is shown that these transforms can be used to advantage also in the analysis of nanostructures in various microflows, for example, in production of nanoconcrete, dissolution of carbon nanomaterials in paint coatings, and so on.


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