NDLI: Waves and spatially localized structures in the turbulent flows of a viscous fluid: Calculation results

Content Provider	Springer Nature Link
Author	Priimak, V. G.
Copyright Year	2010
Abstract	A direct numerical simulation was performed of intermittent and turbulent flows of viscous incompressible fluid in an infinite circular pipe. The Navier-Stokes equations were integrated at the Reynolds numbers of 1800 ≤ Re ≤ 4000 calculated from the mean velocity and a pipe diameter of D = 2R. The numerically obtained solutions belong to the class of mean streamwise periodic solutions with a very large period λ$_{max}$ = 16πR. The Fourier harmonic components of the velocity fluctuations corresponding to very low longitudinal wavenumbers are shown to be the most energetic. A detailed study was carried out of the structures of the calculated turbulent and intermittent flows. The accuracy and the very possibility of the approximation of the turbulent velocity field by the superposition of traveling and standing waves are analyzed. It is shown that the parameters of such a representation (wave amplitudes, phase velocities, and the position of the wave front) are strongly dependent on whether or not very low longitudinal wavenumbers are included in the mathematical model of the flow The numerical solutions at Re = 2200 and 2350 describe the intermittent type of the flow, for which the localized turbulent structures (turbulent puffs) propagate downstream while retaining their spatial dimensions. The space-time structure of the calculated turbulent puffs is compared with the available experimental data. The main statistical characteristics of the turbulence inside and outside the turbulent puff are calculated and the convective rate of the puffs downstream expansion is determined.
Starting Page	543
Ending Page	563
Page Count	21
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	2
Issue Number	5
e-ISSN	20700490
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-09-24
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Simulation and Modeling Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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