Development of lattice turbulence in a stream with a constant velocity gradient

Pavel'ev, A. A.

doi:10.1007/bf01016306

Cited by 1 publication

(5 citation statements)

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“…However, up to now only the three-parameter model [6,7] involving transport equations for E, z, and E/LZ, has made it possible to obtain agreement between the calculated and experimental results in all types of turbulent boundary layers and in channel flows using the same invariable set of constants determined from the analysis of calibrating flows .…”

Section: Resultsmentioning

confidence: 87%

“…The differential models reviewed, in which the turbulence properties are described using transport equations, constitute a complete spectrum of modern nonequilibrium turbulence models from one-parameter [16,18,23] to two- [18,19,28] and three-parameter models [6,7] . As the experience of applying these and more complicated models shows, an increase in the number of differential equations (for example by using the equations for the third moments) does not, it seems, result in an increase in the accuracy and versatility of the turbulence models, because the results of the calculations made using the models reviewed agree with experimental data, to within their range of error .…”

Section: Resultsmentioning

confidence: 99%

“…In nonequilibrium flows it is necessary to introduce differential equations either for the turbulent viscosity v, (where there are sharp longitudinal variations of the boundary conditions but no regions of negative turbulent viscosity) or for the shear stress s=-(u 'v '). Such models were proposed in [23][24][25][26][27] (equation for v,) and in [6,7] (equation for s) .…”

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

“…In [6,7] for the calculation of nonequilibrium turbulent flows, including those with regions of negative turbulent transfer coefficients, a three-parameter model was proposed consisting of equation (1.2) for the shear stress r=-(u 'v'), equation (1 .3) for the turbulence energy E, and the equation for the vorticity =E/L 2 L=~E = 1 1 (aElz ' °2c1 E lay…”

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

“…Later, this model was extended to the calculation of heat exchange and supersonic shear flows [8,9] . Over the past 10 years a great many results have been published describing the calculation of turbulent shear flows [10][11][12][13][14][15] with the use of the turbulence model proposed in [6][7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

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Turbulent flows. Models and numerical investigations. A review

Luschik¹,

Pavel'ev²,

Yakubenko³

1994

Fluid Dyn

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Russian papers on differential models of turbulence and numerical simulation of nonequilibrium turbulent flows of liquids, gases, and conducting media, published for the most part in this journal over the last 10-15 years, are reviewed .The turbulence models considered in this review are based on Kolmogorovt ideas, which generated a new approach to the mathematical modeling of turbulent flows consisting in the use of transport equations for the turbulence properties . The subsequent development of these models was due to the emergence of computers which made it possible to change over from a qualitative analysis in particular regions to obtaining quantitative results with the influence of viscosity and also such effects as diffusion and convection, taken directly into account in the mathematical simulation of turbulent flows .In this review the models are selected in accordance with the following criteria . 1 . Only differential models are considered, that is models in which transport equations are used for the main turbulence properties : the turbulence energy, shear stress or the turbulent viscosity and a parameter involving the integral turbulence scale . According to the number of the transport equations the models are classified as one-, two-, or three-parameter. The application of the models is restricted to flows for which the boundary layer approximation holds true .2 . The models must have been put to practical use in the analysis of particular flows, and their most efficient areas of application specified . The models must have been tested by comparison with the most reliable experimental data . The models must be highly universal, thus making it possible, without adjusting the constants entering into the model, to take into account the inlet and boundary conditions, the variations of the physical properties of the medium, and external influences .The review aims to demonstrate the potential of the turbulence models considered in relation to a wide variety of flows in boundary layers and channels, and also to draw them to the attention of users and researchers developing scientific and applied computational programs for the description and control of devices with complicated working processes in aviation and space technology, and other areas.

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Section: Resultsmentioning

confidence: 87%