Application of a differential equation for turbulent viscosity to the analysis of plane non-self-similar flows

Sekundov, A. N.

doi:10.1007/bf01013866

Cited by 10 publications

(16 citation statements)

References 15 publications

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“…Although the model for the turbulent viscosity [23] is somewhat more convenient (fewer equations than in twoparameter models), in number of cases it does not quite reflect the experimental observations . This prompted Sekundov [23] to turn to the two-parameter model [28] which incorporates equations (L3) for the turbulence energy E and (1 .9) for the turbulent viscosity v" thus making it possible to simulate flows with (u 'v )/E noticeably deviating from the equilibrium value .…”

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 92%

“…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%

“…The one-parameter model of [23] was also used for calculating the flow in a circular tube at different Reynolds numbers . By introducing an empirical function rz(v r /v) into the term with generation in the transport equation for the turbulent viscosity (1.9) it was possible [27,31] to achieve good agreement with experiment.…”

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

“…The one-parameter model [23] extended to compressible flows was tested in [243 against the experimentally determined velocity and concentration fields for a supersonic plane air 'et (Mach number 2.18) with a helium admixture along traveling asurface in a supersonic accompanying airflow (M e 2,7 and 3.8) . 76e main feature of o supersonic near-wall jet in a supersonic accompanying flow is that the velocity and concentration proffles change along the length .…”

Section: ^F Ig mentioning

confidence: 99%

“…In [29] the one-and two-parameter models [23][24][25][26][27][28] are generalized to compressible fluid flows by introducing additional terms into the equations for v, and E .…”

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

See 4 more Smart Citations

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: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 92%

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

Section: ^F Ig mentioning

confidence: 99%

“…In [29] the one-and two-parameter models [23][24][25][26][27][28] are generalized to compressible fluid flows by introducing additional terms into the equations for v, and E .…”

Section: The Physical Basis Of the Construction Of Mathematical Modmentioning

confidence: 99%

See 3 more Smart Citations

Turbulent flows. Models and numerical investigations. A review

Luschik¹,

Pavel'ev²,

Yakubenko³

1994

Fluid Dyn

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Appendix

2016

Hydraulic Modeling

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A general one-equation turbulence model for free shear and wall-bounded flows

Fares¹,

Schröder²

2005

Flow Turbulence Combust

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The purpose of this work is to introduce a complete and general one-equation model capable of correctly predicting a wide class of fundamental turbulent flows like boundary layer, wake, jet, and vortical flows. The starting point is the mature and validated two-equation k-ω turbulence model of Wilcox. The newly derived one-equation model has several advantages and yields better predictions than the Spalart-Allmaras model for jet and vortical flows while retaining the same efficiency and quality of the results for near-wall turbulent flows without using a wall distance. The derivation and validation of the new model using findings computed by the Spalart-Allmaras and the k-ω models are presented and discussed for several free shear and wall-bounded flows.

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Application of a differential equation for turbulent viscosity to the analysis of plane non-self-similar flows

Cited by 10 publications

References 15 publications

Turbulent flows. Models and numerical investigations. A review

Turbulent flows. Models and numerical investigations. A review

Appendix

A general one-equation turbulence model for free shear and wall-bounded flows

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