Navier-Stokes computations of viscous sublayer flow and the limitingbehavior of turbulence near a wall

Chapman, Dean R.; Kuhn, G. D.

doi:10.2514/6.1985-1487

Cited by 5 publications

(3 citation statements)

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“…We present a calculated &-profile for which no experimental measurements are available. In Figure 6(c) the k + = k/(u*)' and E + = E V / ( U * )~ profiles in the near-wall zones are presented along with those obtained with the wall functions of equations (23) and (37). One can observe that the wall functions proposed are in agreement with the calculated values in the viscous sublayer (0 < y + < 5) and in the turbulent sublayer defined by 70<y+ < 100.…”

Section: Phase 1 Initial Estimates For Velocity and K--ementioning

confidence: 99%

An extended κ–ϵ finite element model

Jaeger¹,

Dhatt²

1992

Numerical Methods in Fluids

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SUMMARYAn extended k--E model (to include low-Reynolds-number regions) employing weighting functions is presented. Wall functions for the near-wall zones are developed giving correct boundary values for the shear stress and k--E. A finite element model using a penalty formulation for incompressible turbulent flow is applied to solve a flow between two plates. Results with mesh boundaries situated in the near-wall region and at the wall are compared with measured values.

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Section: Phase 1 Initial Estimates For Velocity and K--ementioning

confidence: 99%

An extended κ–ϵ finite element model

Jaeger¹,

Dhatt²

1992

Numerical Methods in Fluids

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“…The method used to generate random time sequences for Model 3 is given in Chapman & Kuhn (1984). I n order to keep computer time within acceptable bounds the correlation coefficient between two successive terms in a time sequence was set at 0.95.…”

Section: Modelmentioning

confidence: 99%

The limiting behaviour of turbulence near a wall

1986

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Three different Navier-Stokes computational models of incompressible viscoussublayer turbulence have been developed. Comparison of computed turbulence quantities with experiment is made for the mean streamwise velocity, Reynolds stress, correlation coefficient and dissipation; for the r.m.s. fluctuation intensities of streamwise vorticity, Reynolds stress and three velocity components; and for the skewness and flatness of fluctuating streamwise velocity and Reynolds stress. The comparison is good for the first three of these quantities, and reasonably good for most of the remainder.Special computer runs with a very fine mesh and small Courant number were made to define the limiting power-law behaviour of turbulence near a wall. Such behaviour was found to be confined to about 0.3 wall units from the wall, and to be: linear for streamwise turbulence, spanwise turbulence, vorticity normal to the wall, and for the departures from their respective wall values of dissipation, streamwise vorticity and spanwise vorticity; second power for turbulence normal to the wall; third power for Reynolds stress; and a constant value of the correlation coefficient for Reynolds stress. A simple physical explanation is given for the third-power variation of Reynolds stress and for the broad generality of this limiting variation.Applications are made to Reynolds-average turbulence modelling: damping functions for Reynolds stress in eddy-viscosity models are derived that are compatible with the near-wall limiting behaviour; and new wall boundary conditions for dissipation in k-ε models are developed that are similarly compatible.

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“…In an actual measurment, the signal frequency is averaged over the path traversed by the scattering particle through the measuring vol- Klebanoff (1954), Laufer (1953), Kim et al (1971), Chapman and Kuhn (1985) and Kim et al (1987). The compilation of the experimental data of near-wall turbulence by Coles (1978) was also consulted.…”

Section: V=ui+vj+wkmentioning

confidence: 99%

Measurement of turbulent wall velocity gradients using cylindrical waves of laser light

Naqwi

Reynolds

1991

Experiments in Fluids

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Abstract.A new optical instrument has been developed for direct measurement of instantaneous velocity gradients at the bounding wall. Light emerging from two tiny optical slits in the surface is used to form a "fan of fringes" in the region very near the wall. Doppler frequency of the light scattered by the seed particles is directly proportional to the velocity gradient. The system has been used to measure the statistics of the streamwise and spanwise velocity gradients in a turbulent boundary layer. The streamwise and spanwise rms fluctuations were found to be 38% and 11% of the mean streamwise value respectively. The latter result is subject to a large uncertainty.

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Navier-Stokes computations of viscous sublayer flow and the limitingbehavior of turbulence near a wall

Cited by 5 publications

References 0 publications

An extended κ–ϵ finite element model

An extended κ–ϵ finite element model

The limiting behaviour of turbulence near a wall

Measurement of turbulent wall velocity gradients using cylindrical waves of laser light

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