Turbulent boundary layers over flat plates and rotating disks—The legacy of von Kármán: A Stockholm perspective

Alfredsson, P. Henrik; Imayama, Shintaro; Lingwood, R. J.; Segalini, Antonio

doi:10.1016/j.euromechflu.2013.01.001

Cited by 10 publications

(9 citation statements)

References 72 publications

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“…As such, the interpretation for the emergence of the mid-layer peak in hu 2 i þ quite naturally derives from its correlation with the onset of the inertial layer at y þ ' 2:6 ffiffiffiffiffi ffi d þ p . Conversely, the rationale given by Alfredsson et al (2013) includes the assumption that the peak in huvi þ resides within the logarithmic layer (a result contrary to the recent findings of Marusic et al (2013)), and that the correlation coefficient, huvi þ =u rms v rms , is approximately constant -even though existing data indicate that its relative variation with d þ is Fig. 13.…”

Section: Conclusion and Discussionmentioning

confidence: 70%

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Properties of the streamwise velocity fluctuations in the inertial layer of turbulent boundary layers and their connection to self-similar mean dynamics

Zhou

Klewicki

2015

International Journal of Heat and Fluid Flow

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Section: Conclusion and Discussionmentioning

confidence: 70%

“…In this regard, Alfredsson et al (2013) suggest that there is consistency between the set of assumptions and observations associated with von Kármán's mixing length-based formulation for the logarithmic mean profile, and the emergence of the mid-layer peak in hu 2 i þ .…”

Section: Conclusion and Discussionmentioning

confidence: 89%

Properties of the streamwise velocity fluctuations in the inertial layer of turbulent boundary layers and their connection to self-similar mean dynamics

Zhou

Klewicki

2015

International Journal of Heat and Fluid Flow

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“…Moreover, other recent studies have documented a dependence of the value of κ on flow geometry [31] and the streamwise pressure under which the TBL develops [62,5]. In any case, it can be stated that there is some consensus in the wall-bounded turbulence community regarding the validity of the logarithmic law [27,23,2], with values of κ between 0.38 and around 0.40 (as already discussed by von Karman in 1934 [64]).…”

Section: Introductionmentioning

confidence: 78%

Assessment of uncertainties in hot-wire anemometry and oil-film interferometry measurements for wall-bounded turbulent flows

Rezaeiravesh

Vinuesa

Liefvendahl

et al. 2018

European Journal of Mechanics - B/Fluids

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In this study, the sources of uncertainty of hot-wire anemometry (HWA) and oil-film interferometry (OFI) measurements are assessed. Both statistical and classical methods are used for the forward and inverse problems, so that the contributions to the overall uncertainty of the measured quantities can be evaluated. The correlations between the parameters are taken into account through the Bayesian inference with error-in-variable (EiV) model. In the forward problem, very small differences were found when using Monte Carlo (MC), Polynomial Chaos Expansion (PCE) and linear perturbation methods. In flow velocity measurements with HWA, the results indicate that the estimated uncertainty is lower when the correlations among parameters are considered, than when they are not taken into account. Moreover, global sensitivity analyses with Sobol indices showed that the HWA measurements are most sensitive to the wire voltage, and in the case of OFI the most sensitive factor is the calculation of fringe velocity. The relative errors in wall-shear stress, friction velocity and viscous length are 0.44%, 0.23% and 0.22%, respectively. Note that these values are lower than the ones reported in other wall-bounded turbulence studies. Note that in most studies of wall-bounded turbulence the correlations among parameters are not considered, and the uncertainties from the various parameters are directly added when determining the overall uncertainty of the measured quantity. In the present analysis we account for these correlations, which may lead to a lower overall uncertainty estimate due to error cancellation. Furthermore, our results also indicate that the crucial aspect when obtaining accurate inner-scaled velocity measurements is the wind-tunnel flow quality, which is more critical than the accuracy in wall-shear stress measurements. 1

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“…Also, κ has been assumed to be a universal constant for a long time [2,3], equaling 0.40∼0.41. However, as more data accumulate, κ measured with the classical definition of the log law (3) show a 20% variation -from 0.37 to 0.45 -which, with no sign of convergence, is rather frustrating [7,16,17]. The present work intends to resolve these controversies.…”

Section: Introductionmentioning

confidence: 88%

Quantifying wall turbulence via a symmetry approach: a Lie group theory

2017

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First-principle-based prediction of mean-flow quantities of wall-bounded turbulent flows (channel, pipe and turbulent boundary layer (TBL)) is of great importance from both physics and engineering standpoints. Here we present a symmetry-based approach which yields analytical expressions for the mean-velocity profile (MVP) from a Lie-group analysis. After verifying the dilatation-group invariance of the Reynolds averaged Navier-Stokes (RANS) equation in the presence of a wall, we depart from previous Lie-group studies of wall turbulence by selecting a stress length function as a similarity variable. We argue that this stress length function characterizes the symmetry property of wall flows having a simple dilatation-invariant form. Three kinds of (local) invariant forms of the length function are postulated, a combination of which yields a multi-layer formula giving its distribution in the entire flow region normal to the wall and hence also the MVP, using the mean-momentum equation. In particular, based on this multi-layer formula, we obtain analytical expressions for the (universal) wall function and separate wake functions for pipe and channel, which are validated by data from direct numerical simulations (DNS). In conclusion, an analytical expression for the entire MVP of wall turbulence, beyond the log law or power law, is developed in this paper and the theory can be used to describe the mean turbulent kinetic-energy distribution, as well as a variety of boundary conditions such as pressure gradient, wall roughness, buoyancy, etc. where the dilatation-group invariance is valid in the wall-normal direction.

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Turbulent boundary layers over flat plates and rotating disks—The legacy of von Kármán: A Stockholm perspective

Cited by 10 publications

References 72 publications

Properties of the streamwise velocity fluctuations in the inertial layer of turbulent boundary layers and their connection to self-similar mean dynamics

Properties of the streamwise velocity fluctuations in the inertial layer of turbulent boundary layers and their connection to self-similar mean dynamics

Assessment of uncertainties in hot-wire anemometry and oil-film interferometry measurements for wall-bounded turbulent flows

Quantifying wall turbulence via a symmetry approach: a Lie group theory

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