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In-depth analyses of existing direct numerical simulations (DNS) data from various sources supported a logical and important classification of generic turbulent boundary layers (TBL), namely Type-A, -B and -C TBL, based on distribution…

Fluid Dynamics · Physics 2019-04-19 Duo Wang , Heng Li , Ting Yu , Bochao Cao , Hongyi Xu

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

Fluid Dynamics · Physics 2007-10-29 Joerg Schumacher

At sufficiently high Reynolds numbers, shear-flow turbulence close to a wall acquires universal properties. When length and velocity are rescaled by appropriate characteristic scales of the turbulent flow and thereby measured in \emph{inner…

Fluid Dynamics · Physics 2020-03-18 Sajjad Azimi , Tobias M. Schneider

We establish a theoretical framework for predicting friction and heat transfer coefficients in variable-properties forced air convection. Drawing from concepts in high-speed wall turbulence, which also involves significant temperature,…

Fluid Dynamics · Physics 2024-12-18 Davide Modesti , Sergio Pirozzoli

This work investigates spanwise wall oscillation (SWO) as a method to preferentially enhance heat transfer over drag in turbulent channel flow. Direct numerical simulations at $Re_\tau=180$ and $\Pr=1$ show set of wall-oscillation…

Fluid Dynamics · Physics 2023-12-21 Lou Guérin , Cédric Flageul , Laurent Cordier , Stéphane Grieu , Lionel Agostini

The issue of analytical derivation of the mean velocity profile in a near-wall turbulent flow is revisited in the context of a two-dimensional channel flow. An approach based on the use of dispersion relations for the flow velocity is…

Fluid Dynamics · Physics 2014-10-17 Kirill A. Kazakov

We investigate the effects of thermal boundary conditions and Mach number on turbulence close to walls. In particular, we study the near-wall asymptotic behavior for adiabatic and pseudo-adiabatic walls, and compare to the asymptotic…

Fluid Dynamics · Physics 2025-04-09 Akanksha Baranwal , Diego A. Donzis , Rodney D. W. Bowersox

We offer a unifying theory for turbulent purely internally heated convection, generalizing the unifying theories of Grossmann and Lohse (2000, 2001) for Rayleigh--B\'enard turbulence and of Shishkina, Grossmann and Lohse (2016) for…

Fluid Dynamics · Physics 2021-03-10 Qi Wang , Detlef Lohse , Olga Shishkina

Castillo and George (Castillo, L. and George, W., AIAA J. 39, 41(2001)) developed a flow governing equation approach for describing the turbulent outer boundary layer region. The approach was used to develop similarity criteria for the mean…

Fluid Dynamics · Physics 2015-09-03 David Weyburne

The possibility to derive an equation for the mean velocity field in turbulent flow by using classical statistical mechanics is investigated. An application of projection operator technique available in the literature is used for this…

Classical Physics · Physics 2007-05-23 J. Piest

In this paper, the relation between skin friction and heat transfer along windward sides of blunt-nosed bodies in hypersonic flows is investigated. The self-similar boundary layer analysis is accepted to figure out the distribution of the…

Fluid Dynamics · Physics 2015-01-05 Xing-Xing Chen , Zhi-Hui Wang , Yong-Liang Yu

In the spirit of analog models of and for general relativity, we explore the isomorphism between the equations of linearized turbulent fluid flow and those of the linearized form of GR, gravitoelectromagnetism. The correspondence between…

General Physics · Physics 2009-02-07 H. E. Puthoff

Traditionally, trends of universal turbulence statistics are presented versus R-lambda, which is the Reynolds number based on Taylor's scale, lambda, and the root-mean-squared (rms) velocity component, u'. Taylor's scale and u', and hence…

Fluid Dynamics · Physics 2009-11-07 Reginald J. Hill

We report a theory deriving bulk flow scaling for canonical wall-bounded flows. The theory accounts for the symmetries of boundary geometry (flat plate channel versus circular pipe) by a variational calculation for a large-scale energy…

Fluid Dynamics · Physics 2016-09-21 Xi Chen , Fazle Hussain , Zhen-Su She

An approximate method to compute mean velocity profiles in turbulent flows is developed. This approach is based on the equation connecting the Reynolds stress and mean velocity. By using the measured values of pressure drop and average…

Fluid Dynamics · Physics 2007-05-23 A. E. Karpelson

We demonstrate the ability to experimentally measure fluctuations of the convective heat transfer coefficient at the wall in a turbulent boundary layer. For this, we measure two-dimensional fields of wall-temperature fluctuations beneath a…

Fluid Dynamics · Physics 2025-02-04 Firoozeh Foroozan , Andrea Ianiro , Stefano Discetti , Woutijn J. Baars

We study experimentally temperature fluctuations in stably stratified forced turbulence in air flow. In the experiments with an imposed vertical temperature gradient, the turbulence is produced by two oscillating grids located nearby the…

Fluid Dynamics · Physics 2013-08-19 A. Eidelman , T. Elperin , I. Gluzman , N. Kleeorin , I. Rogachevskii

We give a new proof of Brakke's partial regularity theorem up to C^{1,\varsigma} for weak varifold solutions of mean curvature flow by utilizing parabolic monotonicity formula, parabolic Lipschitz approximation and blow-up technique. The…

Analysis of PDEs · Mathematics 2016-06-02 Kota Kasai , Yoshihiro Tonegawa

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

Compressibility transformations are used to relate hypersonic zero-pressure-gradient (ZPG) turbulent boundary layers (TBLs) to incompressible reference states, but their assessment has largely focused on the collapse of transformed mean…

Fluid Dynamics · Physics 2025-12-11 Engin Danis