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The higher-order mean velocity profile in the convective atmospheric boundary layer (CBL) is derived using the method of matched asymptotic expansions. The universal expansion coefficients are obtained using field measurement data. The…

Fluid Dynamics · Physics 2026-02-17 Chenning Tong , Davoud Pourabdollah , Kirill Barskov , Mengjie Ding

In this article, we present a multiscale characterization of the streamwise velocity of a turbulent channel flow. We study the 2nd and 4th order structure functions and the flatness for scales ranging from the dissipative to the integral…

Fluid Dynamics · Physics 2025-06-09 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas B. Garnier

We develop a multi-range fractional (MRF) model to capture the turbulent spectrum consisting of multiple self-similar ranges impacted by multiple effects. The MRF model is validated using long-term observational atmospheric surface layer…

Fluid Dynamics · Physics 2024-12-25 Fei-Chi Zhang , Jin-Han Xie , Xiaojing Zheng

A persistent spatial organization of eddies is identified in the lowest portion of the stably-stratified planetary boundary layer. The analysis uses flow realizations from published large-eddy simulations (Sullivan et al., J Atmos Sci…

Fluid Dynamics · Physics 2023-09-01 Michael Heisel , Peter P Sullivan , Gabriel G Katul , Marcelo Chamecki

Monin-Obukhov similarity theory (MOST) is a well-tested approach for specifying the fluxes when the roughness surfaces are homogeneous. For flow over waves (inhomogeneous surfaces), phase-averaged roughness length scales are often…

Fluid Dynamics · Physics 2022-09-08 Aditya K. Aiyer , Luc Deike , Michael E. Mueller

Scintillometer measurements of the turbulence inner-scale length $l_o$ and refractive index structure function $C_n^2$ allow for the retrieval of large-scale area-averaged turbulent fluxes in the atmospheric surface layer. This retrieval…

Atmospheric and Oceanic Physics · Physics 2013-09-10 Matthew A. Gruber , Gilberto J. Fochesatto

Scaling of the mean velocity profiles has been studied by many researchers, since it provides a template of universal dynamical patterns across a range of Reynolds numbers. Various normalization schemes have been shown in the past, some…

Fluid Dynamics · Physics 2024-12-04 T. -W. Lee

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

The turbulent boundary layer scaling parameters for the velocity profile are usually associated with either the inner viscous region or the outer boundary layer region. It has been a long-held view that complete similarity of the velocity…

Fluid Dynamics · Physics 2017-05-09 David Weyburne

Measurements of atmospheric turbulence made over the Arctic pack ice during the Surface Heat Budget of the Arctic Ocean experiment (SHEBA) are used to determine the limits of applicability of Monin-Obukhov similarity theory (in the local…

Atmospheric and Oceanic Physics · Physics 2013-03-06 Andrey A. Grachev , Edgar L Andreas , Christopher W. Fairall , Peter S. Guest , P. Ola G. Persson

Numerical simulations of wall-turbulence using the restricted nonlinear (RNL) model generate realistic mean velocity profiles in plane Couette and channel flow at low Reynolds numbers. The results are less accurate at higher Re, and while a…

Fluid Dynamics · Physics 2015-06-23 Joel. U. Bretheim , Charles Meneveau , Dennice F. Gayme

Wall turbulence has a sublayer where the mean wall-normal flux of the streamwise momentum is constant. Via the law of the wall, this mean flux is related to the wall-normal profile of the mean streamwise velocity. However, the momentum flux…

Fluid Dynamics · Physics 2023-07-10 H. Mouri , J. Ito

In this Letter we suggest a simple and physically transparent analytical model of the pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model gives accurate qualitative description of the profiles of…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

Monin-Obukhov Similarity Theory (MOST), the traditional surface layer theory used to understand the behavior, scaling and exchange of heat, water vapor and carbon dioxide between the land surface and atmosphere relies on a number of…

Atmospheric and Oceanic Physics · Physics 2025-11-06 Tyler Waterman , Ivana Stiperski , Laura Torres-Rojas , Marc Calaf

We present an extended version of an invited talk given on the International Conference "Turbulent Mixing and Beyond". The dynamical and statistical description of stably stratified turbulent boundary layers with the important example of…

Fluid Dynamics · Physics 2009-02-18 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

This paper reports turbulent boundary layer measurements made over open-cell reticulated foams with varying pore size and thickness, but constant porosity ($\epsilon \approx 0.97$). The foams were flush-mounted into a cutout on a flat…

Fluid Dynamics · Physics 2018-03-14 Christoph Efstathiou , Mitul Luhar

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

Turbulent flow fields can be expanded into a series in a set of basic functions. The terms of such series are often called modes. A master- (or determining) mode set is a subset of these modes, the time history of which uniquely determines…

Fluid Dynamics · Physics 2008-09-18 Sergei Chernyshenko , Maksym Bondarenko

In this work, a near-wall model, which couples the inverse of a recently developed compressible velocity transformation [Griffin, Fu, & Moin, PNAS, 118:34, 2021] and an algebraic temperature-velocity relation, is developed for high-speed…

Fluid Dynamics · Physics 2023-09-11 Kevin Patrick Griffin , Lin Fu , Parviz Moin

For more than five decades, a notable spread in the low frequencies of velocity and temperature spectra, scaled using inertial subrange properties and Monin-Obukhov similarity theory, has been observed in unstable stratification. A large…

Fluid Dynamics · Physics 2023-11-08 Claudine Charrondière , Ivana Stiperski