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Monin-Obukhov similarity theory (MOST) stands at the center of understanding of atmospheric surface-layer turbulence. Based on the hypothesis that a single length scale determined by surface fluxes governs the turbulent exchange of…

Atmospheric and Oceanic Physics · Physics 2023-04-05 Ivana Stiperski , Marc Calaf

Wall-bounded turbulent flows are widely observed in natural and engineering systems, such as air flows near the Earth's surface, water flows in rivers, and flows around a car or a plane. The universal logarithmic velocity profile in…

Fluid Dynamics · Physics 2021-03-17 Yu Cheng , Qi Li , Pierre Gentine

The universal velocity log law first proposed by von K\'arm\'an in the near-wall region of turbulent shear flows is one of the cornerstones of turbulence theory. When buoyancy effects are important, the universal velocity log law is…

Fluid Dynamics · Physics 2022-09-16 Yu Cheng , Andrey Grachev , Chiel van Heerwaarden

Flow over a surface can be stratified by imposing a fixed mean vertical temperature (density) gradient profile throughout or via cooling at the surface. These distinct mechanisms can act simultaneously to establish a stable stratification…

Fluid Dynamics · Physics 2022-02-02 Cheng-Nian Xiao , Inanc Senocak

We study turbulent flows in planar channels with unstable thermal stratification, using direct numerical simulations in a wide range of Reynolds and Rayleigh numbers and reaching flow conditions which are representative of asymptotic…

Fluid Dynamics · Physics 2017-06-28 Sergio Pirozzoli , Matteo Bernardini , Roberto Verzicco , Paolo Orlandi

The Monin--Obukhov similarity theory-based wind speed and potential temperature profiles are inherently coupled to each other. We have developed hybrid approaches to disentangle them, and as a direct consequence, the estimation of Obukhov…

Atmospheric and Oceanic Physics · Physics 2018-09-10 Sukanta Basu

Monin-Obukhov similarity theory (MOST) is used in virtually every Earth System Model (ESM) to parameterize the near-surface turbulent exchanges, however there is high uncertainty in the literature about the appropriate parameterizations to…

Atmospheric and Oceanic Physics · Physics 2023-10-12 Samuele Mosso , Marc Calaf , Ivana Stiperski

Monin Obukhov Similarity Theory (MOST) has long served as the basis for parameterizations of turbulence exchange between the surface and the atmospheric boundary layer in models for weather and climate prediction. Decades of research,…

Atmospheric and Oceanic Physics · Physics 2025-07-17 Tyler Waterman , Ivana Stiperski , Nathaniel Chaney , Marc Calaf

Turbulence anisotropy was recently integrated into Monin-Obukhov Similarity Theory (MOST), extending its applicability to complex terrain and diverse surface conditions. Implementing this generalized MOST in numerical models, however,…

Fluid Dynamics · Physics 2025-03-20 Samuele Mosso , Karl Lapo , Ivana Stiperski

A new mixed scaling parameter $Z=z/\sqrt{Lh}$ is proposed for similarity in the stable atmospheric surface layer, where $z$ is the height, $L$ is the Obukhov length, and $h$ is the boundary layer depth. Compared to the parameter $\zeta =…

Atmospheric and Oceanic Physics · Physics 2023-09-01 Michael Heisel , Marcelo Chamecki

Taylor--Couette (TC) flow is the shear-driven flow between two coaxial independently rotating cylinders. In recent years, high-fidelity simulations and experiments revealed the shape of the streamwise and angular velocity profiles up to…

Monin--Obukhov Similarity Theory (MOST), which underpins nearly all bulk estimates of surface fluxes in the atmospheric surface layer, assumes monotonic wind profiles and vertically uniform momentum and heat fluxes. Here, we show that…

We develop innovative analytical expressions for the mean wind and potential temperature flux profiles in convective boundary layers (CBLs). CBLs are frequently observed during daytime as the Earth's surface is warmed by solar radiation.…

Fluid Dynamics · Physics 2023-08-07 Luoqin Liu , Srinidhi N. Gadde , Richard J. A. M. Stevens

The problem of discerning key features of steady turbulent flow adjacent to a wall has drawn the attention of some of the most noted fluid dynamicists of all time. Standard examples of such features are found in the mean velocity profiles…

Fluid Dynamics · Physics 2023-01-23 Paul C. Fife

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

Local similarity theory is suggested based on the Brunt-Vaisala frequency and the dissipation rate of turbulent kinetic energy instead the turbulent fluxes used in the traditional Monin-Obukhov similarity theory. Based on dimensional…

Atmospheric and Oceanic Physics · Physics 2015-09-25 Andrey A. Grachev , Edgar L Andreas , Christopher W. Fairall , Peter S. Guest , P. Ola G. Persson

This work analyzes the turbulent velocity distribution in proximity of the wall using the finite-scale Lyapunov theory just presented in previous works. This theory is here applied to the steady boundary layer under the hypothesis of…

Fluid Dynamics · Physics 2012-10-03 Nicola de Divitiis

In this paper non-neutral approaching flows were employed in a meteorological wind tunnel on a regular urban-like array of rectangular buildings. As far as stable stratification is concerned, results on the flow above and inside the canopy…

Atmospheric and Oceanic Physics · Physics 2020-03-17 Davide Marucci , Matteo Carpentieri

We study the experimental properties of exchange flows in a stratified inclined duct (SID), which are simultaneously turbulent, strongly stratified by a mean vertical density gradient, driven by a mean vertical shear, and continuously…

Fluid Dynamics · Physics 2022-03-14 Adrien Lefauve , P. F. Linden

This paper employs an input-output based approach to analyze convective velocities and the transport of fluctuations in turbulent channel flows. The convective velocity for a fluctuating quantity associated with streamwise-spanwise…

Fluid Dynamics · Physics 2021-11-16 Chang Liu , Dennice F. Gayme
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