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A Lie-group based similarity theory is developed for both momentum and energy distributions in a turbulent pipe flow, leading to asymptotic logarithmic profiles of mean velocity and turbulent kinetic energy. Both channel and pipe data over…

Fluid Dynamics · Physics 2016-06-03 Xi Chen , Fazle Hussain , Zhen-Su She

Townsend (1976) proposed a structural model for the logarithmic layer (log-layer) of wall turbulence at high Reynolds numbers, where the dominant momentum-carrying motions are organised into a multi-scale population of eddies attached to…

Fluid Dynamics · Physics 2021-10-26 Adrián Lozano-Durán , Hyunji Jane Bae

To predict the mean temperature profiles in turbulent thermal convection, the thermal boundary layer (BL) equation including the effects of fluctuations has to be solved. In Shishkina et al., Phys. Rev. Lett. 114 (2015), the thermal BL…

Fluid Dynamics · Physics 2017-11-22 Olga Shishkina , Susanne Horn , Mohammad S. Emran , Emily S. C. Ching

In this paper we revise the similarity theory for the stably stratified atmospheric boundary layer (ABL), formulate analytical approximations for the wind velocity and potential temperature profiles over the entire ABL, validate them…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Sergej Zilitinkevich , Igor Esau

Boundary layer turbulence, particularly the vertical fluxes of momentum, shapes the evolution of winds and currents and plays a critical role in weather, climate, and biogeochemical processes. In this work, a unified, data-driven…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Renaud Falga , Sara Shamekh , Laure Zanna

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

This work explores simple relations that follow from the momentum-integral equation absent a pressure gradient. The resulting expressions enable us to relate the boundary-layer characteristics of a velocity profile, $u(y)$, to an assumed…

Fluid Dynamics · Physics 2021-02-03 Joseph Majdalani , Li-Jun Xuan

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 composite representation of the turbulent boundary-layer velocity profile is proposed, which combines a recently determined accurate interpolation of the universal law of the wall with a simple analytical expression of the smooth…

Fluid Dynamics · Physics 2017-09-05 Paolo Luchini

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

Turbulent wall flows offer the most direct means for understanding the effects of boundaries and viscosity on turbulent fluctuations. Available data on mean-square fluctuations in these flows show apparent contradiction with classical…

Fluid Dynamics · Physics 2025-08-05 Xi Chen , Katepalli R. Sreenivasan

Numerous studies in the past 40 years have established that turbulent flow fields are populated by transient coherent structures that represent patches of fluids moving cohesively for significant distances before they are worn out by…

Fluid Dynamics · Physics 2010-07-06 K. T. Trinh

We perform direct numerical simulations of wall sheared Rayleigh-B\'enard (RB) convection for Rayleigh numbers up to $Ra=10^8$, Prandtl number unity, and wall shear Reynolds numbers up to $Re_w=10000$. Using the Monin-Obukhov length…

This paper proposes a simple new closure principle for turbulent shear flows. The turbulent flow field is divided into an outer and an inner region. The inner region is made up of a log-law region and a wall layer. The wall layer is viewed…

Fluid Dynamics · Physics 2010-01-15 Trinh Khanh Tuoc

Wang and Castillo have developed empirical parameters for scaling the temperature profile of the turbulent boundary layer flowing over a heated wall in the paper X. Wang and L. Castillo, J. Turbul., 4, 1(2003). They presented experimental…

Fluid Dynamics · Physics 2016-03-28 David Weyburne

High-speed vehicles experience a highly challenging environment in which the free-stream Mach number and surface temperature greatly influence aerodynamic drag and heat transfer. The interplay of these two parameters strongly affects the…

Fluid Dynamics · Physics 2024-02-29 Michele Cogo , Umberto Baù , Mauro Chinappi , Matteo Bernardini , Francesco Picano

We propose a minimal spectral theory for boundary layer turbulence that captures very well the profile of the mean square velocity fluctuations in the stream-wise direction, and gives a quantitative prediction of the Townsend-Perry…

Fluid Dynamics · Physics 2020-06-25 Björn Birnir , Luiza Angheluta , John Kaminsky , Xi Che

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

We survey temperature patterns and heat transport in convective boundary layers (CBLs) from the perspective that these are emergent properties of far-from-equilibrium, complex dynamical systems. We introduce a two-temperature (2T) toy model…

Fluid Dynamics · Physics 2020-10-07 Keith G. McNaughton , Subharthi Chowdhuri

We provide a numerical validation of a recently proposed phenomenological theory to characterize the space-time statistical properties of a turbulent puff, both in terms of bulk properties, such as the mean velocity, temperature and size,…

Fluid Dynamics · Physics 2022-02-23 Andrea Mazzino , Marco Edoardo Rosti