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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

Conventionally neutral atmospheric boundary layers (CNBLs), which are characterized with zero surface potential temperature flux and capped by an inversion of potential temperature, are frequently encountered in nature. Therefore,…

Atmospheric and Oceanic Physics · Physics 2022-07-06 Luoqin Liu , Srinidhi N. Gadde , Richard J. A. M. Stevens

Large-eddy simulations are used to evaluate mean profile similarity in the convective boundary layer (CBL). Particular care is taken regarding the grid sensitivity of the profiles and the mitigation of inertial oscillations in the…

Fluid Dynamics · Physics 2024-05-07 Michael Heisel , Marcelo Chamecki

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 stable boundary layer (SBL) subjected to large-scale subsidence is studied through large-eddy simulations (LESs) with fixed surface temperature and a linear subsidence velocity profile. These boundary layers reach a truly steady state,…

Fluid Dynamics · Physics 2024-10-18 Thijs Bon , Raúl Bayoán Cal , Johan Meyers

We introduce an analytical model that describes the vertical structure of Ekman boundary layer flows coupled to the Monin-Obukhov Similarity Theory (MOST) surface layer representation, which is valid for conventionally neutral (CNBL) and…

Fluid Dynamics · Physics 2024-12-04 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

A robust composite mean velocity profile is developed for turbulent boundary layers (TBLs) subjected to adverse pressure gradients (APGs), extending the composite formulation for generic pressure-gradient TBLs proposed by…

Fluid Dynamics · Physics 2026-03-26 Ahmad Zarei , Mitchell Lozier , Rahul Deshpande , Ivan Marusic

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

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

The convection velocity ($U_C$) of turbulent structures has been studied in adverse-pressure-gradient (APG) turbulent boundary layers (TBLs) for a wide range of Reynolds numbers $Re_\tau = 1400 - 4000$. The study is based on estimation of…

Fluid Dynamics · Physics 2022-11-23 Artur Dróżdż , Paweł Niegodajew , Mathias Romańczyk , Witold Elsner

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

The symmetries and similarities of the zero-pressure-gradient turbulent boundary layer (ZPGTBL) are investigated to derive the full set of similarity variables, to derive the similarity equations, and to obtain a higher-order approximate…

Fluid Dynamics · Physics 2023-01-30 Chenning Tong

Accurately predicting drag and heat transfer for compressible high-speed flows is of utmost importance for a range of engineering applications. This requires the precise knowledge of the entire velocity and temperature profiles. A common…

Fluid Dynamics · Physics 2023-07-06 Asif Manzoor Hasan , Johan Larsson , Sergio Pirozzoli , Rene Pecnik

We study Rayleigh-Benard convection in the high-Rayleigh-number and high-Prandtl-number regime, i.e., we consider a fluid in a container that is exposed to strong heating of the bottom and cooling of the top plate in the absence of inertia…

Analysis of PDEs · Mathematics 2015-06-12 Christian Seis

We investigate the structures of the near-plate velocity and temperature profiles at different horizontal positions along the conducting bottom (and top) plate of a Rayleigh-B\'{e}nard convection cell, using two-dimensional (2D) numerical…

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

The atmospheric convective boundary layer (CBL) consists of three basic parts: (i) the surface layer unstably stratified and dominated by small-scale turbulence of very complex nature; (ii) the CBL core dominated by the energy-, momentum-…

Fluid Dynamics · Physics 2024-04-19 I. Rogachevskii , N. Kleeorin

The Monin-Obukhov Similarity Theory (MOST) is a cornerstone of atmospheric science for describing turbulence in stable boundary layers. Extending MOST to stably stratified turbulent channel flows, however, is non-trivial due to confinement…

Fluid Dynamics · Physics 2026-01-14 Sanath Kotturshettar , Pedro Costa , Rene Pecnik

The logarithmic law of mean temperature profile has been observed in different regions in Rayleigh-B\'enard turbulence. However, how thermal plumes correlate to the log law of temperature and how the velocity profile changes with pressure…

Fluid Dynamics · Physics 2019-10-08 Hong-Yue Zou , Wen-Feng Zhou , Xi Chen , Yun Bao , Jun Chen , Zhen-Su She

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
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