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In this study,we investigate the characteristics of three-dimensional turbulent boundary layers influenced by transverse flow and pressure gradients. Our findings reveal that even without assuming an infinite sweep, a fully developed…

Fluid Dynamics · Physics 2024-07-23 Youcheng Xi , Bowen Yan , Guangwen Yang , Song Fu

We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete attractor that consists of entire discrete trajectories.…

Numerical Analysis · Mathematics 2026-04-07 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

Rayleigh--B\'enard convection, which is the buoyancy-induced motion of a fluid enclosed between two horizontal plates, is an idealised setup to study thermal convection. We analyse the modes that transport the most heat between the plates…

Fluid Dynamics · Physics 2015-10-26 Johannes Lülff

Turbulent heat and momentum transfer processes due to thermal convection cover many scales and are of great importance for several natural and technical flows. One consequence is that a fully resolved three-dimensional analysis of these…

Rayleigh-Benard convection is not only a classical problem in fluid dynamics but plays also an important role in many metallurgical and crystal growth applications. The measurement of the flow field and of the dynamics of the emerging…

Fluid Dynamics · Physics 2017-02-17 Thomas Wondrak , Josef Pal , Frank Stefani , Vladimir Galindo , Sven Eckert

The boundary layer flow in a Rayleigh-B\'enard convection cell of rectangular shape has been visualized in this fluid dynamics video. The experiment has been undertaken in air at a Rayleigh number $Ra=1.3\times 10^{10}$ and a Prandtl number…

Fluid Dynamics · Physics 2012-09-28 Ronald du Puits , Johannes Rilk , Christian Resagk , André Thess

We report a numerical study of Rayleigh--B\'enard convection through random porous media using pore-scale modelling, focusing on the Lagrangian dynamics of fluid particles and heat transfer for varied porosities $\phi$. Due to the…

Fluid Dynamics · Physics 2021-04-29 Shuang Liu , Linfeng Jiang , Cheng Wang , Chao Sun

It is shown that homogeneous Rayleigh-Benard flow, i.e., Rayleigh-Benard turbulence with periodic boundary conditions in all directions and a volume forcing of the temperature field by a mean gradient, has a family of exact, exponentially…

Chaotic Dynamics · Physics 2007-05-23 E. Calzavarini , C. R. Doering , J. D. Gibbon , D. Lohse , A. Tanabe , F. Toschi

Direct numerical simulations are carried out to study flow structure and transport properties in turbulent Rayleigh-B\'{e}nard convection in a cylindrical cell of aspect ratio one with an imposed axial magnetic field. Flows at the Prandtl…

Fluid Dynamics · Physics 2020-06-24 Ruslan Akhmedagaev , Oleg Zikanov , Dmitry Krasnov , Joerg Schumacher

We study turbulent Rayleigh-B\'enard convection through direct numerical simulations in a three-dimensional plane layer of aspect ratio 4 for Rayleigh numbers $10^5 \leq Ra \leq 10^{11}$ and Prandtl number $Pr=0.7$. We summarize the…

Fluid Dynamics · Physics 2025-12-30 Roshan J. Samuel , Jörg Schumacher

Active gel theory has recently been very successful in describing biologically active materials such as actin filaments or moving bacteria in temporally fixed and simple geometries such as cubes or spheres. Here we develop a computational…

Biological Physics · Physics 2019-07-10 Christian Bächer , Stephan Gekle

When turbulent convection interacts with a turbulent shear flow, the cores of convective cells become aligned with the mean current, and these cells (which span the height of the domain) may interact with motions closer to the solid…

Fluid Dynamics · Physics 2025-04-09 Andrew P. Grace , David H. Richter

We study an effect of large-scale coherent structures on global properties of turbulent convection in laboratory experiments in air flow in a rectangular chamber with aspect ratios $A \approx 2$ and $A\approx 4$ (with the Rayleigh numbers…

Fluid Dynamics · Physics 2015-05-13 M. Bukai , A. Eidelman , T. Elperin , N. Kleeorin , I. Rogachevskii , I. Sapir-Katiraie

Using direct numerical simulations, we study rotating Rayleigh-B\'enard convection in a cylindrical cell for a broad range of Rayleigh, Ekman, and Prandtl numbers from the onset of wall modes to the geostrophic regime, an extremely…

Fluid Dynamics · Physics 2021-09-14 Robert E. Ecke , Xuan Zhang , Olga Shishkina

The bulk circulation associated with convective clouds includes not only a region of updraft and cloudy air but also a region of compensating descent and cloud-free air and horizontal motions coupling these regions. The Kinematic…

Atmospheric and Oceanic Physics · Physics 2025-12-16 Matthew R. Igel , Joseph A. Biello , Adele L. Igel

We study shallow moist Rayleigh-Benard convection in the Boussinesq approximation in three-dimensional direct numerical simulations. The thermodynamics of phase changes is approximated by a piecewise linear equation of state close to the…

Fluid Dynamics · Physics 2010-06-25 Joerg Schumacher , Olivier Pauluis

This study explores experimentally the turbulent flow in a laboratory flume, interacting with waves propagated against the flow. It focuses a region of wave-blocking for which there is a streamwise location on the water surface, where the…

Fluid Dynamics · Physics 2018-04-18 Debasmita Chatterjee , B. S. Mazumder , Subir Ghosh

Suspensions of active agents with nematic interactions exhibit complex spatio-temporal dynamics such as mesoscale turbulence. Since the Reynolds number of microscopic flows is very small on the scale of individual agents, inertial effects…

Soft Condensed Matter · Physics 2022-01-05 Colin-Marius Koch , Michael Wilczek

We seek transport barriers and transport enhancers as material surfaces across which the transport of diffusive tracers is minimal or maximal in a general, unsteady flow. We find that such surfaces are extremizers of a universal,…

Geophysics · Physics 2019-01-29 George Haller , Daniel Karrasch , Florian Kogelbauer

Turbulence and chaos play a fundamental role in stellar convective zones through the transportof particles, energy and momentum, and in fast dynamos, through the stretching, twisting and folding of magnetic flux tubes. A particularly…

Solar and Stellar Astrophysics · Physics 2015-05-20 Erico L. Rempel , Abraham C. -L. Chian , Axel Brandenburg