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A standard model for the study of scalar dispersion through advection and molecular diffusion is a two-dimensional periodic flow with closed streamlines inside periodic cells. Over long time scales, the dispersion of a scalar in this flow…

Fluid Dynamics · Physics 2015-06-18 P. H. Haynes , J. Vanneste

In this paper, we have used the QUICK scheme of the finite volume method to investigate the problem of steady 2-D free convective incompressible flow with heat and mass transfer in an inclined rectangular domain at different Rayleigh…

Fluid Dynamics · Physics 2017-08-28 V. Ambethkar , D. Kushawaha

In this paper we carry out a numerical investigation of forced convection heat transfer from a heated elliptical cylinder in a uniform free stream with angle of inclination $\theta^{\circ}$. Numerical simulations were carried out for $10…

Fluid Dynamics · Physics 2023-08-21 Raghav Singhal , Sailen Dutta , Jiten C. Kalita

By use of Lagrangian tracers propagated on 2D simulations of Scrape-Off Layer (SOL) turbulence, we are able to determine the non-local fractional-advection, fractional-diffusion equation (FADE) coefficients for a number of equilibrium…

Plasma Physics · Physics 2025-03-28 T. Gheorghiu , F. Militello , J. Juul Rasmussen

We investigate the onset and evolution of zonal flows in a growing convective layer when a stably-stratified fluid with a composition gradient is cooled from above. This configuration allows the study of zonal flows for a wide range of…

Fluid Dynamics · Physics 2023-11-08 J. R. Fuentes , A. Cumming

We consider wall-to-wall transport of a passive tracer by divergence-free velocity vector fields $\mathbf{u}$. Given an enstrophy budget $\langle |\nabla \mathbf{u}|^{2} \rangle \le Pe^{2}$ we construct steady two-dimensional flows that…

Fluid Dynamics · Physics 2017-07-03 Ian Tobasco , Charles R. Doering

We present measurements of the normalized charge transport or Nusselt number $\rm Nu$ as a function of the aspect ratio $\Gamma$ for turbulent convection in an electrically driven film. In analogy with turbulent Rayleigh-B{\'e}nard…

Condensed Matter · Physics 2009-11-10 Peichun Tsai , Zahir A. Daya , Stephen W. Morris

A systematic theory for the scaling of the Nusselt number $Nu$ and of the Reynolds number $Re$ in strong Rayleigh-Benard convection is suggested and shown to be compatible with recent experiments. It assumes a coherent large scale…

chao-dyn · Physics 2017-05-17 Siegfried Grossmann , Detlef Lohse

A fluid between two spheres, concentric or not, at different temperatures will flow in the presence of a constant gravitational force. Although there is no possible hydrostatic state, energy transport is dominated by diffusion if…

Fluid Dynamics · Physics 2015-09-22 A. D. Gallegos , C. Malaga

Interfacial mass transfer of low-diffusive substances in an unsteady flow environment is marked by a very thin boundary layer at the interface and other regions with steep concentration gradients. A numerical scheme capable of resolving…

Mathematical Physics · Physics 2013-02-05 Boris Kubrak , Jan Wissink , Herlina Herlina , Friedrich Greve

This study revisits the problem of advective transfer and spectra of a diffusive scalar field in large-scale incompressible flows in the presence of a (large-scale) source. By ``large-scale'' it is meant that the spectral support of the…

Fluid Dynamics · Physics 2009-11-13 Chuong V. Tran

Heat transfer in a fluid can be greatly enhanced by natural convection, giving rise to the nuanced relationship between the Nusselt number and Rayleigh number that has been a focus of modern fluid dynamics. Our work explores convection in…

Fluid Dynamics · Physics 2025-07-24 Yuejia Zhang , Nicholas J. Moore , Jinzi Mac Huang

Accurate and economical modeling of near-surface transport processes is a standing challenge for various engineering and atmospheric boundary-layer flows. In this paper, we address this challenge by utilizing a stochastic one-dimensional…

Fluid Dynamics · Physics 2021-12-01 Marten Klein , Heiko Schmidt , David O. Lignell

We compute steady planar incompressible flows and wall shapes that maximize the rate of heat transfer (Nu) between and hot and cold walls, for a given rate of viscous dissipation by the flow (Pe$^2$). In the case of no flow, we show…

Fluid Dynamics · Physics 2023-09-29 Silas Alben

To understand how internal flow structures manifest themselves in the global heat transfer, we study the correlation between different flow modes and the instantaneous Nusselt number ($Nu$) in a two-dimensional square Rayleigh-B\'enard…

Fluid Dynamics · Physics 2020-10-09 Ao Xu , Xin Chen , Feng Wang , Heng-Dong Xi

We study the fluid mechanics of removing a passive tracer contained in small, viscous drops attached to a flat inclined substrate using thin gravity-driven film flows. A convective mass transfer establishes across the drop-film interface…

Fluid Dynamics · Physics 2016-04-20 Julien R. Landel , A. L. Thomas , H. McEvoy , Stuart B. Dalziel

A solvable turbulent model is used to predict both the structure of the boundary layer and the scaling laws in thermal convection. The transport of heat depends on the interplay between the thermal, viscous and integral scales of…

Fluid Dynamics · Physics 2015-05-28 B. Dubrulle

We derive transport equations for the propagation of water wave action in the presence of a static, spatially random surface drift. Using the Wigner distribution $\W(\x,\k,t)$ to represent the envelope of the wave amplitude at position $\x$…

Fluid Dynamics · Physics 2007-05-23 Guillaume Bal , Tom Chou

New bounds are proven on the mean vertical convective heat transport, $\overline{\langle wT \rangle}$, for uniform internally heated (IH) convection in the limit of infinite Prandtl number. For fluid in a horizontally-periodic layer between…

Fluid Dynamics · Physics 2023-03-22 Ali Arslan , Giovanni Fantuzzi , John Craske , Andrew Wynn

We simulate numerically Boussinesq convection in non-rotating spherical shells for a fluid with a unity Prandtl number and Rayleigh numbers up to $10^9$. In this geometry, curvature and radial variations of the gravitationnal acceleration…

Fluid Dynamics · Physics 2015-10-28 T. Gastine , J. Wicht , J. M. Aurnou