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A simple model of nonlinear salt-finger convection in two dimensions is derived and studied. The model is valid in the limit of small solute to heat diffusivity ratio and large density ratio, which is relevant to both oceanographic and…

Fluid Dynamics · Physics 2017-03-13 Jin-Han Xie , Benjamin Miquel , Keith Julien , Edgar Knobloch

Of profound astrobiological interest, Enceladus appears to have a global subsurface ocean that is salty, indicating water-rock reaction at present or in the past, important for its habitability. Here, we investigate how salinity and the…

Earth and Planetary Astrophysics · Physics 2022-05-13 Wanying Kang , Tushar Mittal , Suyash Bire , Jean-Michel Campin , John Marshall

The study of the transitions among different regimes in thermal convection has been an issue of paramount importance in fluid mechanics. While the bifurcations at low Rayleigh number, when the flow is laminar or moderately chaotic, have…

Fluid Dynamics · Physics 2023-05-29 Vincent Labarre , Stéphan Fauve , Sergio Chibbaro

We conduct laboratory experiments on the time evolution of an ice layer cooled from below and subjected to a turbulent shear flow of warm water from above. Our study is motivated by observations of warm water intrusion into the ocean cavity…

Fluid Dynamics · Physics 2016-06-29 Eshwan Ramudu , Benjamin Henry Hirsh , Peter Olson , Anand Gnanadesikan

Unlike solids, the heat transfer in fluids can be greatly enhanced due to the presence of convection. Under gravity, an unevenly distributed temperature field results in differences in buoyancy, driving fluid motion that is seen in…

Fluid Dynamics · Physics 2024-10-04 Jinzi Mac Huang , Jun Zhang

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

Analysis of PDEs · Mathematics 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

We model the solar horizontal velocity power spectrum at scales larger than granulation using a two-component approximation to the mass continuity equation. The model takes four times the density scale height as the integral (driving) scale…

Solar and Stellar Astrophysics · Physics 2015-06-22 J. W. Lord , R. H. Cameron , M. P. Rast , M. Rempel , T. Roudier

(abridged) Context. Turbulent fluxes of angular momentum and heat due to rotationally affected convection play a key role in determining differential rotation of stars. Here we perform a systematic comparison between Cartesian and spherical…

Solar and Stellar Astrophysics · Physics 2011-07-07 P. J. Käpylä , M. J. Mantere , G. Guerrero , A. Brandenburg , P. Chatterjee

Double-diffusive instabilities are often invoked to explain enhanced transport in stably-stratified fluids. The most-studied natural manifestation of this process, fingering convection, commonly occurs in the ocean's thermocline and…

Fluid Dynamics · Physics 2015-05-19 A. Traxler , S. Stellmach , P. Garaud , T. Radko , N. Brummell

This work proposes an extensive review of laminar and turbulent forced convective heat transfer correlations inside tubes by analyzing both experimental and computational research. Convective heat transfer is influenced by fluid turbulence…

Fluid Dynamics · Physics 2024-01-09 Gubran A. Q. Abdulrahman , Sultan M. Alharbi

We calculate the scalar transport rate, as characterized by the Nusselt number\,($Nu$), from a neutrally buoyant spherical drop in an ambient linear flow, in the absence of inertia and in the strong convection limit. This corresponds to the…

Fluid Dynamics · Physics 2026-01-27 Sabarish V. Narayanan , Ganesh Subramanian

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 amount and spatial pattern of heat extracted from cores of terrestrial planets is ultimately controlled by the thermal structure of the lower rocky mantle. Using the most common model to tackle this problem, a rapidly rotating and…

Earth and Planetary Astrophysics · Physics 2016-01-26 Wieland Dietrich , Kumiko Hori , Johannes Wicht

We investigate the evolution of interfaces among phases of the interstellar medium with different temperature. It is found that, for some initial conditions, the dynamical effects related to conductive fronts are very important even if…

Astrophysics · Physics 2009-10-22 Andrea Ferrara , Yuri Shchekinov

In the present study, we conduct direct numerical simulations of two-way force-coupled particle-laden compressible turbulent boundary layers at the free-stream Mach number of 2.0 for the purpose of examining the effects of particles on the…

Fluid Dynamics · Physics 2024-07-01 Ming Yu , Yibin Du , Qian Wang , Siwei Dong , Xianxu Yuan

Results of realistic simulations of solar surface convection on the scale of supergranules (96 Mm wide by 20 Mm deep) are presented. The simulations cover only 10% of the geometric depth of the solar convection zone, but half its pressure…

Astrophysics · Physics 2008-11-05 R. F. Stein , A. Nordlund , D. Georgobiani , D. Benson , W. Schaffenberger

An important question in turbulent Rayleigh-B\'{e}nard convection (RBC) is the effectiveness of convective heat transport, which is conveniently described via the scaling of the Nusselt number (${\rm{Nu}}$) with the Rayleigh (${\rm{Ra}}$)…

Fluid Dynamics · Physics 2020-04-29 P. Urban , T. Králík , P. Hanzelka , V. Musilová , T. Věžník , D. Schmoranzer , L. Skrbek

The effect of various velocity boundary condition is studied in two-dimensional Rayleigh-B\'enard convection. Combinations of no-slip, stress-free and periodic boundary conditions are used on both the sidewalls and the horizontal plates.…

Fluid Dynamics · Physics 2015-01-09 Erwin P. van der Poel , Rodolfo Ostilla Mónico , Roberto Verzicco , Detlef Lohse

We study the conductive and convective states of phase-change of pure water in a rectangular container where two opposite walls are kept respectively at temperatures below and above the freezing point and all the other boundaries are…

Fluid Dynamics · Physics 2021-12-13 Ziqi Wang , Enrico Calzavarini , Chao Sun

We perform three-dimensional direct numerical simulations of surface-driven convection near the temperature of maximum density $\tilde T_{md}$. A dynamic surface boundary condition couples heat flux through the surface to the induced…

Atmospheric and Oceanic Physics · Physics 2024-05-08 Jason Olsthoorn
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