Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Transition from wall modes to multimodality in liquid gallium magnetoconvection

Journal Article · · Physical Review Fluids (Online)
 [1];  [2];  [3]
  1. Univ. of California, Los Angeles, CA (United States); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  2. Coventry University (United Kingdom)
  3. Univ. of California, Los Angeles, CA (United States)
Coupled laboratory-numerical experiments of Rayleigh-Bénard convection in liquid gallium subject to a vertical magnetic field are presented. The experiments are carried out in two cylindrical containers with diameter-to-height aspect ratio Γ = 1.0 and 2.0 at varying thermal forcing (Rayleigh numbers 105 ≲ Ra ≲ 108) and magnetic field strength (Chandrasekhar numbers 0 ≲ Ch ≲ 3 × 105). Laboratory measurements and numerical simulations confirm that magnetoconvection in our finite cylindrical tanks onsets via nondrifting wall-attached modes, in good agreement with asymptotic predictions for a semi-infinite domain. With increasing supercriticality, the experimental and numerical thermal measurements and the numerical velocity data reveal transitions between wall mode states with different azimuthal mode numbers and between wall-dominated convection to wall and interior multimodality. These transitions are also reflected in the heat transfer data, which combined with previous studies connect onset to supercritical turbulent behaviors in liquid metal magnetoconvection over a large parameter space. The gross heat transfer behaviors between magnetoconvection and rotating convection in liquid metals are compared and discussed.
Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
EPSRC; National Science Foundation (NSF); USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
2432514
Alternate ID(s):
OSTI ID: 2203984
Journal Information:
Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 10 Vol. 8; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (64)

Ueber die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperaturdifferenzen journal January 1879
Laboratory model of electrovortex flow with thermal gradients for liquid metal batteries journal November 2022
MHD flow in liquid-metal-cooled blankets journal April 1991
Turbulent Rayleigh–Bénard convection in low Prandtl–number fluids journal November 1999
On the exploration of innovative concepts for fusion chamber technology journal February 2001
The fundamentals of MHD related to crystal growth journal January 1999
Flow speeds and length scales in geodynamo models: The role of viscosity journal June 2013
Overview of the last progresses for the European Test Blanket Modules projects journal October 2007
Travelling magnetic fields applied to bulk crystal growth from the melt: The step from basic research to industrial scale journal April 2008
Zonal flow scaling in rapidly-rotating compressible convection journal July 2014
Experiments on Rayleigh–Bénard convection, magnetoconvection and rotating magnetoconvection in liquid gallium journal March 2001
Rayleigh–Bénard instability in a vertical cylinder with a vertical magnetic field journal October 2002
Turbulent stirring in an experimental induction furnace journal October 1985
Rotating Rayleigh–Bénard convection: asymmetric modes and vortex states journal April 1993
Asymptotic theory of wall-attached convection in a rotating fluid layer journal October 1993
Rapidly rotating turbulent Rayleigh-Bénard convection journal September 1996
Steady motion of conducting fluids in pipes under transverse magnetic fields journal January 1953
Heat transfer by rapidly rotating Rayleigh–Bénard convection journal January 2012
Toroidal and poloidal energy in rotating Rayleigh–Bénard convection journal December 2014
A nonlinear model for rotationally constrained convection with Ekman pumping journal May 2016
Thermal convection in inclined cylindrical containers journal February 2016
Prograde, retrograde, and oscillatory modes in rotating Rayleigh–Bénard convection journal October 2017
Rotating thermal convection in liquid gallium: multi-modal flow, absent steady columns journal May 2018
Wall modes in magnetoconvection at high Hartmann numbers journal June 2018
Experimental study of the convection in a rotating tangent cylinder journal March 2018
Quasistatic magnetoconvection: heat transport enhancement and boundary layer crossing journal May 2019
Combined measurement of velocity and temperature in liquid metal convection journal August 2019
Heat transfer and flow regimes in quasi-static magnetoconvection with a vertical magnetic field journal September 2019
Flow regimes of Rayleigh–Bénard convection in a vertical magnetic field journal May 2020
Turbulent Rayleigh–Bénard convection in a strong vertical magnetic field journal May 2020
Thermoelectric precession in turbulent magnetoconvection journal November 2021
Experimental pub crawl from Rayleigh–Bénard to magnetostrophic convection journal March 2022
Scaling Laws in Rayleigh‐Bénard Convection journal September 2019
An Experiment on the Inhibition of Thermal Convection by a Magnetic Field journal March 1955
Evidence against ‘ultrahard’ thermal turbulence at very high Rayleigh numbers journal March 1999
Rayleigh–Bénard convection in liquid metal layers under the influence of a vertical magnetic field journal November 2001
Reduced models for fluid flows with strong constraints journal June 2007
Asymptotic theory of wall-attached convection in a horizontal fluid layer with a vertical magnetic field journal February 2008
Turbulent convection in liquid metal with and without rotation journal April 2013
Magnetostrophic balance as the optimal state for turbulent magnetoconvection journal January 2015
Jump rope vortex in liquid metal convection journal November 2018
On the Limits of Validity of the Low Magnetic Reynolds Number Approximation in MHD Natural-Convection Heat Transfer journal May 2006
Tornado-like vortices in the quasi-cyclostrophic regime of Coriolis-centrifugal convection journal March 2021
XLVI. On the inhibition of convection by a magnetic field journal May 1952
Magnetoconvection in a Sunspot Umbra journal March 2006
Radiative Magnetohydrodynamic Simulation of Sunspot Structure journal January 2009
Magnetoconvection journal November 1982
On the genesis of the Earth's magnetism journal September 2013
Laboratory-numerical models of rapidly rotating convection in planetary cores journal February 2015
Rossby numbers of fully and partially convective stars journal January 2023
The cross-over to magnetostrophic convection in planetary dynamo systems journal March 2017
Effect of a vertical magnetic field on turbulent Rayleigh-Bénard convection journal October 2000
Rotating convection with centrifugal buoyancy: Numerical predictions for laboratory experiments journal July 2019
Heat-transport scaling and transition in geostrophic rotating convection with varying aspect ratio journal July 2021
Small scale quasigeostrophic convective turbulence at large Rayleigh number journal September 2023
Thermal Boundary Layer Equation for Turbulent Rayleigh–Bénard Convection journal March 2015
Confined Rayleigh-Bénard, Rotating Rayleigh-Bénard, and Double Diffusive Convection: A Unifying View on Turbulent Transport Enhancement through Coherent Structure Manipulation journal August 2017
Regimes of Coriolis-Centrifugal Convection journal May 2018
Connections between nonrotating, slowly rotating, and rapidly rotating turbulent convection transport scalings journal October 2020
Fluid Mechanics of Liquid Metal Batteries journal January 2018
Planetary Magnetic Fields and Fluid Dynamos journal January 2011
Magnetohydrodynamics in Materials Processing journal January 1999
Magnetohydrodynamic Turbulence at Low Magnetic Reynolds Number journal January 2008
Hopf Bifurcation with Broken Reflection Symmetry in Rotating Rayleigh-Bénard Convection journal June 1992

Figures / Tables (16)


Similar Records

Thermovelocimetric characterization of liquid metal convection in a rotating slender cylinder
Journal Article · Thu Jul 03 20:00:00 EDT 2025 · International Journal of Heat and Mass Transfer · OSTI ID:2586604

Experimental pub crawl from Rayleigh–Bénard to magnetostrophic convection
Journal Article · Tue Mar 22 20:00:00 EDT 2022 · Journal of Fluid Mechanics · OSTI ID:1924338

Magnetoconvection in sheared magnetic fields
Journal Article · Wed Oct 15 00:00:00 EDT 2008 · Physics of Plasmas · OSTI ID:21254551