# Subcritical convection in an internally heated layer

@article{Xiang2017SubcriticalCI, title={Subcritical convection in an internally heated layer}, author={Linyan Xiang and Oleg Zikanov}, journal={arXiv: Fluid Dynamics}, year={2017} }

Thermal convection in a horizontal layer with uniform internal heating and stress-free constant-temperature boundaries is analyzed numerically. The work is motivated by the questions arising in development of liquid metal batteries, in which convection is induced by the Joule heating of electrolyte. It is demonstrated that three-dimensional convection cells exist at subcritical Rayleigh numbers.

## 8 Citations

### Stability range of localized subcritical Rayleigh–Bénard convection in temperature-dependent viscosity fluids: Constraints from two-dimensional simulations

- Physics, MathematicsPhysics of Fluids
- 2021

We use a finite element code CITCOM to determine the stability range of a unique planform of Rayleigh–Benard convection in temperature-dependent viscosity fluids—a spatially localized upwelling. Such…

### Scaling in Internally Heated Convection: A Unifying Theory

- PhysicsGeophysical Research Letters
- 2021

We offer a unifying theory for turbulent, purely internally heated convection, generalizing the unifying theories of Grossmann and Lohse (2000, https://doi.org/10.1017/S0022112099007545; 2001,…

### Modelling Rayleigh-B\'enard convection and electro-vortex flow in liquid metal batteries

- Physics
- 2020

Liquid Metal Batteries (LMBs) are a promising grid-scale energy storage technology that offer low costs per kilowatt-hour, high energy and current densities, as well as low fade rates. The all-liquid…

### Shallow water modeling of rolling pad instability in liquid metal batteries

- PhysicsTheoretical and Computational Fluid Dynamics
- 2018

Magnetohydrodynamically induced interface instability in liquid metal batteries is analyzed. The batteries are represented by a simplified system in the form of a rectangular cell, in which strong…

### Shallow water modeling of rolling pad instability in liquid metal batteries

- Physics
- 2017

Magnetohydrodynamically induced interface instability in liquid metal batteries is analyzed. The batteries are represented by a simplified system in the form of a rectangular cell, in which strong…

### On the suitability of second-order accurate finite-volume solvers for the simulation of atmospheric boundary layer flow

- Environmental Science, Physics
- 2021

Abstract. The present work analyzes the quality and reliability of an important class of general-purpose, second-order accurate finite-volume (FV) solvers for the large-eddy simulation of a neutrally…

### Fluid Mechanics of Liquid Metal Batteries

- Physics
- 2017

The design and performance of liquid metal batteries, a new technology for grid-scale energy storage, depend on fluid mechanics because the battery electrodes and electrolytes are entirely liquid.…

### How far below the critical Rayleigh number can convection occur in temperature-dependent viscosity fluids?

- PhysicsPhysics of the Earth and Planetary Interiors
- 2022

## References

SHOWING 1-10 OF 12 REFERENCES

### Penetrative internally heated convection in two and three dimensions

- PhysicsJournal of Fluid Mechanics
- 2016

Convection of an internally heated fluid, confined between top and bottom plates of equal temperature, is studied by direct numerical simulation in two and three dimensions. The unstably stratified…

### Thermal convection in a horizontal fluid layer with uniform volumetric energy sources

- PhysicsJournal of Fluid Mechanics
- 1972

Energy transport at Rayleigh numbers up to 675 times the critical (linear stability theory) value is measured in a layer of dilute electrolyte bounded horizontally by two rigid planes of constant and…

### Internally Heated Convection and Rayleigh-Bénard Convection

- Physics
- 2015

This work reviews basic features of both Rayleigh-B\'enard (RB) convection and internally heated (IH) convection, along with findings on IH convection from laboratory experiments and numerical…

### Thermal Rayleigh-Marangoni convection in a three-layer liquid-metal-battery model.

- PhysicsPhysical review. E
- 2017

The studies show that incorporating Marangoni effects generates smaller flow structures, alters the velocity magnitudes, and enhances the turbulent heat transfer across the triple-layer configuration.

### Mixed convection in horizontal duct flow with transverse magnetic field and heating of side wall

- Physics
- 2014

Computational study of mixed convection in a horizontal duct with very strong (Hartmann numbers Ha up to 800) horizontal transverse magnetic field and electrically insulated walls is conducted.…

### Thermal convection in a liquid metal battery

- Engineering, Environmental Science
- 2015

Generation of thermal convection flow in the liquid metal battery, a device recently proposed as a promising solution for the problem of the short-term energy storage, is analyzed using a numerical…

### Instabilities and turbulence in magnetohydrodynamic flow in a toroidal duct prior to transition in Hartmann layers

- PhysicsJournal of Fluid Mechanics
- 2012

Abstract Flow of an electrically conducting fluid in a toroidal duct of square cross-section is analysed. The flow is driven by the azimuthal Lorentz force resulting from the interaction between the…

### Numerical study of magnetohydrodynamic duct flow at high Reynolds and Hartmann numbers

- PhysicsJournal of Fluid Mechanics
- 2012

Abstract High-resolution direct numerical simulations are conducted to analyse turbulent states of the flow of an electrically conducting fluid in a duct of square cross-section with electrically…