# Internally Heated Convection and Rayleigh-Bénard Convection

@inproceedings{Goluskin2015InternallyHC, title={Internally Heated Convection and Rayleigh-B{\'e}nard Convection}, author={David Goluskin}, year={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 simulations. In the first chapter, six canonical models of convection are described: three configurations of IH convection driven by constant and uniform volumetric heating, and three configurations of RB convection driven by the boundary conditions. The IH models are distinguished by differing pairs of…

## 67 Citations

### 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…

### Analytical bounds on the heat transport in internally heated convection

- PhysicsJournal of Fluid Mechanics
- 2022

Abstract We obtain an analytical bound on the non-dimensional mean vertical convective heat flux $\langle w T \rangle$ between two parallel boundaries driven by uniform internal heating. We consider…

### Internally heated Darcy-Brinkman-Bénard ferro-thermal-convection in a ferrofluid saturated porous layer: The influence of boundaries

- Physics
- 2020

This paper theoretically investigates the effects of different velocity, temperature and magnetic potential boundary conditions on the linear stability criteria of three models of internally heated…

### Model for classical and ultimate regimes of radiatively driven turbulent convection

- PhysicsJournal of Fluid Mechanics
- 2020

Abstract In a standard Rayleigh–Bénard experiment, a layer of fluid is confined between two horizontal plates and the convection regime is controlled by the temperature difference between the hot…

### Convective dynamics with mixed temperature boundary conditions: Why thermal relaxation matters and how to accelerate it

- Physics
- 2020

Astrophysical simulations of convection frequently impose different thermal boundary conditions at the top and the bottom of the domain in an effort to more accurately model natural systems. In this…

### Heat transfer in rapidly rotating convection with heterogeneous thermal boundary conditions

- Physics, GeologyJournal of Fluid Mechanics
- 2017

Convection in the metallic cores of terrestrial planets is likely to be subjected to lateral variations in heat flux through the outer boundary imposed by creeping flow in the overlying silicate…

### Convection in an internally heated stratified heterogeneous reservoir

- PhysicsJournal of Fluid Mechanics
- 2019

The Earth’s mantle is chemically heterogeneous and probably includes primordial material that has not been affected by melting and attendant depletion of heat-producing radioactive elements. One…

### Rigorous scaling laws for internally heated convection at infinite Prandtl number

- PhysicsJournal of Mathematical Physics
- 2023

We prove rigorous scaling laws for measures of the vertical heat transport enhancement in two models of convection driven by uniform internal heating at infinite Prandtl number. In the first model, a…

### Thermal forcing and ‘classical’ and ‘ultimate’ regimes of Rayleigh–Bénard convection

- PhysicsJournal of Fluid Mechanics
- 2019

The fundamental challenge to characterize and quantify thermal transport in the strongly nonlinear regime of Rayleigh–Bénard convection – the buoyancy-driven flow of a horizontal layer of fluid…

### Internally heated convection of viscoplastic fluids in enclosures using a lattice Boltzmann method

- PhysicsPhysics of Fluids
- 2023

Thermal convection driven by an internal heat source in a two-dimensional enclosure filled with viscoplastic fluids is investigated numerically. Two vertical side walls of the cavity are isotherms…

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