# Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states

@article{Reetz2019InvariantSI, title={Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states}, author={Florian Reetz and P. Subramanian and Tobias M. Schneider}, journal={Journal of Fluid Mechanics}, year={2019}, volume={898} }

Convection in a layer inclined against gravity is a thermally driven non-equilibrium system, in which both buoyancy and shear forces drive spatio-temporally complex flows. As a function of the strength of thermal driving and the angle of inclination, a multitude of convection patterns is observed in experiments and numerical simulations. Several observed patterns have been linked to exact invariant states of the fully nonlinear three-dimensional Oberbeck–Boussinesq equations. These exact…

## 7 Citations

### Invariant states in inclined layer convection. Part 1. Temporal transitions along dynamical connections between invariant states

- PhysicsJournal of Fluid Mechanics
- 2020

Thermal convection in an inclined layer between two parallel walls kept at different fixed temperatures is studied for fixed Prandtl number $\mathit{Pr}=1.07$. Depending on the angle of inclination…

### Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

- Physics
- 2019

When laminar shear flows in large wall-bounded domains transition to turbulence, the flow exhibits spatio-temporally chaotic dynamics. Despite its chaotic dynamics, the flow may self-organize into…

### Linear feedback control of invariant solutions in channel flow

- MathematicsJournal of Fluid Mechanics
- 2020

Abstract Considering channel flow at Reynolds numbers below the linear stability threshold of the laminar profile as a generic example system showing a subcritical transition to turbulence connected…

### Ricocheting inclined layer convection states

- PhysicsJournal of Fluid Mechanics
- 2020

Abstract Inclining a fluid layer subjected to a temperature gradient introduces a profusion of fascinating patterns and regimes. Previous experimental and computational studies form the starting…

### Analyzing Slightly Inclined Cylindrical Binary Fluid Convection via Higher Order Dynamic Mode Decomposition

- PhysicsSIAM Journal on Applied Dynamical Systems
- 2022

### Longitudinal and transverse modes of temperature modulated inclined layer convection

- PhysicsArXiv
- 2022

A parametric instability of an incompressible, viscous, and Boussinesq ﬂuid layer bounded between two parallel planes is investigated numerically. The layer is assumed to be inclined at an angle with…

### Inclined convection in a layer of liquid water with poorly conducting boundaries

- PhysicsPhysical Review Research
- 2020

We investigate pattern formation in an inclined layer of liquid water with poorly conducting boundaries. We show that above the threshold for convection the presence of an inclination larger than 14…

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Thermal convection in an inclined layer between two parallel walls kept at different fixed temperatures is studied for fixed Prandtl number $\mathit{Pr}=1.07$. Depending on the angle of inclination…

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