Bounds on poloidal kinetic energy in plane layer convection
A. Tilgner
TL;DR
This paper introduces a numerical method to compute upper bounds on heat transport and poloidal energy in plane layer convection, providing improved bounds for poloidal energy that align with existing heat transport results.
Contribution
The paper presents a new numerical approach for deriving upper bounds on poloidal energy in plane layer convection, enhancing previous bounds and linking them to heat transport constraints.
Findings
Bounds on heat transport match previous results.
Derived upper bounds for poloidal energy are improved.
Bounds are applicable for both infinite and finite Prandtl numbers.
Abstract
A numerical method is presented which conveniently computes upper bounds on heat transport and poloidal energy in plane layer convection for infinite and finite Prandtl numbers. The bounds obtained for the heat transport coincide with earlier results. These bounds imply upper bounds for the poloidal energy which follow directly from the definitions of dissipation and energy. The same constraints used for computing upper bounds on the heat transport lead to improved bounds for the poloidal energy.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGas Dynamics and Kinetic Theory · Superconducting Materials and Applications · Nuclear reactor physics and engineering