2017/12/06 by A. Tilgner, Tilgner, A.
Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Convection #Dissipation #Energy (signal processing) #Energy transport #Engineering #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Gas Dynamics and Kinetic Theory #Geometry #Heat energy #Kinetic energy #Mathematical analysis #Mathematics #Mechanical engineering #Mechanics #Nuclear reactor physics and engineering #Physics #Plane (geometry) #Prandtl number #Quantum mechanics #Superconducting Materials and Applications #Thermodynamics #Upper and lower bounds #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1712.02395
arxiv created 2017/12/06 · openalex publication_date 2017/12/06 · arxiv updated 2017/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.