The background method: theory and computations
The background method is a widely used technique to bound mean properties of turbulent
flows rigorously. This work reviews recent advances in the theoretical formulation and …
flows rigorously. This work reviews recent advances in the theoretical formulation and …
The role of boundary conditions in scaling laws for turbulent heat transport
C Nobili - arxiv preprint arxiv:2112.15564, 2021 - arxiv.org
In most results concerning bounds on the heat transport in the Rayleigh-B\'{e} nard
convection problem no-slip boundary conditions for the velocity field are assumed …
convection problem no-slip boundary conditions for the velocity field are assumed …
Optimal cooling of an internally heated disc
I Tobasco - … Transactions of the Royal Society A, 2022 - royalsocietypublishing.org
Motivated by the search for sharp bounds on turbulent heat transfer as well as the design of
optimal heat exchangers, we consider incompressible flows that most efficiently cool an …
optimal heat exchangers, we consider incompressible flows that most efficiently cool an …
Micropolar meets Newtonian. The Rayleigh–Bénard problem
We consider the Rayleigh–Bénard problem for the two-dimensional Boussinesq system for
the micropolar fluid. Our main goal is to compare the value of the critical Rayleigh number …
the micropolar fluid. Our main goal is to compare the value of the critical Rayleigh number …
On the optimal design of wall‐to‐wall heat transport
We consider the problem of optimizing heat transport through an incompressible fluid layer.
Modeling passive scalar transport by advection‐diffusion, we maximize the mean rate of …
Modeling passive scalar transport by advection‐diffusion, we maximize the mean rate of …
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries Page 1
Nonlinearity PAPER • OPEN ACCESS Bounds on buoyancy driven flows with Navier-slip …
Nonlinearity PAPER • OPEN ACCESS Bounds on buoyancy driven flows with Navier-slip …
Geometrical dependence of optimal bounds in Taylor–Couette flow
A Kumar - Journal of Fluid Mechanics, 2022 - cambridge.org
This paper is concerned with the optimal upper bound on mean quantities (torque,
dissipation and the Nusselt number) obtained in the framework of the background method …
dissipation and the Nusselt number) obtained in the framework of the background method …
Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection
Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard
convection Page 1 J. Fluid Mech. (2020), vol. 889, A33. c The Author(s), 2020. Published by …
convection Page 1 J. Fluid Mech. (2020), vol. 889, A33. c The Author(s), 2020. Published by …
Relationship between the methods of bounding time averages
S Chernyshenko - arxiv preprint arxiv:1704.02475, 2017 - arxiv.org
The problem of finding bounds of time-averaged characteristics of dynamical systems, such
as the bound on the mean energy dissipation rate in a turbulent flow governed by …
as the bound on the mean energy dissipation rate in a turbulent flow governed by …
[BOOK][B] Bulk properties and flow structures in turbulent flows
A Kumar - 2023 - search.proquest.com
Turbulence is ever-present: from flows in engineering, such as a wake behind a submarine,
the boundary layer over an aircraft wing, and the swirl in an internal combustion engine, to …
the boundary layer over an aircraft wing, and the swirl in an internal combustion engine, to …