56 citations · 294 across the 22 of their papers we have counts for
5 papers · 1 filter
Analytical bounds on the heat transport in internally heated convection
Anuj Kumar, Ali Arslan, Giovanni Fantuzzi +2
We obtain an analytical bound on the mean vertical convective heat flux between two parallel boundaries driven by uniform internal heating. We consider two co…
Optimisation of Region of Attraction Estimates for the Exponential Stabilisation of the Intrinsic Geometrically Exact Beam Model
Marc Artola, Charlotte Rodriguez, Andrew Wynn +2
A systematic approach to maximise estimates on the region of attraction in the exponential stabilisation of geometrically exact (nonlinear) beam models via boundary feedback is pre…
The background method: Theory and computations
Giovanni Fantuzzi, Ali Arslan, Andrew Wynn
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 numeri…
Bounds for internally heated convection with fixed boundary heat flux
Ali Arslan, Giovanni Fantuzzi, John Craske +1
We prove a new rigorous bound for the mean convective heat transport , where and are the nondimensional vertical velocity and temperature, in internall…
Bounds on heat transport for convection driven by internal heating
Ali Arslan, Giovanni Fantuzzi, John Craske +1
The mean vertical heat transport in convection between isothermal plates driven by uniform internal heating is investigated by means of rigorous bounds. These…