56 citations · 294 across the 22 of their papers we have counts for
10 papers · 1 filter
Global stability of Oldroyd-B fluids in plane Couette flow
Joshua Binns, Andrew Wynn
We prove conditions for global nonlinear stability of Oldroyd-B viscoelatic fluid flows in the Couette shear flow geometry. Global stability is inferred by analysing a new function…
Rigorous scaling laws for internally heated convection at infinite Prandtl number
Ali Arslan, Giovanni Fantuzzi, John Craske +1
New bounds are proven on the mean vertical convective heat transport, , for uniform internally heated (IH) convection in the limit of infinite Prandt…
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…
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…