4 papers
Internally heated convection with rotation: bounds on heat transport
Ali Arslan
This work investigates heat transport in rotating internally heated convection, for a horizontally periodic fluid between parallel plates under no-slip and isothermal boundary cond…
New bounds for heat transport in internally heated convection at infinite Prandtl number
Ali Arslan, Ruben E. Rojas
We prove new bounds on the heat flux out of the bottom boundary, , for a fluid at infinite Prandtl number, heated internally between isothermal parallel plates under…
Internal heating profiles for which downward conduction is impossible
Ali Arslan, Giovanni Fantuzzi, John Craske +1
We consider an internally heated fluid between parallel plates with fixed thermal fluxes. For a large class of heat sources that vary in the direction of gravity, we prove that $\l…
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…