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physics.flu-dyn2022★ 1 cited
Optimal bounds in Taylor--Couette flow
Anuj Kumar
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 for the Tayl…
physics.flu-dyn2020
Pressure-driven flows in helical pipes: bounds on flow rate and friction factor
Anuj Kumar
In this paper, we use the well-known background method to obtain a rigorous lower bound on the volume flow rate through a helical pipe driven by a pressure differential in the limi…