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math.AP2022★ 3 cited
Three dimensional branching pipe flows for optimal scalar transport between walls
Anuj Kumar
We consider the problem of "wall-to-wall optimal transport" in which we attempt to maximize the transport of a passive temperature field between hot and cold plates. Specifically,…
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…