Bounds on the Heat Transfer Rate via Passive Advection

@article{Iyer2022BoundsOT,
  title={Bounds on the Heat Transfer Rate via Passive Advection},
  author={Gautam Iyer and Truong-Son Van},
  journal={SIAM Journal on Mathematical Analysis},
  year={2022}
}
. In heat exchangers, an incompressible fluid is heated initially and cooled at the boundary. The goal is to transfer the heat to the boundary as efficiently as possible. In this paper we study a related steady version of this problem where a steadily stirred fluid is uniformly heated in the interior and cooled on the boundary. For a given large Péclet number, how should one stir to minimize some norm of the temperature? This version of the problem was previously studied by Marcotte, Doering et al… 

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