On the Optimal Design of Wall‐to‐Wall Heat Transport
On the Optimal Design of Wall‐to‐Wall Heat Transport
We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of total transport by a divergence-free velocity field. Subject to various boundary conditions and intensity constraints, we prove that the maximal rate of transport scales linearly …