The paper “The role of boundary conditions in scaling laws for turbulent heat transport” with sole author Camila Nobili has been published in a special issue of Mathematics in Engineering. The paper is a review of contributions in the field of quantitative bounds on the Nusselt number for the classical Rayleigh-BĂ©nard convection problem. A link to the arXiv version is here and the published paper is available here.The chart below, from the concluding remarks section, summarizes the best upper bounds available, distinguishing between no-slip, Navier-slip and free-slip boundary conditions.
![](https://blogs.surrey.ac.uk/mathsresearch/wp-content/uploads/sites/11/2022/09/chart-nobili.png)