# What Is the Optimal Shape of a Fin for One-Dimensional Heat Conduction?

@article{Marck2013WhatIT, title={What Is the Optimal Shape of a Fin for One-Dimensional Heat Conduction?}, author={Gilles Marck and Gr{\'e}goire Nadin and Yannick Privat}, journal={SIAM Journal of Applied Mathematics}, year={2013}, volume={74}, pages={1194-1218} }

This article is concerned with the shape of small devices used to control the heat flowing between a solid and a fluid phase, usually called fins. The temperature along a fin in the stationary regime is modeled by a one-dimensional Sturm--Liouville equation whose coefficients strongly depend on its geometrical features. We are interested in the following issue: is there any optimal shape maximizing the heat flux at the inlet of the fin? Two relevant constraints are examined, by imposing either… CONTINUE READING

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