• Computer Science, Mathematics
  • Published in
    SIAM Journal of Applied…
    2013
  • DOI:10.1137/130941377

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
2
Twitter Mentions

Citations

Publications citing this paper.
SHOWING 1-2 OF 2 CITATIONS

System Modeling and Optimization

VIEW 7 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 26 REFERENCES

Fundamentals of Heat and Mass Transfer

VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

Harion, Topology optimization of heat and mass transfer problems: laminar flow, Numerical Heat Transfer

  • G. Marck, M. Nemer, J.-L
  • Part B: Fundamentals
  • 2013
VIEW 1 EXCERPT

Shape minimisation of dendritic attenuation

  • A. Henrot, Y. Privat
  • Appl. Math. Optim
  • 2008
VIEW 3 EXCERPTS