A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid
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Publication:952119
DOI10.1016/j.crma.2008.09.005zbMath1156.35444OpenAlexW2125656500MaRDI QIDQ952119
Yannick Privat, Antoine Henrot
Publication date: 6 November 2008
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2008.09.005
Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)
Related Items (3)
On a numerical approach for solving some geometrical shape optimization problems in fluid mechanics ⋮ What is the optimal shape of a pipe? ⋮ Modeling and optimization of hourglass-shaped aquaporins
Cites Work
- What is the optimal shape of a pipe?
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Shape optimization in viscous compressible fluids
- Variation and optimization of formes. A geometric analysis
- On the problems of riblets as a drag reduction device
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