A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid

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

zbMATH Keywords

Navier-Stokes equationscylindrical pipeshape optimization problems

Mathematics Subject Classification ID

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
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid