2 papers
math.AP2010
Shape minimization of the dissipated energy in dyadic trees
Xavier Dubois De La Sablonière, Benjamin Mauroy, Yannick Privat
In this paper, we study the role of boundary conditions on the optimal shape of a dyadic tree in which flows a Newtonian fluid. Our optimization problem consists in finding the sha…
physics.bio-ph2003
Interplay between geometry and flow distribution in an airway tree
B. Mauroy, M. Filoche, J. S. Andrade +1
Uniform fluid flow distribution in a symmetric volume can be realized through a symmetric branched tree. It is shown here, however, that the flow partitioning can be highly sensiti…