Structure of optimal transport networks subject to a global constraint

• Published in: Physical review letters Vol. 98; no. 8; p. 088701
• Main Author: Durand, Marc
• Format: Journal Article
• Language: English
• Published: United States 23.02.2007
• Subjects: Biological Transport; Models, Biological

The structure of pipe networks minimizing the total energy dissipation rate is studied analytically. Among all the possible pipe networks that can be built with a given total pipe volume (or pipe lateral surface area), the network which minimizes the dissipation rate is shown to be loopless. Further...