Tree networks for minimal pumping power
In this paper the optimization of fluid networks is based on the minimization of pumping power requirement. The total pipe network volume is constrained. It is shown that only in special cases the minimization of pumping power leads to the same architecture as the minimization of pressure drop or flow resistance. Fundamentals of fluid network optimization are developed for both spanning networks and networks where new non-consumer points are added (Gilbert-Steiner points). It is shown that networks with minimum pumping power must not contain loops. The influence of gravity on the optimization of flow configuration is also addressed. The principles developed in the paper are illustrated with an example representing a set often vertices to be connected with pipes. The paper provides designers with more effective basic tools for the conceptual design of fluid networks. © 2004 Elsevier SAS. All rights reserved.
Duke Scholars
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Related Subject Headings
- Mechanical Engineering & Transports
- 4017 Mechanical engineering
- 4012 Fluid mechanics and thermal engineering
- 0915 Interdisciplinary Engineering
- 0913 Mechanical Engineering
- 0102 Applied Mathematics
Citation
Published In
DOI
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Mechanical Engineering & Transports
- 4017 Mechanical engineering
- 4012 Fluid mechanics and thermal engineering
- 0915 Interdisciplinary Engineering
- 0913 Mechanical Engineering
- 0102 Applied Mathematics