Optimal counter-current exchange networks.
@article{Farr2016OptimalCE, title={Optimal counter-current exchange networks.}, author={Robert S. Farr and Yong Mao}, journal={Physical review. E}, year={2016}, volume={94 5-1}, pages={ 052410 } }
We present a general analysis of exchange devices linking their efficiency to the geometry of the exchange surface and supply network. For certain parameter ranges, we show that the optimal exchanger consists of densely packed pipes which can span a thin sheet of large area (an "active layer"), which may be crumpled into a fractal surface and supplied with a fractal network of pipes. We derive the efficiencies of such exchangers, showing the potential for significant gains compared to regular…
References
SHOWING 1-10 OF 54 REFERENCES
Structure of optimal transport networks subject to a global constraint.
- Computer SciencePhysical review letters
- 2007
Among all the possible pipe networks that can be built with a given total pipe volume, the network which minimizes the dissipation rate is shown to be loopless and to contain at most N-2 nodes in addition to the N sources plus sinks that it connects.
Structure, scaling, and phase transition in the optimal transport network.
- PhysicsPhysical review letters
- 2007
Two different formulations that lead to identical results are shown: minimizing the dissipation rate of an electrical network under a global constraint is equivalent to the minimization of a power-law cost function introduced by Banavar et al.
Damage and fluctuations induce loops in optimal transport networks.
- Computer SciencePhysical review letters
- 2010
Inspired by leaf venation, this work studies two possible reasons for the existence of a high density of loops in transport networks: resilience to damage and fluctuations in load.
Deterministic Tree Networks for Fluid Flow: Geometry for Minimal Flow Resistance Between a Volume and One Point
- Materials Science
- 1997
The function of many natural flow systems is to connect by a fluid flow a nite-size volume and one point. This paper outlines a strategy for constructing the architecture of the volume-topoint path…
Efficiency of optimized bifurcating tree-like and parallel microchannel networks in the cooling of electronics
- Engineering
- 2009
Asymmetries arising from the space-filling nature of vascular networks.
- Computer SciencePhysical review. E
- 2016
A numerical method is devised that enables the investigation of space-filling strategies and determination of which biological principles influence network structure and yields predictions that better match the empirical data.
Bifurcation of droplet flows within capillaries.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006
Flows of droplets through networks of microchannels differ significantly from the flow of simple fluids. Our report focuses on the paths of individual droplets through the simplest possible network:…
Bistability in a simple fluid network due to viscosity contrast.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010
It is demonstrated theoretically the presence of hysteresis and bistability, and the predictions are confirmed in an experiment using two miscible fluids of different viscosity-sucrose solution and water.
Self-Healing Networks: Redundancy and Structure
- Computer SciencePloS one
- 2014
Small-world topologies show that introducing some long-range connections in planar grids greatly enhances the resilience to multiple failures with performances comparable to the case of the most resilient (and least realistic) scale-free structures.