Energy minimization for the flow in ducts and networks

2014/12/04 by Taha Sochi, Sochi, Taha · 1 citation
Computer Science · Decision Sciences · Engineering · #Advanced Multi-Objective Optimization Algorithms #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Probabilistic and Robust Engineering Design #Water Systems and Optimization

paper · pdf · doi:10.48550/arxiv.1412.1804

openalex publication_date 2014/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The present paper is an attempt to demonstrate how the energy minimization principle may be considered as a governing rule for the physical equilibrium that determines the flow fields in tubes and networks. We previously investigated this issue using a numerical stochastic method, specifically simulated annealing, where we demonstrated the problem by some illuminating examples and concluded that energy minimization principle can be a valid hypothesis. The investigation in this paper is more general as it is based to a certain extent on an analytical approach.

Citations

• Comparing Poiseuille with 1D Navier-Stokes Flow in Rigid and Distensible\n Tubes and Networks
• Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm

Cited by

• Using the stress function in the flow of generalized Newtonian fluids\n through conduits with non-circular or multiply connected cross sections

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