# Solving the flow fields in conduits and networks using energy minimization principle with simulated annealing

@article{Sochi2014SolvingTF, title={Solving the flow fields in conduits and networks using energy minimization principle with simulated annealing}, author={Taha Sochi}, journal={arXiv: Fluid Dynamics}, year={2014} }

In this paper, we propose and test an intuitive assumption that the pressure field in single conduits and networks of interconnected conduits adjusts itself to minimize the total energy consumption required for transporting a specific quantity of fluid. We test this assumption by using linear flow models of Newtonian fluids transported through rigid tubes and networks in conjunction with a simulated annealing (SA) protocol to minimize the total energy cost. All the results confirm our…

## 5 Citations

### Deterministic and stochastic algorithms for resolving the flow fields in ducts and networks using energy minimization

- Physics
- 2014

Several deterministic and stochastic multi-variable global optimization algorithms (Conjugate Gradient, Nelder-Mead, Quasi-Newton, and Global) are investigated in conjunction with energy minimization…

### Energy minimization for the flow in ducts and networks

- Physics
- 2014

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…

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

- Engineering
- 2015

We investigate the possibility that the spatial dependency of stress in generalized Newtonian flow systems is a function of the applied pressure field and the conduit geometry but not of the fluid…

### Variational Approach for Resolving the Flow of Generalized Newtonian Fluids in Circular Pipes and Plane Slits

- Engineering
- 2015

We use a generic and general variational method to obtain solutions to the flow of generalized Newtonian fluids through circular pipes and plane slits. The new method is not based on the use of the…

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

- Engineering
- 2015

We investigate the possibility that the spatial dependency of stress in generalized Newtonian flow systems is a function of the applied pressure field and the conduit geometry but not of the fluid…

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