194 citations · 1.1k across the 61 of their papers we have counts for
7 papers · 2 filters
Deterministic and stochastic algorithms for resolving the flow fields in ducts and networks using energy minimization
Taha Sochi
Several deterministic and stochastic multi-variable global optimization algorithms (Conjugate Gradient, Nelder-Mead, Quasi-Newton, and Global) are investigated in conjunction with…
Energy minimization for the flow in ducts and networks
Taha Sochi
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 fie…
Variational approach for the flow of Ree-Eyring and Casson fluids in pipes
Taha Sochi
The flow of Ree-Eyring and Casson non-Newtonian fluids is investigated using a variational principle to optimize the total stress. The variationally-obtained solutions are compared…
Solving the flow fields in conduits and networks using energy minimization principle with simulated annealing
Taha Sochi
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 e…
Further validation to the variational method to obtain flow relations for generalized Newtonian fluids
Taha Sochi
We continue our investigation to the use of the variational method to derive flow relations for generalized Newtonian fluids in confined geometries. While in the previous investiga…
The flow of power law fluids in elastic networks and porous media
Taha Sochi
The flow of power law fluids, which include shear thinning and shear thickening as well as Newtonian as a special case, in networks of interconnected elastic tubes is investigated…