Further validation to the variational method to obtain flow relations for generalized Newtonian fluids

@article{Sochi2014FurtherVT,
  title={Further validation to the variational method to obtain flow relations for generalized Newtonian fluids},
  author={Taha Sochi},
  journal={Korea-Australia Rheology Journal},
  year={2014},
  volume={27},
  pages={113-124}
}
  • T. Sochi
  • Published 6 July 2014
  • Physics
  • Korea-Australia Rheology Journal
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 investigations we used the straight circular tube geometry with eight fluid rheological models to demonstrate and establish the variational method, the focus here is on the plane long thin slit geometry using those eight rheological models, namely: Newtonian, power law, Ree-Eyring, Carreau, Cross, Casson, Bingham and Herschel… 

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Variational approach for the flow of Ree-Eyring and Casson fluids in pipes

  • T. Sochi
  • Physics, Engineering
    Int. J. Model. Simul. Sci. Comput.
  • 2016
The flow of Ree-Eyring and Casson non-Newtonian fluids is investigated using a variational principle to optimize the total stress and the results are found to be identical within acceptable numerical errors and modeling approximations.