Gene expression programming analysis of implicit colebrook-white equation in turbulent flow friction factor calculation

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@Article{Samadianfard2012,
  author =       "Saeed Samadianfard",
  title =        "Gene expression programming analysis of implicit
                 colebrook-white equation in turbulent flow friction
                 factor calculation",
  journal =      "Journal of Petroleum Science and Engineering",
  volume =       "92-93",
  pages =        "48--55",
  year =         "2012",
  ISSN =         "0920-4105",
  DOI =          "doi:10.1016/j.petrol.2012.06.005",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0920410512001477?v=s5",
  keywords =     "genetic algorithms, genetic programming, Gene
                 expression programming, Approximations, Colebrook-White
                 friction factor, Darcy-Weisbach equation, Turbulent
                 flow",
  abstract =     "Estimating head losses due to friction in closed pipes
                 is an important task in the solution of many practical
                 problems in the different branches of the engineering
                 profession. The hydraulic design and analysis of water
                 distribution systems are two prime examples. Many
                 consider the Darcy-Weisbach equation to be the most
                 fundamentally sound method for evaluating head losses
                 due to friction in closed pipe conduits. The implicit
                 Colebrook-White equation has been widely used to
                 estimate the friction factor for turbulent fluid-flow
                 in Darcy-Weisbach equation. A fast, accurate, and
                 robust resolution of the Colebrook-White equation is,
                 in particular, necessary for scientific intensive
                 computations. For instance, numerical simulations of
                 pipe flows require the computation of the friction
                 coefficient at each grid point and for each time step.
                 For long-term simulations of long pipes, the
                 Colebrook-White equation must therefore be solved a
                 huge number of times and hence this is the main reason
                 for attempting to develop an accurate explicit
                 relationship that is a reasonable approximation for the
                 Colebrook-White equation. This paper examines the
                 potential of genetic programming (GP) based technique
                 in estimating flow friction factor in comparison with
                 the most currently available explicit alternatives to
                 the Colebrook-White equation. The performance of the
                 gene expression programming (GEP), a variant of GP, was
                 compared with most available approximations using some
                 statistic parameters for error estimation. The
                 comparison test results reveal that by using GEP, the
                 friction factor can be identified precisely.",
  notes =        "See comment on in \cite{Vatankhah:2014:JPSE}",
}

Genetic Programming entries for Saeed Samadianfard

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