Experimental and numerical study of friction factor for a modified power law fluid in a rectangular duct

Simsoo Park, T. F. Irvine, M. Capobianchi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Numerical solutions are presented for fully developed laminar flow for a modified power law fluid (MPL) in a rectangular duct. The solutions are applicable to pseudoplastic fluids over a wide shear rate range from Newtonian behavior at low shear rates, through a transition region, to power law behavior at higher shear rates. The analysis identified a dimensionless shear rate parameter that for a given set of operating conditions specifies where in the shear rate range a particular system is operating, that is, in the Newtonian, transition, or power law regions. The numerical results of the friction factor times Reynolds number for the Newtonian and power law region are compared with previously published results showing agreement within 0.05% in the Newtonian region and 0.9 and 5.1% in the power law region, respectively. Rheological flow curves were measured for three CMC-7H4 solutions and were found to be well represented by the MPL constitutive equation. The friction factor times Reynolds number values were measured in the transition region for which previous measurements were unavailable. Good agreement was found between experiment and calculation, thus confirming the validity of the analysis.

Original languageEnglish
Pages (from-to)61-68
Number of pages8
JournalExperimental Thermal and Fluid Science
Issue number1
Publication statusPublished - 1994 Jul
Externally publishedYes


  • laminar flow
  • modified power law fluid
  • non-Newtonian fluid
  • rectangular duct flow

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Nuclear Energy and Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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