Anomalous predictions of pressure drop and heat transfer in ducts of arbitrary cross-section with modified power law fluids

S. Park, D. R. Lee

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)

    Abstract

    The apparent viscosities of purely viscous non-Newtonian fluids are shear rate dependent. At low shear rates, many of such fluids exhibit Newtonian behaviour while at higher shear rates non-Newtonian, power law characteristics exist. Between these two ranges, the fluid's viscous properties are neither Newtonian or power law. Utilizing an apparent viscosity constitutive equation called the "Modified Power Law" which accounts for the above behavior, solutions have been obtained for forced convection flows. A shear rate similarity parameter is identified which specifies both the shear rate range for a given fluid and set of operating conditions and the appropriate solution for that range. The results of numerical solutions for the friction factor-Reynolds number product and for the Nusselt number as a function of a dimensionless shear rate parameter have been presented for forced fully developed laminer duct flows of different cross-sections with modified power law fluids. Experimental data is also presented showing the suitability of the "Modified Power Law" constitutive equation to represent the apparent viscosity of various polymer solutions.

    Original languageEnglish
    Pages (from-to)141-149
    Number of pages9
    JournalHeat and Mass Transfer/Waerme- und Stoffuebertragung
    Volume38
    Issue number1
    DOIs
    Publication statusPublished - 2001 Nov

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Fluid Flow and Transfer Processes

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