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

Simsoo Park, D. R. Lee

Research output: Contribution to journalArticle

4 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
Publication statusPublished - 2002 Jan 1

Fingerprint

drop transfer
pressure drop
ducts
Ducts
Shear deformation
Pressure drop
heat transfer
shear
Heat transfer
Fluids
fluids
cross sections
predictions
constitutive equations
Viscosity
viscosity
Constitutive equations
friction factor
Newtonian fluids
forced convection

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Physical and Theoretical Chemistry
  • Computational Mechanics
  • Mechanics of Materials

Cite this

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N2 - 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.

AB - 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.

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