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Skin friction of power law fluids in turbulent flow over a flat plate
Author(s) -
McDonald A. T.,
Brandt Harry
Publication year - 1966
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690120406
Subject(s) - drag , power law fluid , mechanics , parasitic drag , shear rate , herschel–bulkley fluid , power law , turbulence , generalized newtonian fluid , exponent , viscosity , non newtonian fluid , newtonian fluid , drag equation , reynolds number , classical mechanics , thermodynamics , physics , mathematics , drag divergence mach number , linguistics , statistics , philosophy
An analysis is presented for skin friction of power law fluids in turbulent flow over a flat plate. A momentum balance is combined with a logarithmic velocity profile and the resulting equation is integrated. Skin friction is shown to be a function of non‐Newtonian Reynolds number and power law shear rate exponent. Closed form solutions for viscous drag are obtained for some values of shear rate exponent, but in general a numerical integration is necessary. The equations and curves presented are valid for any power law fluid. Computations may be carried out once the fluid viscosity and shear rate exponent are known. As an example, the results are applied to a power law fluid consisting of Carbopol in water. It is shown how viscous drag is affected by changes in the polymer concentration.