1964
DOI: 10.1002/aic.690100528
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Velocity profiles of thoria suspensions in turbulent pipe flow

Abstract: Equation (1) can be rearranged into the form where the term on the left is known as the velocity defect. When one assumes that the flow is essentially all in the turbulent core, Equation (1) can be integrated across the pipe to yield the classical von Karman friction factorReynolds number correlation (1 ). Equations ( 1 ) and (3), being applicable to all Newtonian fluids, provide a useful basis for comparing Newtonian and non-Newtonian velocity profiles. In the case of Equation ( 1 ) (and also for any friction… Show more

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Cited by 19 publications
(4 citation statements)
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“…If the thickness of the viscous sub-layer is assumed to be unchanged, then it would be expected that the friction factor for the non-Newtonian flow would be nearly the same as that for a Newtonian flow at the same Reynolds number, pDV/r). This appoach was followed by Eissenberg and Bogue (1964) and by Edwards and Smith (1980), and their papers will be discussed later.…”
Section: Macro Eddiesmentioning
confidence: 99%
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“…If the thickness of the viscous sub-layer is assumed to be unchanged, then it would be expected that the friction factor for the non-Newtonian flow would be nearly the same as that for a Newtonian flow at the same Reynolds number, pDV/r). This appoach was followed by Eissenberg and Bogue (1964) and by Edwards and Smith (1980), and their papers will be discussed later.…”
Section: Macro Eddiesmentioning
confidence: 99%
“…The alternate presentation of new analysis shown on Figure 3 uses the secant viscosity based on the prevailing wall shear stress. It was noted previously that Eissenberg and Bogue (1964) and Edwards and Smith (1980) also used the secant viscosity. For mildly non-Newtonian fluids ( n 2 0.89) they found that this approach generally resulted in velocity profiles and friction factors identical to the Newtonian values, whereas for more highly non-Newtonian fluids ( n < 0.89) this agreement was generally not found.…”
Section: Re' = Pdnv'*-")/k'8'"-')mentioning
confidence: 99%
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“…Simple measurements such as viscosity-shear rate data in the laminar region are insufficient. Theories of Drag Reduction Dodge (8, 9) suggested viscoelastic effects as an explanation of the failure of his CMC data to fit Equation 4, and most investigators (2,5,10,13,15,20,22,25,31,40) have preferred his hypothesis. But there is still confusion in the literature regarding earlier theories of drag reduction.…”
Section: Previous Workmentioning
confidence: 99%