2005
DOI: 10.1063/1.2042489
|View full text |Cite
|
Sign up to set email alerts
|

Scission-induced bounds on maximum polymer drag reduction in turbulent flow

Abstract: We report the direct quantification of molar mass degradation in the drag-reducing polymers polyethylene oxide ͑PEO͒ and polyacrylamide ͑PAM͒ in turbulent pipe flows with an upstream tapered contraction. We find that entrance effects associated with the upstream contraction dominate the polymer degradation. Quantifying degradation according to the scaling relationship ␥ w ϰ M ws −n , the exponent n is determined to be −2.20± 0.21 and −2.73± 0.18 for PEO and PAM, respectively. Here M ws is the steady-state ͑or … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

6
58
0
1

Year Published

2008
2008
2017
2017

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 67 publications
(65 citation statements)
references
References 44 publications
6
58
0
1
Order By: Relevance
“…In pipe flows, Horn and Merrill (1984) have shown that the polymer chains break near the midpoint, effectively reducing the polymer molecular weight by 50%. Vanapalli et al (2005) and developed relationships relating the near-wall shear to the degradation of PEO with various molecular weights, and their results indicate that chain-scission occurs in PEO solutions at shear rates much lower than those of previous TBL studies and the present experiments.…”
Section: Introductionmentioning
confidence: 82%
“…In pipe flows, Horn and Merrill (1984) have shown that the polymer chains break near the midpoint, effectively reducing the polymer molecular weight by 50%. Vanapalli et al (2005) and developed relationships relating the near-wall shear to the degradation of PEO with various molecular weights, and their results indicate that chain-scission occurs in PEO solutions at shear rates much lower than those of previous TBL studies and the present experiments.…”
Section: Introductionmentioning
confidence: 82%
“…Until now, some researches [60,[64][65][66][67][68][69] have indicated that polymer molecular weight, molecular weight distribution, temperature, solvent solubility, polymer concentration, turbulent intensity, preparation and storage methods, entrance or end effects, and flow geometry may influence polymer degradation in turbulent flows. Nevertheless, it is noteworthy that due to various experimental conditions some conflicting results still exist when explaining degradation with the above factors.…”
Section: Effects Of Polymer Degradationmentioning
confidence: 99%
“…After realizing that degradation results in reduction of numbers of monomers in a molecule, Vanapalli et al [65] derived a relationship between the critical shear ratėand the molecular weight for degradation of PEO solutions followinġ∼ − , where the exponent was determined to be 2.2 for the turbulent flow with entrance effect. Following this result, Winkel et al [49] obtained a detailed equation for the degradation of PEO in the turbulent pipe flow aṡ = 3.23 × 10 18 × −2.20 .…”
Section: Effects Of Polymer Degradationmentioning
confidence: 99%
“…Several studies have underlined the advantages of such microfluidic devices [20][21][22][23][24]. In EVROC system, an extensional rate ε · is imposed through a controlled flow rate Q, the resulting extensional pressure drop ΔP ext is measured and the extensional viscosity η ext can be inferred: (11) where υ is a characteristic volume [25,26]. Data for extensional and shear viscosities are often compared using the Trouton number Tr: Picture and schematic representation of the API device used to induce mechanical degradation.…”
Section: Rheological Characterizationmentioning
confidence: 99%
“…As for turbulent flows, to our knowledge, only Vanapalli et al [11] established a relationship between a critical scission strain rate ε · c and molecular weight M, for polyethylene oxide dilute solutions: (4) with U c : critical mean velocity in the pipe of diameter D.…”
Section: Introductionmentioning
confidence: 99%