1999
DOI: 10.1002/(sici)1521-3927(19990301)20:3<144::aid-marc144>3.0.co;2-6
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Drag reduction and solvation in polymer solutions

Abstract: SUMMARY: A model is described which explains drag reduction (DR) in dilute polymer solutions in terms of solvation of macromolecular chains and formation of relatively stable domains. The domains partly suppress the vortex formation, act as energy sinks, and also play a role in mechanical degradation in flow (MDF). We report ultrasonically determined solvation numbers for a series of copolymers with the same chemical structure but differing widely in their intrinsic viscosities. The solvation numbers confirm t… Show more

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Cited by 26 publications
(19 citation statements)
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“…Among various efforts to explain the DR phenomena as a result of mechanical degradation in flow, Brostow [28] developed a statistical-mechanical model of polymer chain conformation and showed that the obtained solvation numbers were well correlated with their theory, which explains DR in dilute polymer solutions in terms of the solvation of macromolecular chains and the formation of relatively stable, energy-sinking domains [29]. On the other hand, an elastic theory of DR was introduced to discuss the properties of homogeneous, isotropic, three-dimensional turbulence in the presence of polymer additives with no wall effect [30].…”
Section: Mechanism Of Drmentioning
confidence: 80%
See 1 more Smart Citation
“…Among various efforts to explain the DR phenomena as a result of mechanical degradation in flow, Brostow [28] developed a statistical-mechanical model of polymer chain conformation and showed that the obtained solvation numbers were well correlated with their theory, which explains DR in dilute polymer solutions in terms of the solvation of macromolecular chains and the formation of relatively stable, energy-sinking domains [29]. On the other hand, an elastic theory of DR was introduced to discuss the properties of homogeneous, isotropic, three-dimensional turbulence in the presence of polymer additives with no wall effect [30].…”
Section: Mechanism Of Drmentioning
confidence: 80%
“…This behavior is considered to be due to the combination of two factors: the initial increase in DR is presumably due to the increasing number of polymer molecules present, which causes the decay of turbulent eddies, whereas the shear viscosity becomes increasingly significant at higher concentrations of polymer, and the Reynolds number decreases compared to that of the initial state. Furthermore, the overshoot of the DR at c = 50 ppm for Figure 4 was explained by the Brownian dynamics simulation results showing that partial disentanglement of entanglements that existed at rest takes place in flow [29,55,56]. Zhang et al [55] considered that further addition of the DR agent does not change that DR efficiency since much of the solvent is already solvated by the DR agent chains.…”
Section: Polymer Concentration Effectmentioning
confidence: 99%
“…The practical applications of the DR phenomenon involve sometimes concentrations as low as 10 ppm. In 1999, Brostow, Singh, and Majumdar [76] provided direct experimental evidence for the Brostow model [72]. The model assumes that the larger the volume pervaded by polymer chains, the higher is the DR. Ultrasonic measurements of the solvation numbers and of DR efficiency show that indeed the solvation numbers go symbiotically with that efficacy.…”
Section: Drag Reductionmentioning
confidence: 98%
“…As one can easily infer from Fig. 3, the larger is the volume pervaded by polymer chains, the higher is DR. Acoustic measurements of the solvation numbers and of DR efficacy have shown that indeed the solvation numbers go symbatically with that efficacy [24]. This result provides us also with a tool to choose between several polymers as candidates for a DR agent for a given fluid: the higher the solvation number calculated from the ultrasound velocity, the better will be the DR efficacy.…”
Section: Mechanism Of Drag Reductionmentioning
confidence: 99%