Scission-induced bounds on maximum polymer drag reduction in turbulent flow
dc.contributor.author | Vanapalli, Siva A. | en_US |
dc.contributor.author | Islam, Mohammad T. | en_US |
dc.contributor.author | Solomon, Michael J. | en_US |
dc.date.accessioned | 2011-11-15T15:57:56Z | |
dc.date.available | 2011-11-15T15:57:56Z | |
dc.date.issued | 2005-09 | en_US |
dc.identifier.citation | Vanapalli, Siva A.; Islam, Mohammad T.; Solomon, Michael J. (2005). "Scission-induced bounds on maximum polymer drag reduction in turbulent flow." Physics of Fluids 17(9): 095108-095108-11. <http://hdl.handle.net/2027.42/87297> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/87297 | |
dc.description.abstract | We report the direct quantification of molar mass degradation in the drag-reducing polymers polyethylene oxide (PEO) and polyacrylamide (PAM) 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∝Mws−nγ̇w∝Mws−n, the exponent nn is determined to be −2.20±0.21−2.20±0.21 and −2.73±0.18−2.73±0.18 for PEO and PAM, respectively. Here MwsMws is the steady-state (or limiting) weight-average scission molar mass. A methodology is devised to circumvent polymer degradation due to the upstream contraction and thereby conduct degradation experiments in which only the turbulent flow in the pipe is responsible for chain scission. In this case, the scission-scaling relationship for PEO is w∝Mw−3.20±0.28γ̇w∝Mw−3.20±0.28. Here MwMw is the degraded weight-average molar mass after one pass through the 1.63-m length of pipe. Based on these scaling relationships we obtain a new upper limit for polymer drag reduction that is determined by chain scission rather than the maximum drag reduction asymptote. | en_US |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Scission-induced bounds on maximum polymer drag reduction in turbulent flow | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.contributor.affiliationum | Department of Chemical Engineering and Macromolecular Science and Engineering Program, University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/87297/2/095108_1.pdf | |
dc.identifier.doi | 10.1063/1.2042489 | en_US |
dc.identifier.source | Physics of Fluids | en_US |
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dc.owningcollname | Physics, Department of |
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