Reduced and increased flow resistance in shear-dominated flows of Oldroyd-B fluids

Stylianos Varchanis; John Tsamopoulos; Amy Q. Shen; Simon J. Haward

doi:10.1016/j.jnnfm.2021.104698

Reduced and increased flow resistance in shear-dominated flows of Oldroyd-B fluids

Stylianos Varchanis, John Tsamopoulos, Amy Q. Shen, Simon J. Haward

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We present a comprehensive analytical and numerical study of shear-dominated flows of Oldroyd-B fluids. Starting from transient ideal Couette flow, we show that less work is required to increase the shear rate than to decrease it. Generalizing this observation to non-homogeneous steady flows, we show that reduced flow resistance is present around streamlines with increasing shear rate and increased flow resistance is present around streamlines with decreasing shear rate. We demonstrate this effect in smoothly converging or diverging Couette and Poiseuille flows. Finally, we show that the reduced flow resistance observed in the flow past a cylinder in a straight channel is caused by the contraction-expansion-like flow that takes place at the sides of the cylinder. Our findings are validated by a wide parametric analysis regarding the geometrical characteristics of the flow domains and the material parameters of the Oldroyd-B model.

Original language	English (US)
Article number	104698
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	300
DOIs	https://doi.org/10.1016/j.jnnfm.2021.104698
State	Published - Feb 2022

Keywords

Contraction flow
Drag reduction
Expansion flow
Flow past a cylinder in a channel
Flow resistance
Oldroyd-B model
Pressure drop
Solvent viscosity
Viscoelastic fluids

ASJC Scopus subject areas

Chemical Engineering(all)
Materials Science(all)
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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10.1016/j.jnnfm.2021.104698

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title = "Reduced and increased flow resistance in shear-dominated flows of Oldroyd-B fluids",

abstract = "We present a comprehensive analytical and numerical study of shear-dominated flows of Oldroyd-B fluids. Starting from transient ideal Couette flow, we show that less work is required to increase the shear rate than to decrease it. Generalizing this observation to non-homogeneous steady flows, we show that reduced flow resistance is present around streamlines with increasing shear rate and increased flow resistance is present around streamlines with decreasing shear rate. We demonstrate this effect in smoothly converging or diverging Couette and Poiseuille flows. Finally, we show that the reduced flow resistance observed in the flow past a cylinder in a straight channel is caused by the contraction-expansion-like flow that takes place at the sides of the cylinder. Our findings are validated by a wide parametric analysis regarding the geometrical characteristics of the flow domains and the material parameters of the Oldroyd-B model.",

keywords = "Contraction flow, Drag reduction, Expansion flow, Flow past a cylinder in a channel, Flow resistance, Oldroyd-B model, Pressure drop, Solvent viscosity, Viscoelastic fluids",

author = "Stylianos Varchanis and John Tsamopoulos and Shen, {Amy Q.} and Haward, {Simon J.}",

note = "Funding Information: SV, AQS, and SJH gratefully acknowledge the support of the Okinawa Institute of Science and Technology Graduate University (OIST), Japan with subsidy funding from the Cabinet Office, Government of Japan, and also funding from the Japan Society for the Promotion of Science (JSPS, Grant Nos. 21K03884 ) and the Joint Research Projects (JRPs) supported by the JSPS and the Swiss National Science Foundation (SNSF) . JT has been supported financially by the Hellenic Foundation of Research and Innovation, Greece , grant HFRI FM17-2309 MOFLOWMAT . The authors are grateful for the help and support provided by the Scientific Computing and Data Analysis section of Research Support Division at OIST, Japan . Publisher Copyright: {\textcopyright} 2021 The Authors",

year = "2022",

month = feb,

doi = "10.1016/j.jnnfm.2021.104698",

language = "English (US)",

volume = "300",

journal = "Journal of Non-Newtonian Fluid Mechanics",

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T1 - Reduced and increased flow resistance in shear-dominated flows of Oldroyd-B fluids

AU - Varchanis, Stylianos

AU - Tsamopoulos, John

AU - Shen, Amy Q.

AU - Haward, Simon J.

N1 - Funding Information: SV, AQS, and SJH gratefully acknowledge the support of the Okinawa Institute of Science and Technology Graduate University (OIST), Japan with subsidy funding from the Cabinet Office, Government of Japan, and also funding from the Japan Society for the Promotion of Science (JSPS, Grant Nos. 21K03884 ) and the Joint Research Projects (JRPs) supported by the JSPS and the Swiss National Science Foundation (SNSF) . JT has been supported financially by the Hellenic Foundation of Research and Innovation, Greece , grant HFRI FM17-2309 MOFLOWMAT . The authors are grateful for the help and support provided by the Scientific Computing and Data Analysis section of Research Support Division at OIST, Japan . Publisher Copyright: © 2021 The Authors

PY - 2022/2

Y1 - 2022/2

N2 - We present a comprehensive analytical and numerical study of shear-dominated flows of Oldroyd-B fluids. Starting from transient ideal Couette flow, we show that less work is required to increase the shear rate than to decrease it. Generalizing this observation to non-homogeneous steady flows, we show that reduced flow resistance is present around streamlines with increasing shear rate and increased flow resistance is present around streamlines with decreasing shear rate. We demonstrate this effect in smoothly converging or diverging Couette and Poiseuille flows. Finally, we show that the reduced flow resistance observed in the flow past a cylinder in a straight channel is caused by the contraction-expansion-like flow that takes place at the sides of the cylinder. Our findings are validated by a wide parametric analysis regarding the geometrical characteristics of the flow domains and the material parameters of the Oldroyd-B model.

AB - We present a comprehensive analytical and numerical study of shear-dominated flows of Oldroyd-B fluids. Starting from transient ideal Couette flow, we show that less work is required to increase the shear rate than to decrease it. Generalizing this observation to non-homogeneous steady flows, we show that reduced flow resistance is present around streamlines with increasing shear rate and increased flow resistance is present around streamlines with decreasing shear rate. We demonstrate this effect in smoothly converging or diverging Couette and Poiseuille flows. Finally, we show that the reduced flow resistance observed in the flow past a cylinder in a straight channel is caused by the contraction-expansion-like flow that takes place at the sides of the cylinder. Our findings are validated by a wide parametric analysis regarding the geometrical characteristics of the flow domains and the material parameters of the Oldroyd-B model.

KW - Contraction flow

KW - Drag reduction

KW - Expansion flow

KW - Flow past a cylinder in a channel

KW - Flow resistance

KW - Oldroyd-B model

KW - Pressure drop

KW - Solvent viscosity

KW - Viscoelastic fluids

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JO - Journal of Non-Newtonian Fluid Mechanics

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SN - 0377-0257

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ER -

Reduced and increased flow resistance in shear-dominated flows of Oldroyd-B fluids

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Keywords

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