Towards predicting the onset of elastic turbulence in complex geometries
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Published version
Author(s)
Ekanem, Eseosa M
Berg, Steffen
De, Shauvik
Fadili, Ali
Luckham, Paul
Type
Journal Article
Abstract
Flow of complex fluids in porous structures is pertinent in many biological and industrial processes. For these applications, elastic turbulence, a viscoelastic instability occurring at low Re—arising from a non-trivial coupling of fluid rheology and flow geometry—is a common and relevant effect because of significant over-proportional increase in pressure drop and spatio-temporal distortion of the flow field. Therefore, significant efforts have been made to predict the onset of elastic turbulence in flow geometries with constrictions. The onset of flow perturbations to fluid streamlines is not adequately captured by Deborah and Weissenberg numbers. The introduction of more complex dimensionless numbers such as the M-criterion, which was meant as a simple and pragmatic method to predict the onset of elastic instabilities as an order-of-magnitude estimate, has been successful for simpler geometries. However, for more complex geometries which are encountered in many relevant applications, sometimes discrepancies between experimental observation and M-criteria prediction have been encountered. So far these discrepancies have been mainly attributed to the emergence from disorder. In this experimental study, we employ a single channel with multiple constrictions at varying distance and aspect ratios. We show that adjacent constrictions can interact via non-laminar flow field instabilities caused by a combination of individual geometry and viscoelastic rheology depending (besides other factors) explicitly on the distance between adjacent constrictions. This provides intuitive insight on a more conceptual level why the M-criteria predictions are not more precise. Our findings suggest that coupling of rheological effects and fluid geometry is more complex and implicit and controlled by more length scales than are currently employed. For translating bulk fluid, rheology determined by classical rheometry into the effective behaviour in complex porous geometries requires consideration of more than only one repeat element. Our findings open the path towards more accurate prediction of the onset of elastic turbulence, which many applications will benefit.
Date Issued
2022-05-16
Date Acceptance
2022-04-20
Citation
Transport in Porous Media, 2022, 143
ISSN
0169-3913
Publisher
Springer
Journal / Book Title
Transport in Porous Media
Volume
143
Copyright Statement
© The Author(s) 2022
License URL
Sponsor
Shell Global Solutions International BV
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000799430600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
PO no. 4550143956
Subjects
Science & Technology
Technology
Engineering, Chemical
Engineering
Multiple microchannel
Microfluidics
Viscoelasticity
Polymers
FLOW
CONSTRICTIONS
INSTABILITY
POLYMERS
Publication Status
Published
Date Publish Online
2022-05-16