Perturbation analysis of the helical flow of non-Newtonian fluids with application to a recirculating coaxial cylinder rheometer

Helical flows of complex fluids through annular regions have been studied extensively for their large spectrum of applications ranging from extrusion to mud drilling. Such flows include an axial flow in the presence of cylinder rotations, and they become coupled for complex fluids because of their shear thinning nature. Flows in annular confinements also find important applications in porous media and many biological and chemical systems, where electrokinetic effects in the form of surface charge and Electrical Double Layers (EDLs) might also play important roles. However, studies on helical flows of complex fluids in the presence of such effects are rather scarce. As such, here, we investigate helical flows of non-linear viscoelastic fluids in the presence of electrokinetic influences. We show that it is possible to write semi-analytical solutions for the velocity and the stress fields, even when the effects of EDL are present. We demonstrate that electro-osmotic effects compound the influence of the cylinder rotation, which can rapidly accelerate the volume throughput, even for moderate viscoelasticity. Our analysis brings out novel scaling regimes between the axial throughput and viscoelasticity. We further analyze to probe into the streaming potential resulting from a purely pressure driven flow and show that similar to the volume throughput, angular rotation also helps the streaming potential grow rapidly, even when the fluid is weakly viscoelastic.

show abstract

Unsteady Helical Flow of Giesekus Viscoelastic Fluid between Two Concentric Cylinders

Pourjafar

Salehi-Shabestari

2015

J. Soc. Rheol., Jpn

View full text Add to dashboard Cite

In this paper the unsteady helical flow of Giesekus fluid between two concentric cylinders is investigated numerically. The flow is impressed by inner cylinder's rotation and the outer cylinder's sliding or oscillating movement along its axial direction. The effects of Weissenberg number, the mobility parameter of Giesekus model, and frequency of oscillations on velocity field and shear stresses are studied. These results affirm the shear thinning behavior of Giesekus fluid. Also it was found that tangential shear stress at inner cylinder's surface, axial shear stress at outer cylinder's surface, and first normal stress difference decrease by increasing the mobility parameter and the approach of axial velocity or shear stresses to their steady periodic state values is postponed by decreasing the Reynolds number.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Perturbation analysis of the helical flow of non-Newtonian fluids with application to a recirculating coaxial cylinder rheometer

Cited by 6 publications

References 3 publications

Helical flow of a Bingham fluid arising from axial Poiseuille flow between coaxial cylinders

Helical flow of a Bingham fluid arising from axial Poiseuille flow between coaxial cylinders

Electrokinetic effects in helical flow of non-linear viscoelastic fluids

Unsteady Helical Flow of Giesekus Viscoelastic Fluid between Two Concentric Cylinders

Contact Info

Product

Resources

About