Undulatory swimming in non-Newtonian fluids

2015 ◽  
Vol 784 ◽  
Author(s):  
Gaojin Li ◽  
Arezoo M. Ardekani
Keyword(s):  
Swimming Speed ◽  
Scaling Law ◽  
Shear Thinning ◽  
The Other ◽  
Universal Scaling ◽  
Fluid Properties ◽  
Arbitrary Amplitude ◽  
Inelastic Shear ◽  
Undulatory Swimming ◽  
Shear Thinning Fluid

We numerically investigate the effects of non-Newtonian fluid properties, including shear thinning and elasticity, on the locomotion of Taylor’s swimming sheet with arbitrary amplitude. Our results show that elasticity hinders the swimming speed, but a shear-thinning viscosity in the absence of elasticity enhances the speed. The combination of the two effects, modelled using a Giesekus constitutive equation, hinders the swimming speed. We find that the swimming speed of an infinitely long waving sheet in an inelastic shear-thinning fluid has a maximum, whose value depends on the sheet undulation amplitude and the fluid rheological properties. The power consumption, on the other hand, follows a universal scaling law.

scholarly journals Soft Matter Emerging Investigators Issue 2021 - "Propulsion of an elastic filament in a shear-thinning fluid at low Reynolds numbers"

Soft Matter ◽  
2021 ◽  
Author(s):  
Ke Qin ◽  
Zhiwei Peng ◽  
Ye Chen ◽  
Herve Nganguia ◽  
Lailai Zhu ◽  
...  
Keyword(s):  
Soft Matter ◽  
Reynolds Numbers ◽  
Shear Thinning ◽  
Low Reynolds Numbers ◽  
Elastic Filament ◽  
Low Reynolds ◽  
Micro Organisms ◽  
Surrounding Fluid ◽  
Shear Thinning Fluid ◽  
Flexible Appendages

Some micro-organisms and artificial micro-swimmers propel at low Reynolds numbers (Re) via the interaction of their flexible appendages with the surrounding fluid. While their locomotion have been extensively studied with...

scholarly journals Swimming efficiency in a shear-thinning fluid

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Herve Nganguia ◽  
Kyle Pietrzyk ◽  
On Shun Pak
Keyword(s):  
Shear Thinning ◽  
Swimming Efficiency ◽  
Shear Thinning Fluid

scholarly journals Liquid–Liquid Flows with Non-Newtonian Dispersed Phase in a T-Junction Microchannel

Micromachines ◽  
2021 ◽  
Vol 12 (3) ◽  
pp. 335
Author(s):  
Anna Yagodnitsyna ◽  
Alexander Kovalev ◽  
Artur Bilsky
Keyword(s):  
Flow Pattern ◽  
Dynamic Viscosity ◽  
Slug Flow ◽  
Shear Thinning ◽  
Continuous Phase ◽  
Immiscible Liquid ◽  
Dispersed Phase ◽  
Effective Dynamic ◽  
Liquid Flows ◽  
Shear Thinning Fluid

Immiscible liquid–liquid flows in microchannels are used extensively in various chemical and biological lab-on-a-chip systems when it is very important to predict the expected flow pattern for a variety of fluids and channel geometries. Commonly, biological and other complex liquids express non-Newtonian properties in a dispersed phase. Features and behavior of such systems are not clear to date. In this paper, immiscible liquid–liquid flow in a T-shaped microchannel was studied by means of high-speed visualization, with an aim to reveal the shear-thinning effect on the flow patterns and slug-flow features. Three shear-thinning and three Newtonian fluids were used as dispersed phases, while Newtonian castor oil was a continuous phase. For the first time, the influence of the non-Newtonian dispersed phase on the transition from segmented to continuous flow is shown and quantitatively described. Flow-pattern maps were constructed using nondimensional complex We0.4·Oh0.6 depicting similarity in the continuous-to-segmented flow transition line. Using available experimental data, the proposed nondimensional complex is shown to be effectively applied for flow-pattern map construction when the continuous phase exhibits non-Newtonian properties as well. The models to evaluate an effective dynamic viscosity of a shear-thinning fluid are discussed. The most appropriate model of average-shear-rate estimation based on bulk velocity was chosen and applied to evaluate an effective dynamic viscosity of a shear-thinning fluid. For a slug flow, it was found that in the case of shear-thinning dispersed phase at low flow rates of both phases, a jetting regime of slug formation was established, leading to a dramatic increase in slug length.

scholarly journals Cope’s Rule and the Universal Scaling Law of Ornament Complexity

2015 ◽  
Vol 186 (2) ◽  
pp. 165-175 ◽  
Author(s):  
Pasquale Raia ◽  
Federico Passaro ◽  
Francesco Carotenuto ◽  
Leonardo Maiorino ◽  
Paolo Piras ◽  
...  
Keyword(s):  
Scaling Law ◽  
Universal Scaling ◽  
Cope’S Rule

scholarly journals Purely viscous flow of a shear-thinning fluid between two rotating spheres

2004 ◽  
Vol 59 (2) ◽  
pp. 417-424 ◽  
Author(s):  
Eric Lee ◽  
June-Kuo Ming ◽  
Jyh-Ping Hsu
Keyword(s):  
Viscous Flow ◽  
Shear Thinning ◽  
Shear Thinning Fluid
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