Journal ArticleDOI
The influence of rheological properties on the slow flow past spheres
TLDR
In this article, the authors investigated the influence of rheological properties of various fluids on the translational motion of a sphere and concluded that small perturbation theories provided an adequate description of the flow field for the creeping flow regime.Abstract:
The present communication is intended as part of a systematic investigation of the influence of rheological properties of various fluids upon the translational motion of a sphere Drag measurements are presented for spheres of various diameters moving longitudinally with constant translational velocity, along the central axis of cylindrical containers of different radii Four different types of fluids (based upon measurements of shear viscosity and first normal stress difference) are considered, namely Newtonian, viscoelastic, inelastic and constant viscosity-elastic liquids The influence of each rheological property of these fluids upon the drag force is evaluated and analyzed In the case of negligible wall effects, it is concluded that small perturbation theories provide an adequate description of the flow field for the creeping flow regime The drag departure for viscoelastic liquids from the purely viscous Newtonian value has a quadratic dependence on the We number Elastic effects are of primary importance at extremely low shear rates For higher shear rates, shear thinning effects become predominant and an accurate drag prediction based on simple shear dependent viscosity values is presented For non-Newtonian fluids, wall proximity effects are considerably reduced from the purely viscous Newtonian value Both elasticity and shear thinning properties of the fluid contribute to that reduction Elastic effects on the drag may be accounted for using Caswell's wall correction term derived from small perturbation theories for creeping flow and its validity exceeds the limit of small We numbers; this is substantiated by numerical techniques Fluid elasticity diminishes wall effects but is a rapidly decreasing function, valid only for small We numbers and large sphere/container ratios Beyond this region, shear thinning effects are predominant both upon the drag force and upon the wall correction term These inelastic effects may be evaluated quite accurately using a modified version of Caswell's correction formula, which requires only a simple knowledge of the shear thinning viscosity functionread more
Citations
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Journal ArticleDOI
Flow of non-newtonian fluids in porous media
TL;DR: The study of flow of non-Newtonian fluids in porous media is very important and serves a wide variety of practical applications in processes such as enhanced oil recovery from underground reservoirs, filtration of polymer solutions and soil remediation through the removal of liquid pollutants.
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Flow of Non-Newtonian Fluids in Porous Media
TL;DR: The study of flow of non-Newtonian fluids in porous media is very important and serves a wide variety of practical applications in processes such as enhanced oil recovery from underground reservoirs, filtration of polymer solutions and soil remediation through the removal of liquid pollutants as mentioned in this paper.
Journal ArticleDOI
Finite element analysis of steady viscoelastic flow around a sphere in a tube: calculations with constant viscosity models
TL;DR: In this article, the inertialess flow of a viscoelastic fluid around a sphere falling in a cylindrical tube is computed using finite element analysis (FEA).
Journal ArticleDOI
Flow of a wormlike micelle solution past a falling sphere
Sheng Chen,Jonathan P. Rothstein +1 more
TL;DR: In this article, an entangled worm-like micelle solution of 0.05% cetyletrimethylammonium bromide and 0.5% sodium salicylate dissolved in water was experimentally studied.
Journal ArticleDOI
Hydrodynamic Interactions Among Bubbles, Drops, and Particles in Non-Newtonian Liquids
Roberto Zenit,James J. Feng +1 more
TL;DR: In this article, the authors summarize recent efforts at gaining fundamental understanding of hydrodynamic interactions in non-Newtonian liquids, focusing on gravity-driven flows: rise or sedimentation of single spheroidal objects, pairs, and dispersions.
References
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Journal ArticleDOI
Die simultane Translations- und Rotationsbewegung einer Kugel in einer elastoviskosen Flüssigkeit
TL;DR: In this paper, the Messung von Kraft and Moment bei der simultanen Translations-and Rotationsbewegung einer Kugel in einer allgemeinen inkompressiblen elastoviskosen Flussigkeit is discussed.
Journal ArticleDOI
The slow flow of a visco-elastic liquid past a sphere
Frank M. Leslie,R. I. Tanner +1 more
Journal ArticleDOI
The drag on a sphere in a power-law fluid
Gu Dazhi,Roger I. Tanner +1 more
TL;DR: In this paper, the authors used finite-element programs to estimate the drag on an unbounded fluid in an (inelastic) power-law fluid and showed that wall effects are negligible forn ⩽ 0.5.
Journal ArticleDOI
The influence of fluid elasticity on the drag coefficient for creeping flow around a sphere
TL;DR: In this article, the effect of fluid elasticity on the drag coefficient in the absence of any significant shear-thinning effects is clearly demonstrated, and a continuous reduction in drag below the Stokes value is observed until an asymptotic reduction of 26% is reached for We >/ 0.7.
Journal ArticleDOI
The creeping motion of a non-Newtonian fluid past a sphere
B. Caswell,W. H. Schwarz +1 more
TL;DR: In this article, the boundary conditions for slow flow past a sphere are satisfied by matching inner (Stokes) and outer (Oseen) Reynolds-number expansions of the stream function, the terms in the inner expansion are the solutions of nonlinear partial differential equations which are solved approximately by expanding in terms of a non-Newtonian parameter λ.
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