Journal ArticleDOI
The behavior of a sphere in non-homogeneous flows of a viscoelastic fluid
TLDR
The motion of a sphere, freely suspended in a second-order fluid under the condition of a nonhomogeneous flow field is investigated in this article, neglecting fluid inertia and, to be consistent, also particle inertia.Abstract:
The motion of a sphere, freely suspended in a second-order fluid under the condition of a non-homogeneous flow field is investigated. Neglecting fluid inertia and, to be consistent, also particle inertia a general result is derived. For Couette flow between rotating cylinders as well as for two-dimensional and circular Poiseuille flow, respectively, excellent agreement with experimental observations results. While for the two-dimensional converging flow essentially no deviation from the corresponding results for a Newtonian fluid is found drastic differences show up for the converging flow in a conical duct. Preferably in the narrow cones rather large spheres come to a halt (Uebler-effect). For small spheres no such effect is predicted but a now phenomenon arises: For cones whose half angle lies close to 80° or exceeds that value some of the spheres end up in the region of secondary flow. The resulting separation effect could be diminished by decreasing the cone angle.read more
Citations
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Journal ArticleDOI
The motion of a deformable drop in a second-order fluid
P. C.-H. Chan,L. G. Leal +1 more
TL;DR: In this paper, the cross-stream migration of a deformable drop in a unidirectional shear flow of a second-order fluid is considered and the particle velocity due to the separate effects of deformation and viscoelastic rheology is obtained.
Journal ArticleDOI
Particle dynamics in viscoelastic liquids
TL;DR: In this article, a review of the existing literature on the dynamics of non-Brownian particles in viscoelastic fluids is discussed, focusing on rigid particles passively transported in flowing viscous liquids.
Journal ArticleDOI
The motion of small particles in non-Newtonian fluids
TL;DR: In this article, the authors discuss the problems in which the motion of a small particle, bubble or drop in a non-Newtonian fluid differs in an important qualitative way from its corresponding motion in a Newtonian fluid.
Journal ArticleDOI
The reciprocal theorem in fluid dynamics and transport phenomena
Hassan Masoud,Howard A. Stone +1 more
TL;DR: How the reciprocal theorem can be utilized to solve fundamental problems in low-Reynolds-number hydrodynamics, aerodynamics, acoustics and heat/mass transfer, including convection is demonstrated.
Journal ArticleDOI
The motion of rigid particles in viscoelastic fluids
TL;DR: In this article, the motion of a rigid particle in a viscoelastic fluid under the assumption of negligible inertial effects (based on particle dimensions) was studied, focusing solely upon situations where no change of orientation or position of the particle is possible in a Newtonian solvent.
References
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Journal ArticleDOI
Particle Motions in Sheared Suspensions. XIX. Viscoelastic Media
A. Karnis,S. G. Mason +1 more
TL;DR: In this paper, the behavior of rigid and deformable particles suspended in viscoelastic fluids undergoing slow Couette and Poiseuille flows was studied experimentally, and the results showed that the deformation and burst of Newtonian liquid drops were as in Newtonian suspending liquids of comparable suspending phase viscosity, except for the alignment angle of the drop at zero deformation.
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
Verschiedene Phänomene in Strömungen viskoelastischer Flüssigkeiten durch Düsen
TL;DR: In this article, Metzner et al. present an approach to evaluate the Inhomogenitat des Spannungsfeldes im Einstrombereich gedeutet.
Journal ArticleDOI
The slow motion of a sphere in a second-order fluid
TL;DR: The slow motion of a rigid sphere in a viscoelastic fluid is studied in this paper, where only rheologically slow flows are employed and the resulting hydrodynamic force and couple are calculated and shown to be fundamentally different from the corresponding results in a Newtonian fluid.
Journal ArticleDOI
Stresses in a viscoelastic fluid in coverging and diverging flow
TL;DR: Stress in viscoelastic polystyrene in Aroclor flowing in straight, converging and diverging channels is studied in this article, where the authors show that it is stable in straight and converging channels.
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