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Journal ArticleDOI

Viscous flow in a cylindrical tube containing a line of spherical particles.

Henry Wang, +1 more
- 14 Aug 1969 - 
- Vol. 38, Iss: 01, pp 75-96
TLDR
Viscous flow in a circular cylindrical tube containing an infinite line of rigid spheroidal particles equally spaced along the axis of the tube is considered for uniform axial translation of the spheroids and flow past a line of stationary spheriods and under an imposed pressure gradient as mentioned in this paper.
Abstract
Viscous flow in a circular cylindrical tube containing an infinite line of rigid spheroidal particles equally spaced along the axis of the tube is considered for (a) uniform axial translation of the spheroids (b) flow past a line of stationary spheriods and (c) flow of the suspending fluid and spheroids under an imposed pressure gradient. The fluid is assumed to be incompressible and Newtonian. The Reynolds number is assumed to be small and the equations of creeping flow are used.

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Citations
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Journal ArticleDOI

Hindrance Factors for Diffusion and Convection in Pores

TL;DR: In this article, the current status of hindered transport theory is reviewed for neutral spheres in long cylindrical pores or slits, and it is shown that such approximations are no longer necessary.
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The motion of a closely-fitting sphere in a fluid-filled tube

TL;DR: In this article, singular perturbation techniques are used to investigate the slow, asymmetric flow around a sphere positioned eccentrically within a long, circular, cylindrical tube filled with viscous fluid.
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Flow patterns in liquid slugs during bubble-train flow inside capillaries

TL;DR: In this paper, high-speed video imaging was used to characterize liquid flow patterns and velocity distributions inside liquid slugs were determined by particle imaging velocimetry (PIV).
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Flow-induced clustering and alignment of vesicles and red blood cells in microcapillaries.

TL;DR: This model combines a particle-based mesoscale simulation technique for the fluid hydrodynamics with a triangulated-membrane model and shows that already at very low HT, the deformability of RBCs implies a flow-induced cluster formation above a threshold flow velocity.
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Dynamics of confined polymer chains

TL;DR: In this paper, the authors study the motions of a single polymer chain trapped inside a very thin capillary (or slit) and incorporate all excluded volume effects and hydrodynamic interactions through a scaling analysis.
References
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Book

The theory of spherical and ellipsoidal harmonics

TL;DR: The transformation of Laplace's equation in polar coordinates and the Legendres associated functions can be found in this article, where the authors also give approximate values of the generalized Legendres functions.
Journal ArticleDOI

Pressure-forcing of tightly fitting pellets along fluid-filled elastic tubes

TL;DR: In this paper, a simple axisymmetric model is used to study the behavior of tightly fitting solid pellets, which may be deformable, and are being forced by a pressure difference to move slowly along a distensible tube filled with viscous fluid.
Journal ArticleDOI

The Rheology of Blood

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