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Research Papers: Multiphase Flows

Rotational Motion of Large Particulate Doublets in Poiseuille Flow in a Capillary

[+] Author and Article Information
E. J. McKeever

Department of Mechanical Engineering, The Pennsylvania State University, 157 Hammond Building, University Park, PA 16802

K. V. Sharp1

Department of Mechanical Engineering, The Pennsylvania State University, 157 Hammond Building, University Park, PA 16802ksharp@mne.psu.edu

1

Corresponding author.

J. Fluids Eng 130(2), 021301 (Jan 25, 2008) (9 pages) doi:10.1115/1.2829581 History: Received October 31, 2006; Revised September 24, 2007; Published January 25, 2008

Doublets of 48-μm-diameter polystyrene latex particles are experimentally tracked in a Poiseuille flow in a capillary tube. The rotational motion of nine doublets is observed using video microscopy with a translating stage. The particle diameter to capillary diameter ratio is 0.17, volume concentration 0.5%, and Reynolds number approximately 0.5. The rotational motions of the “large” particulate doublets are compared with theory originally developed for doublets with particle-to-tube diameters of the order of 0.04; the doublet rotations in the present experiments agree reasonably well with the earlier theory when the shear rate for the large doublet is defined based on the location of the centroid of shear rather than the shear rate at the radial center of mass of the rotating doublet. Additionally, these doublets are readily classified as primary or secondary on the basis of the rotational period.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Coordinate system definition. The Y-Z plane is the side view, and the X-Z plane is the bottom view. ϕ is the angle measured from the Y axis toward the Z axis, and θ is the angle measured from the X axis toward the Z axis.

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Figure 2

Particle interaction geometry

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Figure 3

Calculation of rcentroid based on the shape of the shear rate as a function of r. For Poiseuille flow, the shear rate increases linearly from the center of the capillary to the capillary wall. For a doublet with rc.m. greater than 2a, the shear rate along the height of the doublet is trapezoidal in shape.

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Figure 4

Schematic of experimental setup

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Figure 5

Example of video frame analyzed in AutoCAD

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Figure 6

Energy versus particle separation distance based on DLVO model (Eq. 15) for 48μm PSL particles of −95mV and −222mV

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Figure 7

ϕ versus tG for observed doublets classified as primary (re=1.982)

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Figure 8

ϕ versus tG for observed doublets classified as secondary (re=3.165)

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