0
Research Papers: Multiphase Flows

Numerical Simulation of Two-Dimensional Drops Suspended in Simple Shear Flow at Nonzero Reynolds Numbers

[+] Author and Article Information
S. Mortazavi

Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156, Iransaeedm@cc.iut.ac.ir

Y. Afshar

Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156, Iranya_afshar@me.iut.ac.ir

H. Abbaspour

Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156, Iranabbaspour.ho@gmail.com

J. Fluids Eng 133(3), 031303 (Mar 16, 2011) (9 pages) doi:10.1115/1.4003688 History: Received March 03, 2010; Revised February 20, 2011; Published March 16, 2011; Online March 16, 2011

The motion of deformable drops suspended in a linear shear flow at nonzero Reynolds numbers is studied by numerical simulations in two dimensions. It is found that a deformable drop migrates toward the center of the channel in agreement with experimental findings at small Reynolds numbers. However, at relatively high Reynolds numbers (Re=80) and small deformation, the drop migrates to an equilibrium position off the centerline. Suspension of drops at a moderate areal fraction (φ=0.44) is studied by simulations of 36 drops. The flow is studied as a function of the Reynolds number and a shear thinning behavior is observed. The results for the normal stress difference show oscillations around a mean value at small Reynolds numbers, and it increases as the Reynolds number is raised. Simulations of drops at high areal fraction (φ=0.66) show that if the Capillary number is kept constant, the effective viscosity does not change in the range of considered Reynolds numbers (0.8–80). The normal stress difference is also a weak function of the Reynolds number. It is also found that similar to flows of granular materials, suspension of drops at finite Reynolds numbers shows the same trend for the density and fluctuation energy distribution across the channel.

Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Geometry for simulation of a drop in a rectangular channel

Grahic Jump Location
Figure 2

Lateral position versus time for a drop at Re=20

Grahic Jump Location
Figure 3

Streamlines for a drop suspended in a shear flow at Re=20 and Ca=0.006

Grahic Jump Location
Figure 4

Lateral position versus time for a drop at Ca=0.06

Grahic Jump Location
Figure 5

Average deformation versus Reynolds number for a drop at Ca=0.06

Grahic Jump Location
Figure 6

Lateral position versus time for a drop at Re=80 and Ca=0.006; the resolutions are 128×128 and 256×256 grids

Grahic Jump Location
Figure 7

A snapshot of simulation of 36 drops at (a) Re=0.8, Oh=1.92, Ca=0.01152, and φ=0.44, (b) Re=8, Oh=1.92, Ca=0.1152, and φ=0.44, and (c) Re=20, Oh=1.92, Ca=0.288, and φ=0.44

Grahic Jump Location
Figure 8

Effective viscosity versus time for suspension of 36 drops at Oh=1.192 and φ=0.44

Grahic Jump Location
Figure 9

Density distribution of drops across the channel for suspension of 36 drops at Oh=1.192 and φ=0.44

Grahic Jump Location
Figure 10

Average fluctuation energy across the channel for suspension of 36 drops at Oh=1.192 and φ=0.44

Grahic Jump Location
Figure 11

Normal stress difference versus time for suspension of 36 drops at Oh=1.192 and φ=0.44 at three Reynolds numbers, Re (a) 0.8, (b) 8, and (c) 20

Grahic Jump Location
Figure 12

A snapshot of simulation of 36 drops at Re=8, Ca=0.012, and φ=0.66

Grahic Jump Location
Figure 13

Effective viscosity versus time for suspension of 36 drops at Ca=0.012 and φ=0.66

Grahic Jump Location
Figure 14

Average fluctuation energy across the channel for suspension of 36 drops at Ca=0.012 and φ=0.66

Grahic Jump Location
Figure 15

Density distribution of drops across the channel for suspension of 36 drops at Ca=0.012 and φ=0.66

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In