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Research Papers: Multiphase Flows

Dissipative Effects of Bubbles and Particles in Shear Flows

[+] Author and Article Information
Campbell Dinsmore

Department of Mechanical Engineering,
California State Polytechnic,
University at Pomona,
Pomona, CA 91768;
Department of Mechanical Engineering,
University of California at Riverside,
Riverside, CA 92521
e-mail: cadinsmore@cpp.edu

AmirHessam Aminfar

Department of Mechanical Engineering,
University of California at Riverside,
Riverside, CA 92521
e-mail: aamin006@ucr.edu

Marko Princevac

Department of Mechanical Engineering,
University of California at Riverside,
Riverside, CA 92521
e-mail: marko@engr.ucr.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 18, 2016; final manuscript received January 27, 2017; published online April 5, 2017. Assoc. Editor: Zhongquan Charlie Zheng.

J. Fluids Eng 139(6), 061302 (Apr 05, 2017) (12 pages) Paper No: FE-16-1103; doi: 10.1115/1.4035946 History: Received February 18, 2016; Revised January 27, 2017

Chemical reactors, air lubrication systems, and the aeration of the oceans rely, either in part or in whole, on the interaction of bubbles and their surrounding liquid. Even though bubbly mixtures have been studied at both the macroscopic and bubble level, the dissipation field associated with an individual bubble in a shear flow has not been thoroughly investigated. Exploring the nature of this phenomenon is critical not only when examining the effect a bubble has on the dissipation in a bulk shear flow but also when a microbubble interacts with turbulent eddies near the Kolmogorov length scale. In order to further our understanding of this behavior, this study investigated these interactions both analytically and experimentally. From an analytical perspective, expressions were developed to model the dissipation associated with the creeping flow fields in and around a fluid particle immersed in a linear shear flow. Experimentally, tests were conducted using a simple test setup that corroborated the general findings of the theoretical investigation. Both the analytical and experimental results indicate that the presence of bubbles in a shear flow causes elevated dissipation of kinetic energy.

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Figures

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Fig. 1

Definition of the shear flow relative to the coordinate axes as well as other aspects of the spatial geometry associated with the flow field. Note: this figure and figures or elements of Figs. 2, 3, and 7 were created using paraview, version 4.3.1 64-bit.

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Fig. 2

Streamlines associated with the analytical solution for the flow fields around and inside a bubble. Axes are normalized by the bubble radius, a.

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Fig. 3

Continuous phase dissipation field at the bubble surface for (a) λ = 0, (b) λ = 106. Note: scales are the same for both sub-plots.

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Fig. 4

Dissipation field in the xy-plane for the continuous phase flow field around the bubble. For an inviscid bubble [λ = 0], the following views are (a) top oriented, (b) bottom oriented, and (c) side. For a solid particle [λ = 106], the following views are (d) top oriented, (e) bottom oriented, and (f) side. Scales are the same as Fig. 3.

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Fig. 5

Top view of the dissipation field in the xy-plane of the continuous phase around the bubble for (a) λ = 0 and (b) λ = 106

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Fig. 7

Discrete phase dissipation field at the bubble surface for (a) λ = 0.1 (note relatively high maximum dissipation for a low value of λ) and (b) λ = 1. The scales are different for the subplots but the dissipation patterns are nearly identical. Note: the dissipation magnitude between these cases changed by a factor of approximately three.

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Fig. 8

Dissipation field in the xy-plane for the discrete phase flow field for (a) λ = 0.1 and (b) λ = 1

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Fig. 9

Normalized dissipation volume integral as a function of viscosity ratio for r/a between (a) 0 and 1 (bubble only), (b) 1 and 5 (liquid only), and (c) 0 and 5 (both bubble and liquid)

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Fig. 6

XY-plane dissipation field in the continuous phase for increasing viscosity ratios represented here in a polar system [r–ϕ]. The dissipation is projected down the ϕ-axis for (a) λ = 0, (b) λ = 0.1, (c) λ = 0.5, (d) λ = 1.058, (e) λ = 2, and (f) λ = 106. Scales are the same as Fig. 3. Note: the bubble is immediately to the left of the dissipation axis.

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Fig. 11

Experimental results plotted on a dimensionless time scale. The working fluids for the lower reservoir are indicated on the horizontal axis and those in the upper reservoir are indicated by the legend. The error bars at the top of each column indicate the standard deviation associated with each case.

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Fig. 10

Diagram of experimental setup. Not to scale.

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