A three-dimensional mathematical model is presented that models bubble deformation of a dielectric fluid due to the presence of a nonuniform electric field and calculates the net dielectrophoretic force that is exerted by the electric field on the bubble. The study includes the development of a method of predicting the shape of a bubble based on the arbitrary distribution of stresses over its surface without requiring an axisymmetric configuration. The reciprocal effect of the bubble’s presence on the electric field is also incorporated into the model, and dimensional analysis is used to obtain a single key parameter that governs the bubble deformation phenomenon. Numerical implementation of the mathematical model shows that the bubble deformation can be significant. Furthermore, bubble deformation and electric field distortion can have significant effects on the dielectrophoretic behavior of bubbles in nonuniform fields, especially within small-scale devices where the bubble size and electrode spacing are similar in magnitude.
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Numerical Study of Dielectric Fluid Bubble Behavior Within Diverging External Electric Fields
Matthew R. Pearson,
Matthew R. Pearson
Two-Phase Flow and Heat Transfer Enhancement Laboratory, Mechanical, Materials, and Aerospace Engineering Department,
e-mail: pearmat@iit.edu
Illinois Institute of Technology
, 10 W. 32nd Street, Chicago, IL 60616
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Jamal Seyed-Yagoobi
Jamal Seyed-Yagoobi
Two-Phase Flow and Heat Transfer Enhancement Laboratory, Mechanical, Materials, and Aerospace Engineering Department,
e-mail: yagoobi@iit.edu
Illinois Institute of Technology
, 10 W. 32nd Street, Chicago, IL 60616
Search for other works by this author on:
Matthew R. Pearson
Two-Phase Flow and Heat Transfer Enhancement Laboratory, Mechanical, Materials, and Aerospace Engineering Department,
Illinois Institute of Technology
, 10 W. 32nd Street, Chicago, IL 60616e-mail: pearmat@iit.edu
Jamal Seyed-Yagoobi
Two-Phase Flow and Heat Transfer Enhancement Laboratory, Mechanical, Materials, and Aerospace Engineering Department,
Illinois Institute of Technology
, 10 W. 32nd Street, Chicago, IL 60616e-mail: yagoobi@iit.edu
J. Heat Transfer. Mar 2008, 130(3): 032901 (10 pages)
Published Online: March 6, 2008
Article history
Received:
September 5, 2006
Revised:
May 25, 2007
Published:
March 6, 2008
Citation
Pearson, M. R., and Seyed-Yagoobi, J. (March 6, 2008). "Numerical Study of Dielectric Fluid Bubble Behavior Within Diverging External Electric Fields." ASME. J. Heat Transfer. March 2008; 130(3): 032901. https://doi.org/10.1115/1.2804937
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