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Transient heat transfer to a spheroidal liquid drop suspended in an electric field

โœ Scribed by M.A. Jog; M.A. Hader


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
671 KB
Volume
18
Category
Article
ISSN
0142-727X

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โœฆ Synopsis


Heat transfer to a spheroidal drop of a dielectric fluid suspended in another dielectric fluid in the presence of an electric field is investigated in this paper. The effect of drop deformation on the heat transport is analyzed. A range of prescribed drop deformations from b/a=O.99 to b/a=O.4 is considered. The electric potential distribution is numerically obtained for each deformed drop configuration. The resulting flow field is determined by the solution of the Navier-Stokes equations in the continuous and the dispersed phase. The transient heat transfer is studied in the limit of bulk of the resistance to the heat transport being in the droplet. An alternating-direction-implicit (ADI) method is used to obtain the transient temperature field for drop Peclet number from 5 to 1500. In the limiting case of negligible drop deformation, we recover the flow field and the electrically induced interfacial stresses for a liquid sphere calculated by analytical methods. Heat transfer results for a spherical drop (b/a=O.99) show excellent agreement with results available in the published literature. Study of drop deformation reveals interesting features in the flow and heat transport. The location of the maximum surface velocity moves toward the equatorial plane for a deformed drop compared to that for a liquid sphere. It is found that the increase in drop deformation results in higher steady state Nusselt numbers for very large as well as very small equivalent Peclet numbers. However, for intermediate equivalent drop Peclet numbers, the equivalent steady state Nusselt numbers for a deformed drop may be lower than for a sphere.


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