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Technical Briefs

Thermal Homogenization in Spherical Reservoir by Electrohydrodynamic Conduction Phenomenon

[+] Author and Article Information
Miad Yazdani

Department of Mechanical, Materials and Aerospace Engineering, Two-Phase Flow and Heat Transfer Enhancement Laboratory, Illinois Institute of Technology, Chicago, IL 60616myazdan1@iit.edu

Jamal Seyed-Yagoobi

Department of Mechanical, Materials and Aerospace Engineering, Two-Phase Flow and Heat Transfer Enhancement Laboratory, Illinois Institute of Technology, Chicago, IL 60616yagoobi@iit.edu

J. Heat Transfer 131(9), 094502 (Jun 24, 2009) (4 pages) doi:10.1115/1.3139111 History: Received August 22, 2008; Revised April 14, 2009; Published June 24, 2009

Effect of electric conduction phenomenon on the mixing mechanism is studied numerically to thermally homogenize a dielectric liquid with an initial nonuniform temperature distribution. The fluid is stored in a spherical reservoir, and the electrodes are embedded on the reservoir surface such that the resultant local electric body forces mix the fluid. The electric field and electric body force distributions along with the resultant velocity field at the final steady-state condition are presented. The mixing mechanism is illustrated by the time evolution of temperature distribution inside the reservoir. The effects of primary dimensionless numbers on the mixing time are studied.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of three-dimensional spherical reservoir (not to scale)

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Figure 2

Steady-state dimensionless contours of electric body force magnitude and streamtraces of electric body force at the x∗z∗-plane at y∗=0

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Figure 3

Steady-state contours of velocity magnitude and velocity streamtraces at y∗=0 and z∗=0

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Figure 4

Dimensionless time evolution of dimensionless temperature distribution and contours of isotherms at two intermediate time steps in the absence of gravity body force, Gr=0. Contour labels represent the value of modified dimensionless temperature, θ∗, defined in Eq. 6.

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Figure 5

Variation in mixing time with C0 and Peclet number with other dimensionless numbers fixed: Mo=4.39, Gr=0

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Figure 6

Variation in mixing time with Gr and C0 with other dimensionless numbers kept constant

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