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TECHNICAL PAPERS

Influence of Bulk Fluid Velocity on the Efficiency of Electrohydrodynamic Pumping

[+] Author and Article Information
Vishal Singhal

School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

Suresh V. Garimella

School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088sureshg@ecn.purdue.edu

J. Fluids Eng 127(3), 484-494 (Mar 05, 2005) (11 pages) doi:10.1115/1.1899173 History: Received April 20, 2004; Revised March 05, 2005

The efficiency of conversion of electrical power into fluidic power in an electrohydrodynamic (EHD) pump depends on the bulk fluid velocity. An analytical formulation is developed for calculation of the efficiency of an EHD pump, with and without the presence of a superimposed flow due to an externally imposed pressure gradient. This formulation is implemented into a numerical model, which is used to investigate the effect of bulk fluid velocity on the efficiency of the EHD action. In particular, the net flow due to the combined action of EHD and a positive or negative external pressure gradient is computed. Both ion-drag pumps and induction EHD pumps are considered. Pumps based on the ion-drag principle that are studied include a one-dimensional pump, a two-dimensional pump driven by a stationary potential gradient, and another driven by a traveling potential wave. Two-dimensional repulsion-type and attraction-type induction pumping caused by a gradual variation in the electrical conductivity of the fluid is also investigated. The efficiency of EHD pumps exhibited a strong dependence on bulk fluid velocity: for the two-dimensional steady ion-drag pump, for example, the efficiency increased from less than 2% to 22% under the influence of an external pressure gradient. The corresponding increase in efficiency for a two-dimensional repulsion-type EHD pump was from 0.26% to 24.5%.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 2

Effect of variation of nondimensional bulk fluid velocity on nondimensional input power, output power, and efficiency for the steady one-dimensional ion-drag pump

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Figure 3

Variation of nondimensional total input power, total output power, and total with nondimensional bulk fluid velocity due to combined action of EHD in the steady two-dimensional ion-drag pump and varying external pressure gradient

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Figure 5

Nondimensional pump curve for the steady two-dimensional ion-drag pump. (Inset: Magnified view of pump curve for small values of nondimensional bulk fluid velocity.)

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Figure 8

Variation of nondimensional total input power, total output power, and total efficiency; (b) nondimensional electrical input power, output power due to EHD, and efficiency due to EHD; and (c) pump curve, i.e., nondimensional pressure head generated by the pump with nondimensional bulk fluid velocity due to combined action of the attraction-type induction EHD pump and varying external pressure gradient

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Figure 1

(a) Domain under consideration in two-dimensional pumps; (b) potential wave application in pumps with traveling potential wave

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Figure 4

Variation of nondimensional electrical input power, output power due to EHD, and efficiency due to EHD with nondimensional bulk fluid velocity due to combined action of EHD in the steady two-dimensional ion-drag pump and varying external pressure gradient

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Figure 6

Variation of (a) nondimensional total input power, total output power, and total efficiency; (b) nondimensional electrical input power, output power due to EHD, and efficiency due to EHD; and (c) pump curve, i.e., nondimensional pressure head generated by the pump with nondimensional bulk fluid velocity due to combined action of EHD in the transient two-dimensional ion-drag pump and varying external pressure gradient

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Figure 7

Variation of (a) nondimensional total input power, total output power, and total efficiency; (b) nondimensional electrical input power, output power due to EHD, and efficiency due to EHD; and (c) pump curve, i.e., nondimensional pressure head generated by the pump with nondimensional bulk fluid velocity due to combined action of the repulsion-type induction EHD pump and varying external pressure gradient

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