Interfacial Electrokinetic Effect on the Microchannel Flow Linear Stability

[+] Author and Article Information
Sedat Tardu

Laboratoire des Ecoulements Géophysiques et Industriels, LEGI B.P. 53 X, 38041 Grenoble, Cédex Francee-mail: Sedat.Tardu@hmg.inpg.fr

J. Fluids Eng 126(1), 10-13 (Feb 19, 2004) (4 pages) doi:10.1115/1.1637927 History: Received May 16, 2003; Revised September 11, 2003; Online February 19, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
EDL and Poiseuille velocity profiles (a), and the inflexional instability of Fjortoft type (b). The parameters of the EDL flow are given in the text. The broken line in (b) corresponds to Poiseuille flow with κ=∞ and the circles to the κ=41 EDL flow. The inflexion point is shown by I. The inviscid instability is of Fjortoft type because after the inflexion point near the wall, u>0 and the velocity is smaller than the velocity at the inflexion point uI, resulting in u(u−uI)<0 in this zone.
Grahic Jump Location
Neutral curves of the EDL flow compared with the Poiseuille flow. The open circles correspond to Poiseuille flow with κ=∞. The results of Grosh and Salwen 9 are shown by small bold squares. Bold circles correspond to κ=41,G=12720 and ζ̄=2.1254. The rest of the results are obtained by changing the microchannel height and keeping constant the rest of the parameters.
Grahic Jump Location
The critical Reynolds number versus Gζ̄2 for κ=16 and α=1.02.



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