Conditions for similitude between the fluid velocity and electric field in electroosmotic flow

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Electroosmotic flow is fluid motion driven by an electric field acting on the net fluid charge produced by charge separation at a fluid-solid interface. Under many conditions of practical interest, the resulting fluid velocity is proportional to the local electric field, and the constant of proportionality is everywhere the same. Here the authors show that the main conditions necessary for this similitude are a steady electric field, uniform fluid and electric properties, an electric Debye layer that is thin compared to any physical dimension, and fluid velocities on all inlet and outlet boundaries that satisfy the Helmholtz-Smoluchowski relation normally applicable ... continued below

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12 p.

Creation Information

Cummings, E. B.; Griffiths, S. K.; Nilson, R. H. & Paul, P. H. April 1, 1999.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 21 times . More information about this report can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA
    Place of Publication: Albuquerque, New Mexico

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Description

Electroosmotic flow is fluid motion driven by an electric field acting on the net fluid charge produced by charge separation at a fluid-solid interface. Under many conditions of practical interest, the resulting fluid velocity is proportional to the local electric field, and the constant of proportionality is everywhere the same. Here the authors show that the main conditions necessary for this similitude are a steady electric field, uniform fluid and electric properties, an electric Debye layer that is thin compared to any physical dimension, and fluid velocities on all inlet and outlet boundaries that satisfy the Helmholtz-Smoluchowski relation normally applicable to fluid-solid boundaries. Under these conditions, the velocity field can be determined directly from the Laplace equation governing the electric potential, without solving either the continuity or momentum equations. Three important consequences of these conditions are that the fluid motion is everywhere irrotational, that fluid velocities in two-dimensional channels bounded by parallel planes are independent of the channel depth, and that such flows exhibit no dependence on the Reynolds number.

Physical Description

12 p.

Notes

OSTI as DE00751024

Medium: P; Size: 12 pages

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  • Other Information: PBD: 1 Apr 1999

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  • Report No.: SAND99-8246
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/751024 | External Link
  • Office of Scientific & Technical Information Report Number: 751024
  • Archival Resource Key: ark:/67531/metadc706210

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  • April 1, 1999

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • April 6, 2017, 7:57 p.m.

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Cummings, E. B.; Griffiths, S. K.; Nilson, R. H. & Paul, P. H. Conditions for similitude between the fluid velocity and electric field in electroosmotic flow, report, April 1, 1999; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc706210/: accessed November 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.