
Proceedings Paper
Generalized electroosmosis transport with a spatially modulated electric permittivity inside a cylindrical micro channelFormat | Member Price | Non-Member Price |
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Paper Abstract
After analyzing the behavior of a fluid using an electroosmosis transport system, it was shown that the analysis of a
constant electric permittivity could also be extended to a medium in which its electrical properties are space dependent.
Using the hydrodynamic analysis with the Navier-Stookes equation in a high symmetric stationary environment and by
solving the Maxwell’s equations for only electrical charge sources within a micro channel, in the case where the
electrical properties of the fluid changed along the space. In this case, it was considered a linear and a quadratic relation
of the spatially modulated electric permittivity. For the first case, the solution was obtained in the terms of the Heun
functions and in the second case the solution was given in terms of the Legendre polynomials. For both cases, the
analytical solutions were obtained using the Maple software. After evaluating these results with the solutions obtained
with the Bessel’s special functions, it provided a close approximation of the behavior of the fluid under the
electroosmosis effect with constant permittivity. With the development of this comparison between these solutions for
the non-constant fluid’s electric characteristics, the analysis could be brought into the field of non-single-phase fluids, so
it might allow a further analysis of the electroosmosis within a more realistic fluid, in which properties changes among
the space inside a micro channel.
Paper Details
Date Published: 22 May 2014
PDF: 10 pages
Proc. SPIE 9107, Smart Biomedical and Physiological Sensor Technology XI, 91070K (22 May 2014); doi: 10.1117/12.2048847
Published in SPIE Proceedings Vol. 9107:
Smart Biomedical and Physiological Sensor Technology XI
Brian M. Cullum; Eric S. McLamore, Editor(s)
PDF: 10 pages
Proc. SPIE 9107, Smart Biomedical and Physiological Sensor Technology XI, 91070K (22 May 2014); doi: 10.1117/12.2048847
Show Author Affiliations
Juan José Cadavid Muñoz, Univ. EAFIT (Colombia)
Published in SPIE Proceedings Vol. 9107:
Smart Biomedical and Physiological Sensor Technology XI
Brian M. Cullum; Eric S. McLamore, Editor(s)
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