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Journal
2014 | 12 | 6 | 445-451
Article title

Transient electro-osmotic flow of generalized Maxwell fluids in a straight pipe of circular cross section

Content
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Languages of publication
EN
Abstracts
EN
The transient electro-osmotic flow of a generalized Maxwell fluid with fractional derivative in a narrow capillary tube is examined. With the help of an integral transform method, analytical expressions are derived for the electric potential and transient velocity profile by solving the linearized Poisson-Boltzmann equation and the Navier-Stokes equation. It was shown that the distribution and establishment of the velocity consists of two parts, the steady part and the unsteady one. The effects of relaxation time, fractional derivative parameter, and the Debye-Hückel parameter on the generation of flow are shown graphically and analyzed numerically. The velocity overshoot and oscillation are observed and discussed.
Publisher

Journal
Year
Volume
12
Issue
6
Pages
445-451
Physical description
Dates
published
1 - 6 - 2014
online
31 - 5 - 2014
Contributors
author
author
  • School of Mathematical Sciences, University of Jinan, 106 Jiwei Road, 250100, Jinan, P.R. China
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0463-x
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