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

• Authors: Shaowei Wang , Moli Zhao , Xicheng Li
• 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.

Keywords

EN

transient flow; electro-osmosis flow; Laplace transform; Hankel transform; velocity overshoot

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 6
• Pages: 445-451

Dates

published

1 - 6 - 2014

online

31 - 5 - 2014

Contributors

author

Shaowei Wang

author

Moli Zhao

author

Xicheng Li

• School of Mathematical Sciences, University of Jinan, 106 Jiwei Road, 250100, Jinan, P.R. China

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Identifiers

DOI

10.2478/s11534-014-0463-x