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

• Autorzy: Shaowei Wang , Moli Zhao , Xicheng Li
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 6
• Strony: 445-451

Daty

wydano

2014-06-01

online

2014-05-31

Twórcy

autor

Shaowei Wang,

autor

Moli Zhao

autor

Xicheng Li

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

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Identyfikatory

DOI

10.2478/s11534-014-0463-x