Next Article in Journal
Micromachined Resonant Frequency Tuning Unit for Torsional Resonator
Next Article in Special Issue
On the Bipolar DC Flow Field-Effect-Transistor for Multifunctional Sample Handing in Microfluidics: A Theoretical Analysis under the Debye–Huckel Limit
Previous Article in Journal
An Assay Using Localized Surface Plasmon Resonance and Gold Nanorods Functionalized with Aptamers to Sense the Cytochrome-c Released from Apoptotic Cancer Cells for Anti-Cancer Drug Effect Determination
Previous Article in Special Issue
Electrode Cooling Effect on Out-Of-Phase Electrothermal Streaming in Rotating Electric Fields
Article Menu
Issue 12 (December) cover image

Export Article

Open AccessArticle
Micromachines 2017, 8(12), 341; https://doi.org/10.3390/mi8120341

Analytical Solution of Electro-Osmotic Peristalsis of Fractional Jeffreys Fluid in a Micro-Channel

1
School of Mathematics and Statistics, Linyi University, Linyi 276000, China
2
School of Mathematics and Statistics, Shandong University, Weihai 264209, China
*
Author to whom correspondence should be addressed.
Received: 18 September 2017 / Revised: 8 November 2017 / Accepted: 19 November 2017 / Published: 23 November 2017
(This article belongs to the Special Issue Micro/Nano-Chip Electrokinetics, Volume II)
Full-Text   |   PDF [3122 KB, uploaded 23 November 2017]   |  

Abstract

The electro-osmotic peristaltic flow of a viscoelastic fluid through a cylindrical micro-channel is studied in this paper. The fractional Jeffreys constitutive model, including the relaxation time and retardation time, is utilized to describe the viscoelasticity of the fluid. Under the assumptions of long wavelength, low Reynolds number, and Debye-Hückel linearization, the analytical solutions of pressure gradient, stream function and axial velocity are explored in terms of Mittag-Leffler function by Laplace transform method. The corresponding solutions of fractional Maxwell fluid and generalized second grade fluid are also obtained as special cases. The numerical analysis of the results are depicted graphically, and the effects of electro-osmotic parameter, external electric field, fractional parameters and viscoelastic parameters on the peristaltic flow are discussed. View Full-Text
Keywords: electro-osmotic flow; peristalsis; fractional calculus; Jeffreys fluid; Laplace transform electro-osmotic flow; peristalsis; fractional calculus; Jeffreys fluid; Laplace transform
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Guo, X.; Qi, H. Analytical Solution of Electro-Osmotic Peristalsis of Fractional Jeffreys Fluid in a Micro-Channel. Micromachines 2017, 8, 341.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Micromachines EISSN 2072-666X Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top