Transient electroosmotic slip flow of fractional Oldroyd-B fluids
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- 作者：Yuting Jiang ; Haitao Qi ; Huanying Xu ; Xiaoyun Jiang
- 关键词：Electroosmotic flow ; Fractional Oldroyd ; B fluid ; Slip boundary ; Integral transform ; Numerical inverse Laplace transform
- 刊名：Microfluidics and Nanofluidics
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：21
- 期：1
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Engineering Fluid Dynamics; Biomedical Engineering; Analytical Chemistry; Nanotechnology and Microengineering;
- 出版者：Springer Berlin Heidelberg
- ISSN：1613-4990
- 卷排序：21
文摘
The electroosmotic flow of a fractional Oldroyd-B fluid in a circular microchannel is studied. The linear Navier slip velocity model is used as the chosen slip boundary condition. Exact solutions for the electric potential and transient velocity are established by means of Laplace and finite Hankel transforms. And the velocity was presented as a sum of the steady part and the unsteady one. The corresponding solutions for the fractional Maxwell fluid, fractional second grade fluid, and Newtonian fluid can also be obtained from our results. Finally, numerical results for the fluid flow are obtained and some useful conclusions are drawn. Our results may be useful for the prediction of the flow behavior of viscoelastic fluids in microchannels and can benefit the design of microfluidic devices.