Transient electro-osmotic flow of fractional Oldroyd-B fluid with slip condition

来源 :2016年大连国际微纳流体和微流控芯片大会(2016 International Conference of Micro | 被引量 : 0次 | 上传用户:fengrui0216
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  The electro-osmotic flow of a fractional Oldroyd-B fluid in a circular microchannel is studied.The Naviers slip condition is considered as the boundary condition.Exact solutions for the electric potential and transient velocity are established by means of the Laplace and finite Hankel transforms.And it 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 are also given as limiting cases.Finally, the influence of the relaxation and retardation times, the fractional derivative parameters, the Debye-Huckel parameter, and the slip length, on the fluid motion is discussed with numerical simulations, and some useful conclusions are drawn.
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