4.7 Article

Unsteady rotating electroosmotic flow with time-fractional Caputo-Fabrizio derivative

Journal

APPLIED MATHEMATICS LETTERS
Volume 100, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.106015

Keywords

Electroosmotic (EO) flow; Unsteady rotation; Time-fractional Caputo-Fabrizio derivative; Laplace transform

Funding

  1. National Natural Science Foundation of China [11772162, 11472140]
  2. Natural Science Foundation of Inner Mongolia Autonomous Region of China [2016MS0106, 2018MS01015]

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As an effective driven mechanism proved experimentally, rotating electroosmotic (EO) micropump has attracted the attentions of many researchers in recent years. In this article, an exact solution of transient rotating EO flow with time-fractional Caputo-Fabrizio derivative through a slit microchannel is obtained by using Laplace transform method. It is interesting to find from computational results that with the increase of fractional parameter alpha (0<1), the time required to attain steady velocity becomes shorter and the oscillating phenomenon becomes more pronounced. (C) 2019 Elsevier Ltd. All rights reserved.

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