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

Abstract

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 α (0<α<1), the time required to attain steady velocity becomes shorter and the oscillating phenomenon becomes more pronounced.