Numerical analysis for electroosmotic flow of fractional Maxwell fluids

The electroosmotic flow of fractional Maxwell fluid in a rectangular microchannel is studied in this paper. By means of the fractional Maxwell constitutive equation, and based on the experimental data, the nonlinear conjugate gradient method is proposed to get the viscoelastic parameters. Combined with the continuity equations and Cauchy momentum equations, the governing equations of velocity distribution are established. Besides, a fully discrete spectral method based on a difference method in the temporal direction and a Legendre spectral method in the spatial direction is introduced to solve the dimensionless governing equations. Finally, some results are presented to show the effectiveness of the proposed method.