Electroosmotic flow of fractional Maxwell fluid in a microchannel of isosceles right-triangular cross-section

The electroosmotic flow of fractional Maxwell fluid in microchannels with isosceles right-triangular cross-sections is presented in this paper. The finite difference method is applied to build the numerical model based upon the Navier–Stokes equations, fractional Maxwell constitutive equation, and Poisson–Boltzmann equation. Under the action of an applied AC electric field, numerical solutions are derived for different cases considering different high-wall zeta-potential conditions. Finally, a detailed discussion of the effects of some dimensionless parameters on the velocity profile and volumetric flow rate is given, with numerical and graphical interpretations. The results show that the sign of wall zeta-potential affects the shape of the velocity profile. The required time to reach a stable periodic oscillation depends on the assumed value of the fractional parameter, relaxation time, and angular Reynolds number. And the amplitude of the volumetric flow rate will be affected by all these parameters.