AC electroosmotic flow of generalized Maxwell fluids in a rectangular microchannel

Many biofluids such as blood and DNA solutions are viscoelastic and exhibit extraordinary flow behaviors, not existing in Newtonian fluids. In the present investigation, analytical series solutions for the time periodic EOF flow of the generalized Maxwell fluids through a two-dimensional rectangular microchannel are found under the Debye–Hückel linear approximation. A linearized Poisson–Boltzmann equation governing the electrical double layer (EDL) field, together with the Cauchy momentum equation and the general Maxwell constitutive equation are included in the analysis. Numerical results are presented for the velocity profiles and volumetric flow rates in the rectangular microchannel for different parametric values that characterize this flow.

► Solving the linearized PB, Cauchy momentum and Maxwell constitutive equations. ► Exact solution is given for AC EOF of Maxwell fluid in a rectangular microchannel. ► The influence of related parameters on velocity profiles and flow rates is studied.