Analysis of Transient Pulse Electroosmotic Flow of Maxwell Fluid through a Circular Micro-Channel Using Laplace Transform Method

A semi-analytical solution is presented using method of Laplace transform for the transient pulse electroosmotic flow (EOF) Maxwell fluid in a circular micro-channel. The driving mode EOF here considered as an ideal rectangle pulse. involves solving linearized Poisson-Boltzmann (P-B) equation, together with Cauchy momentum equation and general constitutive equation. results show that profiles velocity vary rapidly gradually stabilize increase time within half period. at center micro-channel significantly relaxation , especially smaller width a. However, increases, this change will be less obvious. At same time, different frequency slow down, which means long cycle time. Additionally, needed to attain steady status becomes longer