Abstract
A semi-analytical solution is presented using method of Laplace transform for the transient pulse electroosmotic flow (EOF) of Maxwell fluid in a circular micro-channel. The driving mode of pulse EOF here is considered as an ideal rectangle pulse. The solution involves solving the linearized Poisson-Boltzmann (P-B) equation, together with the Cauchy momentum equation and the general Maxwell constitutive equation. The results show that the profiles of pulse EOF velocity vary rapidly and gradually stabilize as the increase of time within a half period. The velocity profiles at the center of the micro-channel increase significantly with relaxation time , especially for the smaller pulse width a. However, as the pulse width a increases, this change will be less obvious. At the same time, the different change frequency of velocity profiles will slow down, which means a long cycle time. Additionally, the time needed to attain the steady status becomes longer with the increase of relaxation time and pulse width a.
Highlights
Maxwell fluid through a circular micro-channel and an analytical solution of electroosmotic flow (EOF) velocity distribution is derived
We have obtained the semi-analytical solution of the transient pulse EOF velocity of Maxwell fluid through a circular micro-channel, which mainly relies on relevant dimensionless parameters, such as the relaxation time λ1, the pulse width a and the electrokinetic width K
The larger the relaxation time λ1, the larger the amplitude of the velocity profiles, and the longer the time it takes for the fluid to reach a steady status
Summary
Microfluidic devices have been vigorously developed and applied in micro-electronic mechanical systems and microbiological sensors, and the electroosmotic flow (EOF) formed in these devices has become more and more. Maxwell fluid through a circular micro-channel and an analytical solution of EOF velocity distribution is derived. Taking into account the limitations of alternating current (such as continuous and time-varying), as well as the wide application of pulse current in engineering in recent years [38] [39] [40], another important purpose of this paper is extending the AC EOF to pulse current (PC) EOF of the generalized Maxwell fluid model in the circular micro-channel.
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