Abstract
In this work, a theoretical analysis for the streaming potential and the electro-kinetic energy conversion (EKEC) efficiency of the viscoelastic fluid in a circular microchannel driven by periodic pressure gradient of a fluid whose behavior follows the Maxwell model was developed. Accordingly, relevant dimensionless parameters, such as Deborah number, Hartmann number, the electrokinetic width, dimensionless frequency and the nanoparticle volume fraction, are studied to describe the streaming potential and the EKEC efficiency graphically. The results indicate that the velocity and streaming potential across microchannel become reduce as the dimensionless frequency increases. In particular, the analytical solution of velocity is obtained using Green's function. It is also revealed that the EKEC efficiency is the most significant in the case of square wave, whether at low frequency or high frequency. It is worth noting that appropriately adjusting the Deborah number and dimensionless frequency can improve effectively the streaming potential and the EKEC efficiency.
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