Abstract
Transient electrokinetic analysis can provide practical insights on the evolution of dynamic phenomena in micro and nano-capillaries, which are often ignored in a steady-state analysis. In this paper, a numerical model is proposed for the transient electrokinetic analysis of electroosmotic flows in a charged nanocapillary. In addition, the transient effects of ionic currents and the magnetic field generated both inside and outside the nanochannel were evaluated, and the results were compared with a simplified analytical model. Results showed that the peak of the magnetic field strength occurs in the vicinity of the charged walls at the outer surface of the nanochannel, which was associated with the distribution of the total current density flowing within the channel. The magnetic flux density was also compared at three different sections; entry, mid, and exit locations. This comparison proved that the nature of the longitudinal changes in the electric double layer distribution has significant effects on the decay rate of the magnetic field outside of the nanochannel walls. The obtained results confirm that the generated magnetic field, detected outside of the nanochannels, could be used as a secondary electromagnetic signal for biomolecules as a part of a sequencing technique.
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