Department of Mathematics

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Study On Electrokinetic Flow Through Polyelectrolyte Layer Coated Cylindrical Nanochannel
(Department of Mathematics, NITS, 2025) Kalal, Kaushal Kumar
This article presents a theoretical investigation into the combined effects of electroosmotic and pressure-driven flow of fractional Maxwell fluids within a cylindrical nanochannel filled with an electrolyte solution. The channel is coated with a polyelectrolyte layer (PEL), and the system is subjected to a low-frequency AC electric field. The model incorporates surface charge, fixed charges within the PEL, dielectric permittivity contrasts, and ion partitioning due to born energy differences at the PEL–electrolyte interface. The induced electrostatic potential distribution is obtained by solving the linearized Poisson–Boltzmann equation using the De bye–H¨uckel approximation, yielding analytical solutions in terms of modified Bessel functions. The fluid transport behavior is influenced by parameters such as channel geometry, pressure gradient, electrolyte concentration, and zeta potential, offering valuable insights for nanofluidic device and biosensor design.