### Approximate Particular Solutions Method for the Solution of Electro-Kinetic Fluids in Micro and Nano channels

#### Abstract

This paper presents an application of the method of approximate particular solutions with radial basis functions (MAPS) in two dimensions, for the solution of electrokinetic flows in micro and nanochannels. This development is performed for a mixed electroosmotic flow and driven by a pressure gradient. The implementation of the method is carried out for a rectangular micro channel, in two dimensions and for a cylindrical nanochannel. The results obtained show the MAPS implementations, their directness and simplicity when applied to the models presented here, allowing to obtain good approximations using few nodes.

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DOI: http://dx.doi.org/10.18180/2019.27.9

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