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The effect of the dielectric permittivity of the electrolytic medium in theElectrical Double Layer (EDL) in Nanochannel is an important factor thatrequires a correction, before the application of the model in various chemicaland biomedical examinations. However very few efforts are put forth toaccommodate this into the mathematics of the EDL Models developed hitherto,even though it was realized by a host of authors for the past half a century oreven more. Most of the Nanoc hannel made lab-on-chips in a rectangular crosssection require suitable impregnation of this. The effect of the EDL in ananochannel isimportant in various chemical and biomedical examinations. Mostof the nanochannelmadelab on chips in a rectangular cross section. The EDLinsuch a nanochannel is governed by two dimensional Gouy Chapman (GC)equation.

A New Model For Incorporating the Variations of the Dielectric  Permittivity of the Medium: Part (1)Potential Distribution of an Electrical  Double Layer in Rectangular Nano channel by Applying Finite Element Method  Technique