  The effect of the dielectric permittivity of the electrolytic medium in the
Electrical Double Layer (EDL) in Nanochannel is an important factor that
requires a correction, before the application of the model in various chemical
and biomedical examinations. However very few efforts are put forth to
accommodate 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 or
even more. Most of the Nanoc hannel made lab-on-chips in a rectangular cross
section require suitable impregnation of this. The effect of the EDL in a
nanochannel isimportant in various chemical and biomedical examinations. Most
of the nanochannelmadelab on chips in a rectangular cross section. The EDL
insuch a nanochannel is governed by two dimensional Gouy Chapman (GC)equation.
