An electro-osmotic Williamson flow analysis by means of curved surface

•A theoretical study is carried out to determine electro-osmotic impact on the Williamson fluid model moving peristaltically along a curved channel.•The equations of Poisson and Nernst–Planck are considered to explore the flow behavior.•Using approximations of “long wavelength and small (or zero) Reynolds number”.•Resulting in enhanced heat transfer properties of the fluid.