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. The intension of this research is to explore the electro-osmotic flow of chemicalized Williamson fluid moving peristaltically along a curved channel. The equations of Poisson and Nernst–Planck are applied to model electro-osmotic phenomena. The concerning equations are mapped from a fixed framework to moving one by means of co-ordinate transformations. Using approximations of "large wavelength and minimal (or zero) Reynolds number" the governing equations are generalized. The MATLAB Shooting method is used to graphically analyze the behavior. The impact of factors on flow characteristics is depicted graphically. It is observed that due to a small increment in Williamson parameter both temperature and velocity decreases but the pressure increases. Moreover, by improving value of reverse EDL parameter S (the electro-osmotic parameter), the electric potential of Williamson fluid increases. This model is applicable to a variety of biological flows controlled by the electroosmosis process and fluid thermal properties. [ABSTRACT FROM AUTHOR]