## 1 Introduction
The study of EOF of Non-Newtonian fluid is new and the open literature shows a limited number of relevant papers. [PERSON] [12] analyzed the capillary transport of biofluid in a microchannel through electroosmosis. [PERSON] et al. [13] discussed the EOF of two-liquid flow via microchannel. [PERSON] et al. [14] demonstrated the EOF of power-law fluid through slit microchannel. Also, [PERSON] et al. [15] studied Non-Newtonian fluids in the microchannel. Moreover, [PERSON] et al. [16] explored the electroosmotic influence of Power-law fluid for different zeta potential. [PERSON] et al. [17] explained the micro-mixing (electroosmotic) of Non-Newtonian fluids, numerically. Also, [PERSON] et al. [18] inspected the EOF of viscoelastic fluid in an asymmetric channel. [PERSON] and [PERSON] [19] observed the EOF of power-law fluid through the cylindrical microchannel. [PERSON] et al. [20] demonstrated temperature rise for biofluids in EOF. [PERSON] and [PERSON] [21] assumed the effect of wall potential and variation in height of channel for EOF of power-law fluid through slit microchannel. [PERSON] et al. [22] examined 3D microfluidic network with PDMC surface and hybrid stamp. [PERSON] et al. [23] observed the EDL effects in peristaltic transport. [PERSON] et al. [24] studied the mechanism of Tunnel Dielectrophoresis in high-speed microfluidic flows. Also, [PERSON] et al. [25] briefed the analysis of entropy for magnetized nanofluid peristaltic flow via microchannel. EOF of Williamson ionic nanofluid peristaltic transport through a microchannel was incorporated by [PERSON] and [PERSON] [26]. [PERSON] et al. [27] also presented the impacts of blood flow as a non-Newtonian fluid in EOF. Although, some work has been carried out to describe the complex behavior of EOF with different Non-Newtonian fluid models (because of microfluidic applications). The main advantage of microfluidic devices is to analyze biofluid, such as blood, saliva and DNA solutions, which usually exhibit viscoelastic behavior. Therefore, it is very necessary to study the complex behavior of EOF with Non-Newtonian fluid models. All models are unable to explain the shear thinning and shear thickening behavior, completely. In Rheology, most fluids are always a field of true desire for the scientist and engineers (due to their diverse and complex microstructure). Non-Newtonian fluids (include shampoos, apple-sauce, ketchup, drill mud, polymer solution) cannot be described by a single constitutive expression. Therefore, many constitutive relations for these fluids have been presented. As, Non-Newtonian fluids are characterized in three types i.e., differential, integral and rate type. Moreover, deformation state in generalized Newtonian fluids is independent of the state at some previous time. The simplest form of generalized Newtonian fluid is Power-law fluid. It defines shear thickening and thinning of the fluid. Though, the main disadvantage is that it is ineffective at very low and high shear rates. Therefore, to overcome this drawback, the Carreau fluid model was proposed. Carreau fluid model demonstrates the rheological aspect of Non-Newtonian fluids, including lubricants. The silicon oil is an example of Carreau fluid. There are so many works on the Non-Newtonian fluids in peristaltic flow but very limited in electroosmosis aspects. [PERSON] and [PERSON] [28] explained the Carreau fluid transport through an asymmetric channel. Also, [PERSON] [29] showed peristaltic slip flow of Carreau fluid via asymmetric conduit. Peristaltic motion of a Carreau fluid in presence of induced magnetic field was incorporated by [PERSON] et al. [30]. [PERSON] won [31] studied the impacts of thermal diffusion and radiation on hydromagnetic Carreau fluid past a porous plate. Besides, [PERSON] et al. [32] also analyzed the curved channel for peristaltic motion of MHD Carreau fluid. [PERSON] et al. [33] determined the Carreau fluid transport through a regular duct. Furthermore, [PERSON] et al. [34] developed numerically, the peristaltic transport for Carreau nanofluid.