Electroosmotic Peristaltic Pumping of Jeffrey Liquid with Variable Characteristics: An Application to Hemodynamic

The current model investigates the electroosmotic characteristics of the Jeffrey fluid's peristaltic transport in a uniform channel to study the impacts of variable viscosity, variable thermal conductivity, slip effects, electroosmotic parameter, Helmholtz–Smoluchowski velocity parameter. The governing equations are simplified by using the long-wavelength and small Reynold’s number approximations. Further, the semi-analytical method (perturbation method) is applied for solving the transformed equations and solutions are obtained for the stream function, velocity, temperature distribution, concentration, and Pressure gradient. Finally, the effects of various parameters assessed numerically are presented through graphs and discussed in detail. The results reveal that increased variable viscosity and electroosmotic parameters enhance the fluid velocity at the centre of the channel. Further, the Helmholtz–Smoluchowski velocity parameter and the variable thermal conductivity parameter slows down the particle motion at the centre of the channel. Furthermore, the size of the trapped bolus enhances with the values of the Electroosmotic parameter and Jeffrey parameter.