Electroosmotic slip flow in peristaltic transport of non-Newtonian third-grade MHD fluid: RSM-based sensitivity analysis

An innovative model of electroosmotic peristaltic motion produced by a third-grade non-Newtonian magnetohydrodynamics fluid within a symmetric conduit is proposed. Three nonlinear coupled partial differential equations govern the flow problem are reduced to a system of nonlinear coupled ordinary differential equations by using the approximations of long wave length and low Reynolds number. Response Surface Methodology based Central Composite Design is utilized to predict refined empirical model. The adequacy of the fitted model is assessed using an analysis of variance. The influence of the Hartman number, Deborah number, and electroosmotic parameter on pressure rise per wavelength and frictional forces is prognosticated graphically. It is observed that the axial velocity increases by increasing the values of electroosmotic parameter, however, quite a reverse behaviour in axial velocity is noted for higher values of the Helmholtz-Smoluchowski parameter, slip parameter and Hartmann number. A sensitivity analysis of physical parameters is presented. It is reveals that the Deborah number has a substantial impact on pressure rise per wavelength and frictional forces in the electroosmotic flow system.