Steady Stokes flow of a non-Newtonian Reiner-Rivlin fluid streaming over an approximate liquid spheroid

Abstract

The investigation is carried out to study steady Stokes axisymmetrical Reiner-Rivlin streaming flow over a fixedviscous droplet, and this droplet to be deformed sphere in  shape. As boundary conditions, vanishing of radialvelocities, continuity of tangential velocities and shear stresses at the droplet surface are used. The very commonconfiguration of approximate sphere governed by polar equation $\tilde{r} =a[1 +\alpha_m \vartheta_m(\zeta)]$ has been considered forthe study toO(αm)describing the distortion. Based on the Stokes approximation, an analytical investigation isachieved in the orthogonal curve linear framework in an unbounded region of a Reiner-Rivlin fluid. In constrainingcases, some earlier noted outcomes are obtained. Also, theyielded outcomes for the drag have been compared withsolution existing in the literature. Further, the change for both force and pressure are evaluated showing deflectionw.r.t. the parameters of interest and shown through table and graphs.