Analysis of heat and fluid flow for peristaltic wave phenomenon in sisko fluid with temperature-dependent viscosity

Abstract

Peristaltic flow of Sisko fluid with temperature-dependent viscosity and viscous dissipation is considered in this paper. The constitutive equations for viscous and non-Newtonian power-law fluids are generalized to Sisko fluid. The governing equations take the form of two coupled nonlinear partial differential equations. The analytic solution is calculated using long wavelength and small Reynolds number approximations. The Sisko fluid, being the blend of viscous and non-Newtonian fluids, includes all the rheological properties of non-Newtonian fluid and viscous fluid. The effects of variable viscosity parameter translate into two independent parameters giving rise to two cases. The one corresponding to low shear rate and the other corresponding to infinite shear rate. This is a new approach to look up the effects of fluid properties characterizing Sisko fluid. The paper is essentially a theoretical work with applications in science and technology including biotechnology. In the absence of any empirical data; the results for the viscous and power-law fluids with variable viscosity are deduced from the generalized solution of Sisko fluid presented in this study.