Abstract
This paper explores the complex rheological non-Newtonian fluid flow model in a two-dimensional annulus of curved nature, which is comprise of two cylinders in which inward cylinder is viewed as inflexible while outer cylinder is flexible. In modelling of Casson fluid flow, constitutive equation under certain approximations are considered in most comprehensive way to represent it effectively as an enhancement of Newtonian fluid model. As nanoparticles are potential vehicle for drug transport in biomedical study, therefore phase flow and hybrid nanofluid mechanism are adopted in this examination. Analytical series solution of mathematical model is calculated for the zeroth and first order systems and solve according to the corresponding boundary conditions. It is perceived that stress formation in an curved annulus wall and variation of the trapped bolus increases for different values of parameter ζ, and noted to be maximum then the straight annulus model case (ζ=0). Moreover, the consequences attained from the considered flow features shows many remarkable behaviors that permit further analysis of the different peristaltic transport models.