A New Model and Analysis for Peristalsis of Carreau-Yasuda (CY) Nanofluid Subject to Wall Properties

Peristaltic movement of non-Newtonian nanofluid obeying Carreau-Yasuda (CY) model across a complaint wall channel is formulated through a different approach. Unlike past researches, we consider the well-known Buongiorno's model without relying on conventional assumption of constant diffusion coefficients. However, the considered model assumes long wavelength of channel walls compared with the channel width. Lower channel wall is heated by providing convection from hot fluid at temperature T-f. The developed system is coupled and nonlinear which seems difficult to be solved exactly. Hence, numerical computations are made by adopting shooting method-based package NDSolve of MATHEMATICA. A considerable effect of wall slip and rheology on the solution profiles is apparent from the computational results. Moreover, the computed results are aimed at predicting the role of Brownian diffusion and thermophoresis in peristalsis especially when wall elastic effects are present.