Asymptotic Analysis of Peristaltic Hydromagnetic Flow of Carreau Fluid in a Curved Channel

Abstract

The boundary layer peristaltic hydromagnetic flow of Carreau fluid in a curved type has been investigated in this article. Carreau fluid model is a generalized Newtonian fluid model having four parameters namely, infinite-shear-rate viscosity (μ∞), zero-shear-rate viscosity (μ0), relaxation time constant (Γ) and power-law index (n). The governing equations of the flow is obtained under long wavelength and low Reynolds number assumptions. An asymptotic solution to this problem is obtained when the strength of the applied magnetic field is large. It is observed the that asymptotic solution is independent of Weissenberg number. The asymptotic solution is also validated against numerical solution obtained via finite difference method.