Abstract
The present paper examines the flow behavior and separation region of a non-Newtonian electrically conducting Casson fluid through a two-dimensional porous channel by using Darcy’s law for the steady and pulsatile flows. The vorticity-stream function approach is employed for the numerical solution of the flow equations. The effects of various emerging parameters on wall shear stress and stream-wise velocity are displayed through graphs and discussed in detail. It is noticed the increasing values of the magnetic field parameter (Hartman number) cause vanishing of the flow separation region and flattening of the stream-wise velocity component. The study also reveals that the non-Newtonian character of Casson fluid bears the potential of controlling the flow separation region in both steady and pulsating flow conditions.
Highlights
Non-Newtonian fluids have earned a lot of attention because of a wide range of their applications in science and engineering
Siddiqui et al.[10] studied blood pulsation within the stenotic artery by modeling blood as a Casson fluid and discussed how the blood flow is affected by the pulsation, stenosis, and non-Newtonian behavior
The present paper aims at analyzing non-Newtonian Casson fluid flow
Summary
Non-Newtonian fluids have earned a lot of attention because of a wide range of their applications in science and engineering. As the pulsatile motion is modeled by adding the sinusoidal time-dependent function sin(2π t) in the inflow boundary condition, the effects of flow parameters are shown for time levels t = 0.0, 0.25, 0.50, 0.75 . The present numerical scheme is validated by comparison of the pulsatile flow results with the relevant ones obtained by Bandyopadhyay and L ayek[32], which discussed a Newtonian fluid without porosity effect.
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