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Flow bifurcation phenomena of Shear-Thinning and Newtonian fluids in a rectangular channel in presence of intermediate steps: using Carreau-Yasuda model
Author(s): sandip saha, Apurba Narayan Das
Keywords: Rectangular channel, shear-thinning fluid, Newtonian fluid, Flow bifurcation, Carreau-Yasuda model.
In the presence of intermediate steps, flow bifurcation transitions of Shear-Thinning fluid and Newtonian fluid flows through a two-dimensional rectangular channel have been studied by means of numerical simulations. SIMPLE algorithm has been employed to solve the governing equations. The rheological properties of Shear-Thinning and Newtonian fluids are described by the Carreau-Yasuda model. The present work has been validated with the studies of Ternik et al.. The aim of this work is to study the bifurcation characteristics for different values of Reynolds number in the presence of multiple steps. Pressure drop characteristic has also been studied for different values of Er = 2, 3, and 6 at s = 1, 2, and 4. It is studied that an increase of Er causes the decrease of Re cr . Moreover, it is also demonstrated that an increase in the number of steps causes an increase of Re cr . It is revealed that the flow field is highly influenced by the increasing value of Re and the number of intermediate steps. It is noted that the length of corner vortices increases with an increase of Re for each intermediate step. Furthermore, at Er = 3, the current work presents a linear relationship between Re cr and the value of n in the Carreau-Yasuda model.