Title of article :
Steady Flow of Purely Viscous Shear-Thinning Fluids in a 1:3 Planar Gradual Expansion
Author/Authors :
Menouer, A Laboratory of Industrial Technologies - Department of Mechanical Engineering - Ibn Khaldoun University, Tiaret, Algeria , Sad Chemloul, N Laboratory of Industrial Technologies - Department of Mechanical Engineering - Ibn Khaldoun University, Tiaret, Algeria , Chaib, K Laboratory of Industrial Technologies - Department of Mechanical Engineering - Ibn Khaldoun University, Tiaret, Algeria , Kadari, A Laboratory of Industrial Technologies - Department of Mechanical Engineering - Ibn Khaldoun University, Tiaret, Algeria
Abstract :
Laminar flow of non-Newtonian fluid (shear-thinning) through a 1:3 planar gradual expansion is numerically
investigated, for various Power-Law index (0.6, 0.8 and 1.0) and expansion angles (15, 30, 45, 60 and 90°) at
different generalized Reynolds number (1 ≤ Reg ≤ 400). The study of these parameters effect on the flow
pattern allowed the determination of the two critical generalized Reynolds numbers (Regcr1 and Regcr2), which
correspond to the transition from the symmetric to the asymmetric flow and the appearance of the third
recirculation zone respectively. The results showed that decreasing the Power-Law index or the expansion
angle stabilizes the flow by increasing significantly the two critical generalized Reynolds numbers. In order to
predict the two critical generalized Reynolds numbers, two correlations have been proposed.
Keywords :
Recirculation , Critical Reynolds Number , Shear-thinning fluid , Gradual expansion , Bifurcation
Journal title :
Astroparticle Physics
