Statistical Analysis of Hydrodynamic Forces in Power-Law Fluid Flow in a Channel: Circular Versus Semi-Circular Cylinder

Abstract

This numerical study is about the steady incompressible non-Newtonian fluid flow in a channel with static obstacles. The flow field is governed by the Generalized Navier-Stokes equations incorporating the constitutive relation of power-law fluids. Three cases are considered: 1) circular obstacle (C1), 2) semicircular obstacle (C2), and 3) both circular and semicircular obstacles. A range of values of the power-law index 0.3≤n≤1.7 are considered at Re=20 to check the impact of shear-thinning and shear-thickening viscosity on the drag and lift coefficients. The correlation between drag and lift coefficients is calculated against the power-law index. The simulated results of velocity and pressure are investigated at different sections of the channel. Benchmark results of drag and lift for the Newtonian fluid are reproduced as a special case. A strong positive correlation is observed between drag and lift coefficients in the case of a single obstacle, while in the case of dual obstacles and inverse correlation, drag and lift coefficients have been found.

Numerical Study of Shear and Extensional Inelastic Contraction Flows

“…The relationship between maximum axial velocity and power index n in shear thinning and shear thickening, respectively with fixed {Re=1, k=1, μ 0 =2} is presented in Figure 7(a) and Figure 7(b). In both cases a direct proportionality between the maximum velocity and n is occurred with high level is appeared in the shear thickening situation, which is consistence with findings reported by others in power law model too [25]. 𝝁 𝟎 -variation: The history convergence tolerances of axial velocity and pressure with 𝜇 0 variation and {Re=10 and k =1} are shown in Figure 8 and Figure 9 again in shear thinning (n=0.8) and shear thickening (n=2.…”

Finite Element Modeling and Optimal Design of an Electromagnetic Pneumatic Flow Servo Valve

“…For dynamic analysis of an electromagnetic pneumatic fow servo valve, Rashid et al evaluated diferent fow features for a modifed cross-model fuid fow, which aims to analyze the parameters and choose accurate solutions. A wide range of parameters and coefcients of drag and lift had been performed [23,24]. Shi et al proposed a transfer feature learning method that applied a new method to achieve the acquired parameters and dynamic characteristics of the valve [25,26].…”