Abstract
This study focuses on the computational implementation of structured non-uniform finite volume method for the 2-D laminar flow of viscoelastic fluid past a square section of cylinder in a confined channel with a blockage ratio 1/4 for Re = 10-4, 5, 10 and 20. Oldroyd-B model (constant viscosity with elasticity) and the PTT model (shear-thinning with elasticity) are the constitutive models considered. In this study effects of the elasticity and inertia on the drag coefficients and stress fields around the square cylinder are obtained and discussed in detail. With an increase elasticity, drag coefficients get smaller due to stronger shear thinning effects for PTT fluid, however, the drag coefficients show slightly enhancement for the Oldroyd-B fluid.
Highlights
Numerical analysis of flow past the obstacles has received considerable attention for a long time [1,2,3,4,5]
This study focuses on the computational implementation of structured non-uniform finite volume method for the 2-D laminar flow of viscoelastic fluid past a square section of cylinder in a confined channel with a blockage ratio 1/4 for Reynolds number (Re) = 10-4, 5, 10 and 20
Flows are simulated at various Reynolds and Weissenberg numbers by utilizing the finite volume method
Summary
Numerical analysis of flow past the obstacles has received considerable attention for a long time [1,2,3,4,5]. The behavior of a fluid flow past a square cylinder often has many complex phenomena such as flow separation, vortex shedding, recirculation length of wake flow (the flow path behind the square cylinder), distribution of the shear and normal profile around the solid surfaces of the square cylinder and, drag and lift force coefficients [9,10,11,12] Majority of these studies in the literature deal with flow of a Newtonian fluid around a circular obstacle and to a smaller extend, around a square obstacle. For example Breuer et al [9] examined laminar Newtonian flow around a square cylinder in a 2D channel using two different computational techniques, finite volume and lattice-Boltzmann automata Their blockage ratio B, defined as the ratio between the obstacle dimension and channel height, was 1/8.
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