Abstract
The confined flow of a Newtonian fluid around a square cylinder mounted in a rectangular channel was investigated both numerically and experimentally. Ratio between the pipe and channel height, the blockage ratio, is kept constant at 1/4. The flow variables including streamlines, vorticity and drag coefficients were calculated at 0 ≤ Re ≤ 50 using finite volume method. The velocity terms in the momentum equations are approximated by a higher-order and bounded scheme of Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection (CUBISTA). Particle Image Velocimetry (PIV) was also used to obtain the two-dimensional velocity field. The flow measurements were conducted for 1 ≤ Re ≤ 50. Streamline and vorticity results obtained by PIV are compared with those of the numerical simulation. Based on this comparison, good agreement is found between the numerical and experimental results in a qualitative manner.
Highlights
Numerical analysis of the flow past over bluff bodies have been conducted in fluid mechanical studies for a long time [1,2,3,4]
The flow variables including streamlines, vorticity and drag coefficients were calculated at 0 ≤ Re ≤ 50 using finite volume method
The streamline profiles are shown in the upper half of figures, while the vorticity contours are shown in the lower half
Summary
Numerical analysis of the flow past over bluff bodies have been conducted in fluid mechanical studies for a long time [1,2,3,4]. Characteristics of the steady confined flow past a square cylinder have been studied by Breuer et al [8] They presented results for Re = 0.5–300 in two-dimensional flow. Sharma and Eswaran [10] presented results for B = 1/20 and Re = 1−160 by using a finite-volume formulation These studies are related to the physics of the Newtonian flow past a square cylinder and the accuracy of numerical predictions of simulations. Convective terms in the equations are approximated by at least second-order accurate, bounded and non-uniform version of CUBISTA [13] scheme given in Eq (4).
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