Numerical Study of the Effect of Wedge Angle of a Wedge-Shaped Body in a Channel using Lattice Boltzmann Method

Abstract

The aim of this paper is to study the fluid flow behavior around a wedge shaped body with different wedge angles placed in a channel using Lattice-Boltzmann Method (LBM). The LBM has built up on the D2Q9 model and the single relaxation time method called the Lattice-BGK (Bhatnagar-Gross-Krook) model. The influence of the gap ratio G* = G/H, where H is the distance between two parallel walls, G is the gap between body and wall, on the flow field is illustrated. The gap ratio, G*, depends on the angle of wedge-shaped body (0° < < 180°). Streamlines, vorticity contours and pressure contours are provided to analyze the important characteristics of the flow field for a wide range of non dimensional parameters namely the Reynolds number (Re), Strouhal number (St) and the gap ratio(G*). However, it is seen that the flow can be characterized by three regions: (i) large gap ratio, 0.44 < G* < 0.50, with 0° < < 55°, (ii) intermediate gap ratio, 0.20 G* 0.44, with 55° 120° and (iii) small gap ratio, 0 < G* < 0.20, with 120° < < 180°. The simulation results are compared with experimental data and other numerical models and found to be very reasonable and satisfactory.