Estimation of the Settling Velocity and Drag Coefficient of Sphere Settling in a Vertical and Inclined Channel at Different Temperatures

The settling of particles in a fluid is one of the most common phenomena in nature and industrial applications like pharmaceutical, chemical, oil and gas production. The particle terminal velocity (V), Coefficient of drag ( \({C}_{D}\) ) and the effect of the wall plays a significant role in the multiphase flows. The terminal velocity (V) and Coefficient of drag (CD) are measured experimentally in the same Newtonian fluid at two different temperatures for different spheres and the Diameter ratio (0.06–0.32) at different angles (90°–30°). As the temperature rises, the viscosity decreases, increasing the terminal velocity (V) of the spherical particle and influencing the drag coefficient ( \({C}_{D}\) ) of the particles. The wall effect on the particle is also studied by considering the channel of different diameters. The empirical relation for the wall factor in terms of diameter ratio is developed. The predicted and the experimental results show good agreement with each other.