The scouring effect at the base of the bridge piers causes the collapse of bridges worldwide. The passage of horseshoe vortices and strong turbulent oscillations around bridge piers are assumed to be the prime reasons for this complex phenomenon. The research employs ANSYS (Fluent) software to address the Reynolds-Averaged Navier–Stokes (RANS) equation within the framework of the Eulerian multiphase, incorporating the k-ω turbulence model coupled with sediment transport and bed deformation sub-models. In addition to the conventional bed shear stress, a robust vertical flow is established, transforming turbulent kinetic energy into shear stress at the sediment surface. As a result, sediment particles are compelled to depart from the bed to the downward side of the bridge piers. In this paper, (Melville in Local scour at bridge sites. University of Auckland, Auckland, New Zealand, 1975 [15]) experimental work on bridge pier scour depth is modelled using k-ω standard and k-ω shear stress transport (SST) models. The variation of longitudinal velocity distribution, turbulent kinetic energy (TKE) and pressure distributions have been studied in six different sections near the upstream and downstream sides of the bridge pier. Both models provide nearly similar results. However, the velocity and TKE values obtained by the k-ω standard turbulence model is higher than those of the k-ω SST turbulence model.