Our current understanding of the dynamics involved in solid particle transport by fluid flows is incomplete, despite its prevalence in environmental, biomedical, and industrial processes. In many applications, the fluid flow is characterized by turbulence, which introduces additional complexities. The existing literature indicates that introducing particles into a turbulent flow has two main effects. Firstly, turbulence influences particle dispersion. At a specific Stokes number, particles accumulate preferentially in regions with high strain rates. This phenomenon highlights the role of turbulence in particle dispersion. Secondly, particles have an impact on the modulation of turbulence. The presence of particles can either enhance or attenuate turbulence depending on their size. This two-way interaction between particles and the fluid phase is called two-way momentum coupling. To investigate these phenomena found in the literature, we propose a study focusing on the influence of the two-way effect of particle-laden flows in the wake transition of the flow past a normal flat plate. Initially, we determine where the onset of three-dimensionality in the wake past a normal flat plate occurs and also study the influence of inflow boundary conditions on the wake dynamics of the flow. Subsequently, we implement an in-house Eulerian-Lagrangian solver to study the influence of wake transition on particle dispersion and the influence of particles on the onset of wake transition in bluff bodies. In our study, we will employ an Eulerian framework to simulate the fluid phase, while the simulation of particle-laden flows will be conducted using the Lagrangian point particle model. This approach allows us to examine both the behavior of the fluid flow and the dynamics of particles within it, considering their interactions and mutual influence