Description Many industrial and environmental flows can be categorised as flows of suspensions in yield-stress fluids (e.g. waste disposal, concrete, drilling muds, metalworking chip transport and food processing, flows of slurries and lava). Yield-stress fluids behave like solids when the applied stress is less than the yield stress and start to flow otherwise. Examples include toothpaste, gels, concrete, waxy crude oils, etc.In this study, we want to use computational fluid dynamics to study the suspension of particles/bubbles in yield-stress fluids. Key Objectives Literature survey on the topicReview the theoretical approaches proposed for rheology of suspensions in yield-stress fluidsAdapt CFD tools for numerical simulation of the problemPropose a Krieger–Dougherty type equation for the suspensions of particles/bubbles in yield-stress fluids