Numerical techniques applied to fluid-carrying solid particles or droplets are discussed. Both Reynolds Averaged Navier Stokes and Large Eddy Simulations techniques are applied to model the flow of the fluid. The presence of the disperse phase is accounted for by resorting to the Euler-Euler multifluid approach, Euler Lagrange particle tracking method, and Dense Discrete Phase Method. In the latter, the particles are traced in the Lagrangian coordinate system, while the interaction with other particles is accounted for using the Kinetic Theory of Granular Flow. Cyclones used to separate the dust from gases leaving the blast furnace, wet scrubber applied to dedust the gas leaving the cyclone, pulverized coal boiler, and circulated fluidized bed boiler are modeled, and the results compared with measurements taken on the objects. Additionally, the flow of blood treated as a multiphase medium – plasma carrying red and white blood cells, and platelets in blood vessels - is investigated, using the same numerical techniques. In each case, the results obtained compare well with the experimental data. The limitations of the discussed methods are pointed out.