Filtration is the process of separating solids from fluids by passing the fluid through a porous medium that retains the solids. There are different types of filtration including surface filtration using screens or sieves, and depth filtration where particles are retained within the tortuous paths of the medium. Filtration has various applications in industries like pharmaceuticals and wastewater treatment. Mechanical screening is used to separate materials into grades by particle size and involves vibrating screens to facilitate separation based on factors like vibration, density, and particle shape.