Scale-up in Chemical Engineering

Dimensional analysis: fundamental principles; what is a dimension?; what is a physical quantity?; basic and derived quantities, dimensional constants; dimensional systems; dimensional homogeneity of a physical content; the pi theorem. The determination of a pi set by matrix remodelling scale invariance of a pi-space. The fundamentals of scale-up important tips for the construction of the relevance list of a problem: treatment of universal physical constants; introduction of intermediate quantities. Important aspects concerning scale-up: scale-up at the unavailability of a model; material system scale-up under conditions of partial similarity. Preliminary summary of the essentials of scale-up: advantages of dimensional analysis; applicability of dimensional analysis; experimental techniques for scale-up. Treatment of variable physical properties by dimensional analysis: dimensionless representation of the material function; reference-invariant representation of the material function; pi-space for variable physical properties; material function for the non-Newtonian fluids pi-space for non-Newtonian fluids. Reduction of the pi-space - typical problems and mistakes in carrying out the dimensional analysis optimization of the process conditions by combining of process characteristics selected examples: selected examples of the use of dimensional analysis in the mechanical process engineering; selected examples of the use of dimensional analysis in the thermal process engineering; selected examples of the use of dimensional analysis in the chemical process engineering; selected examples of the use of dimensional analysis in the living world.