Principles and Applications of Dimensional Analysis and Similarity

Sandro Longo is full professor of Hydraulics at the University of Parma, Italy, where he teaches Hydraulics and Environmental and Coastal Hydraulics and where he is also director of the Hydraulics Laboratory. His research interests include water wave generation and numerical modelling of sea waves, sediment transport, turbulence analysis, debris flows, soil quality management, non-Newtonian fluids in porous media and flows in poroelastic media, gravity currents, stratified flows. He is author or co-author of three books on Dimensional Analysis, Water Waves Mechanics, Measurements and Hydraulic Control Systems and of two textbooks on Exercises in Hydraulics and Fluid Mechanics. He serves in the editorial board of several international journals.

“I really enjoyed this book. The writing is clear and eloquent, and it was fun to see a wide range of fundamental physical principles derived in a concise manner. The book is substantial with a wide scope, so should be valuable to many.” (D. J. W. Simpson, SIAM Review, Vol. 65 (3), 2023)

• Introduction.- Dimensional Analysis.- Handling dimensionless groups in Dimensional Analysis.- Symmetry and affine transformations.- The theory of similarity and applications to models.- Applications in Fluid Mechanics and Hydraulics.- Applications to Heat Transfer Problems.- Applications to problems of forces and deformations.- Applications in Geotechnics.- Applications in wind tunnels technology.- Physical models in River Hydraulics.- Physical models with sediment transport.