The Pi-Theorem: Applications to Fluid Mechanics and Heat and Mass Transfer (Experimental Fluid Mechanics Book 1)

This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical motivation behind many flow processes and therefore it constitutes a valuable tool for the intelligent planning of experiments in fluids. After a short introduction to the underlying differential equations and their treatments, the author presents many novel approaches how to use the Pi-theorem to understand fluid mechanical issues. The book is a great value to the fluid mechanics community, as it cuts across many subdisciplines of experimental fluid mechanics. This volume presents applications of the Pi-Theorem to fluid mechanics and heat and mass transfer. The Pi-theorem yields a physical motivation behind many flow processes and therefore it constitutes a valuable tool for the intelligent planning of experiments in fluids. After a short introduction to the underlying differential equations and their treatments, the author presents many novel approaches how to use the Pi-theorem to understand fluid mechanical issues. This book is a great value to the fluid mechanics community, as it cuts across many subdisciplines of experimental fluid mechanics Front Matter....Pages i-xxv The Overview and Scope of the Book....Pages 1-2 Basics of the Dimensional Analysis....Pages 3-38 Application of the Pi-Theorem to Establish Self-Similarity and Reduce Partial Differential Equations to the Ordinary Ones....Pages 39-70 Drag Force Acting on a Body Moving in Viscous Fluid....Pages 71-102 Laminar Flows in Channels and Pipes....Pages 103-130 Jet Flows....Pages 131-157 Heat and Mass Transfer....Pages 159-210 Turbulence....Pages 211-260 Combustion Processes....Pages 261-296 Back Matter....Pages 297-305