Dimensional Analysis & Modelling

This lecture covers the concept of dimensional analysis, focusing on the Buckingham Pi-theorem and the determination of dimensionless pi-terms. It also explores examples such as drag on a sphere, flow in an inclined open channel, and pressure drop across a constriction. The importance of modeling in predicting physical system behavior is discussed, along with the theory of models and design conditions for similarity requirements. Gravitational effects in open channel flow are highlighted, emphasizing the need for Froude number similarity. The lecture concludes with practical examples and considerations for experimental model experiments.