Understanding Hydrodynamics: Fluid Flow, Bernoulli′s Equation, and Practical Applications
This PowerPoint explores hydrodynamics, focusing on fluid flow, Bernoulli′s equation, and the conservation of fluid mass. It discusses laminar and turbulent flow, where laminar flow follows smooth paths and turbulent flow results in chaotic motion. The equation of continuity is introduced, showing that fluid flow rate must be constant through a pipe. Bernoulli′s equation is derived, explaining how pressure, velocity, and height are related in steady fluid flow, incorporating kinetic and potential energy. Additionally, Torricelli’s theorem is discussed, relating the speed of fluid flowing from a spigot to the height of the fluid above it. The presentation also explores practical applications and examples like the behavior of sheets of paper when air is blown between them.