The Continuity Equation is a fundamental principle in fluid dynamics that expresses the conservation of mass in a flowing fluid. It states that the mass flow rate of a fluid must remain constant from one cross-section of a pipe to another, assuming there are no leaks. This means that if a fluid flows faster in one section, it must be narrower, while a slower section must be wider. Mathematically, the equation can be represented as A1V1 = A2V2, where A is the cross-sectional area and V is the fluid velocity. This relationship helps engineers and scientists analyze fluid behavior in various applications, such as in pipes, aircraft, and hydraulic systems.