Hydraulics and Fluid Mechanics - Continuity Equation

Continuity Equation states that in a steady flow process (flow where the flow rate do not change over time) through a control volume (the stored mass in the control volume do not change ) the inflow is equal to outflow.

Continuity equation is based on the the Law of Conservation of Mass , which says that mass can neither be created nor destroyed.


where ρ=mass density,

A= area of cross section,

V=velocity of flow.

Continuity equation is commonly used for pipes, tubes and ducts with flowing fluids or gases, rivers, overall processes as power plants, transportation etc.,

Hoover dam is an arch-gravity dam constructed on Colorado river in USA.

Hoover dam

Hoover dam

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