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is the equation for flow velocity
Use equation.
You'll find "real-life applications" of the quadratic equation mainly in engineering applications, not in sustainable development.
Complex equations and their graphs are used to visualize electrical and fluid flow in the real world. For instance, the equation z+1/z can show the flow of water around a circular piling. The equation (z-1)/(z+1) and the graph can show the electrical force fields around two parallel wires carrying current.
Poiseuille Equation can only be applied to laminar flow.