Liquid Flow. A cylindrical tank of diameter D is filled with water to a height h. Water is allowed to flow out of the tank through a hole of diameter d in the bottom of the tank. The differential equation describing the height of water in the tank as a function of time is dh - /2gh D? dt where g is the acceleration due to gravity. Produce a plot of height of water in the tank as a function of time for D = 10 ft, d = 6 in and ho = 30 ft. Compare your results with the analytical solution h= k = (d² ID²)/2g .

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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.