7. The pitot tube shown below is used to determine the freestream, or bulk, flow velocity. Given the expression for total pressure below, which ignores hydrostatic pressure, and neglecting frictional losses of pressure, and where the subscript "i" indicates a fixed location in the flow field: (a) Determine an expression to solve for the free stream velocity of the fluid, uo, in terms of the height of the fluid in the manometer, h, the density of the manometer fluid, pm, and the density of the freestream fluid, Po., assuming pm >> Po (b) Provide direction on how to use this pitot tube properly such that it will accurately determine the free stream velocity, uo, and identify the type of pressure being measured by the manometer. (c) List the devices needed and why they are needed (what quantities do they determine) if you are to design an experiment using a pitot tube to measure flowing air at various altitudes electronically.

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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.