A Venturi meter (as shown in Figure Q5(b) below) is used for measuring flow of water along a pipe. The diameter of the Venturi throat is two fifths the diameter of the pipe. The inlet and throat are connected by water filled tubes to a mercury U-tube manometer. Showing the derivation of your flow equation, determine the inlet and throat velocity in m/s when H is 0.49 m. H is the manometer reading in metres of mercury. (Relative density of mercury is 13.6, density of water is 1,000 kg/m³ and acceleration due to gravity is 9.81 m/s). Ignore losses.
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First, we need to derive the flow equation for the Venturi meter. We can use the Bernoulli's equation, which states that the total energy of a fluid flowing through a pipe is constant along a streamline. This can be expressed as: P1 + 1/2Ļv1^2 + Ļgh1 = P2 + Show moreā¦
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