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SAPO Fluids 16.1.png - Mathew-sleds Aooordin to the...

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Unformatted text preview: Mathew-sleds Aooordin to the 1::ontinu'rl1t:r equation for a liquid {an incompressible ﬂuid}1 the volume ﬂow.r rate is oonstant along the flow. hat means the produot of the uoss-seolional area and the firm speed is oonstant along the ﬂow. The date 5m that the pipe is narrower at location 2 than at location 1. It then follows from the oontinuit};r equation that the ﬂow speed at location 2 is higher than at location 1. {Hadeﬁonofnesstreﬁifereme For a horizontal flow+ the height tenns in Ben-loulli's equation are equal and oanoel eaoh other. leaving Bernoulli's equation in the form 1 l 2_ 2 pl+ipp]—p2+ipvz 1illrhere p denotes the pressure. p is the density, and it is the flow speed. The subscripts refer to any till-o looations along the ﬂow. we are asked to eeleutate the pressure diﬁerenoe lip-pry, ' iPH— Vi} WE are QWEI'l 9'1, but l'lEIEd 1'13 express 1% in [EITHE- Df given quantities. This is: WI'IEII'B ”IE oontinulty equation enters the game. It states ...
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