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CE 230-Engineering Fluid Mechanics Lecture # 20-21 BERNOULLI EQUATION

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Remember Euler’s equation Assumption made no losses

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Let’s take l along a stream line call s (i.e. flow along a streamline) But Therefore

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Assume steady flow and drop subscript But last term is Substituting back, dividing by γ (assuing incompressible fluid) and integrating wrt s we get

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Bernoulli equation One form of BE is Note assumptions made No losses Flow along streamline Steady flow incompressible

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4.44 Consider water jet shown. Calculate h, if the water velocity as it exists the nozzle is 20 ft/s

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4.103 Find pressure at A if h=15 m and V=6 m/s

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L H Estimate exit velocity and minimum pressure

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Stagnation tube

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5 m 60 cm Hg Find flow rate of water given pipe diameter at 2 =10 cm pipe diameter at 1 =30 cm

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4.64 Find V and Q

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5.76 Find manometer deflection

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Pitot tube

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