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Applications of Bernoulli Equations

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Presentation on theme: "Applications of Bernoulli Equations"— Presentation transcript:

1 Applications of Bernoulli Equations

2 Stagnation point

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5 No pressure term

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7 Find P at point 2 and V at point 1

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17 no pressure from the fluid

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19 Free jet velocity

20 Separation variables Ode

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23 Example 3.1

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25 Example 3.2 2

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28 Example 3.3 1 1

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30 Example 3.4 0.61 m

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34 What is the pressure at point A?

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36 Example : Flow From a Tank- Gravity
A stream of water of diameter d = 0.1m flows steadily from a tank of Diameter D = 1.0m as shown below. Determine the flowrate, Q, needed from the inflow pipe if the water depth remains constant, h = 2.0m. 36 36

37 (1) With the assumptions that p1 = p2 = 0, z1 = h, and z2 = 0, Eq.1 becomes (2) Although the water level remains constant (h = constant), there is an average velocity,V1, across section (1) because of the flow from tank. For the steady incompressible flow, conservation of mass requires Q1 = Q2, where Q = AV. Thus, A1V1 =A2V2 , or 37 37

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42 Answer: (a) 61.5 KPa (b) 0.5 m

43 Answer: ,

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48 Example 48

49 Example 49

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