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

2. Remember Euler’s equation Assumption made no losses

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

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

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

6. 4.44 Consider water jet shown. Calculate h, if the water velocity as it exists the nozzle is 20 ft/s

7. 4.103 Find pressure at A if h=15 m and V=6 m/s

8. L H Estimate exit velocity and minimum pressure

9. Stagnation tube

11. 5 m 60 cm Hg Find flow rate of water given pipe diameter at 2 =10 cm pipe diameter at 1 =30 cm

12. 4.64 Find V and Q

13. 5.76 Find manometer deflection

14. Pitot tube