Question

20 55. (III) In Fig. 10–54, take into account the speed of the top surface of the tank and show that the speed of fluid leaving an opening near the bottom is U = I 28h V(1 - Aſ/A3) where h = y2 - yı, and Aq and Ay are the areas of the opening and of the top sur- face, respectively. Assume A1 « A2 so that the flow remains nearly steady and laminar. y2-y1 FIGURE 10–54 Problem 55.

Answer 1

Caiven h ben noulli equation nessune at Paint P is Use Similank Pnessune od is heigut difference beticen also thene s Hene Ane Point So fessuRe differnce is and 3 is tne density of fluid. Use definitionn af Bernoulli eauatin whene P 2 on Use 2gh on se eautien of con tinuity at ofening end top sunface is Nos 4 V A, VI AI on

nlow ean ( be comes 29h 2L On 2 C- 29h (1- /) Assume A, A AI くく 1 AL AL A2 Thus So hat, the Flow is sleady (neantyand laminan at