p0540 - . . . . . . . Figure 5.18: Galilean transformation...

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498 CHAPTER 5. CONSERVATION OF MASS AND MOMENTUM 5.40 Chapter 5, Problem 40 We must make a Galilean transformation in order to make the flow steady, wherefore we can use Bernoulli’s equation. The velocities transform as indicated in Figure 5.18. U P U P (Unsteady) P U U P (Steady) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ... .... . . . . . . . . . . . . . . . .... ...............................
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Unformatted text preview: . . . . . . . Figure 5.18: Galilean transformation details. Then, from Bernoullis equation, p t = p P + 1 2 ( U U P ) 2 = U U P = 2 ( p t p P ) Hence, the velocity at Point P is U P = U 2 ( p t p P ) For the given values, U P = 9 m sec > : 2 1000 kg / m 3 w 18000 N m 2 W = 3 m sec...
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.

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