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p0540

# p0540 - Figure 5.18 Galilean transformation details Then...

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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 Bernoulli’s equation, p t = p P + 1 2 ρ ( U − U P ) 2 = ⇒ U − U P = ± 2 ρ ( p t − p P ) Hence, the velocity at Point P is U P = U − ± 2 ρ ( p t − p P ) For the given values, U P = 9 m sec − > ² ² : 2 1000 kg / m 3 w 18000 N m 2 W = 3 m sec...
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