p0758 - 7.58. CHAPTER 7, PROBLEM 58 831 7.58 Chapter 7,...

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7.58. CHAPTER 7, PROBLEM 58 831 7.58 Chapter 7, Problem 58 Figure 7.34: Segment of a piping system—side view. Letting u 2 denote the velocity in the pipe after the sudden expansion, the total head loss is h L = u 2 2 g ^ f f D + K inlet + K union + K expansion + u 2 2 u 2 f 2 3 5 f 3 2 D ± Since the flow is steady, conservation of mass tells us the mass-flow rate, ˙ m ,iscons tan t on all cross sections. Thus, ˙ m = π 4 ρ uD 2 = π 4 ρ u 2 w 3 2 D W 2 = u 2 = 4 9 u Therefore, we can rewrite the total head loss as follows. h L = u 2 2 g w f + 32 405 f 2 W f D ² 1 major losses + K inlet + K union + K expansion ² 1 minor losses Major losses: In order to determine the major losses from the straight pipe sections, we must find the friction factors, f and f 2 . We can do this using the Moody diagram. First, we must know the Reynolds number based on local velocity and local pipe diameter and the ratio of k
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p0758 - 7.58. CHAPTER 7, PROBLEM 58 831 7.58 Chapter 7,...

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