Fresh water is supplied to individual households using large pipe networks that create the mains for each neighbourhood. From the mains, the water is taken to the houses and then distributed throughout the household using pipes like the one in Figure 1. Due to the use of pipes with a certain relative roughness and the use of elbows, gate valves, tee junctions, fittings, etc, the pressure at the point of exit changes compared to the one at the point of entry. Part A: (a) Water at 20 °C (p = 998.3 and v = 1 × 10-6 m²/s) flows through a galvanised iron pipe (k = 0.15 mm) with a diameter of 25 mm, entering the room at point A and discharging at point C from the fully opened gate valve B at a volumetric flow rate of 0.003 m³/s. Determine the required pressure at A, considering all the losses that occur in the system described in Figure Q1. Loss coefficients for pipe fittings have been provided in Table 1. (b) Due to corrosion within the pipe, the average flow velocity at C is observed to be V2 m/s after 10 years of operation whilst the pressure at A remains the same as determined in (a). Determine the average annual rate of growth of k within the pipe, 25 mm Table 1. Loss coefficients for pipe fittings Loss coefficients for KL Gate valve-fully opened 0.19 90° elbow 0.9 Tee along the main channel 0.4 Tee along branch 1.8

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter37: Air Distribution And Balance

Section: Chapter Questions

Problem 21RQ: If a rectangular duct system s (12in.26in.) has an average velocity of 700 fpm, what is the airflow?

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Fresh water is supplied to individual households using large pipe networks that create
the mains for each neighbourhood. From the mains, the water is taken to the houses
and then distributed throughout the household using pipes like the one in Figure 1. Due
to the use of pipes with a certain relative roughness and the use of elbows, gate valves,
tee junctions, fittings, etc, the pressure at the point of exit changes compared to the
one at the point of entry.
Part A:
(a) Water at 20 °C (p = 998.3 and v = 1 × 10-6 m²/s) flows through a galvanised
iron pipe (k = 0.15 mm) with a diameter of 25 mm, entering the room at point A and
discharging at point C from the fully opened gate valve B at a volumetric flow rate of
0.003 m³/s. Determine the required pressure at A, considering all the losses that occur
in the system described in Figure Q1. Loss coefficients for pipe fittings have been
provided in Table 1.
(b) Due to corrosion within the pipe, the average flow velocity at C is observed to be
V2 m/s after 10 years of operation whilst the pressure at A remains the same as
determined in (a). Determine the average annual rate of growth of k within the pipe,
25 mm

Table 1. Loss coefficients for pipe fittings
Loss coefficients for
KL
Gate valve-fully opened
0.19
90° elbow
0.9
Tee along the main channel
0.4
Tee along branch
1.8

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