Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 1, Problem 1.21P
Figure 1.15 Orifice flow meter setup used for Problem 1.21.
1.21 The relation between the flow rate, Q, through a pipeline of area A and the pressure drop Ap across an orifice-type flow meter inserted in that line (Figure 1.15) is given by Q = CAyJlApIp where p is density and C is a coefficient. For a pipe diameter of 1 m and a flow range of 20 °C water between 2
•J
and 10 m /min and C = 0.75, plot the expected form of the calibration curve for flow rate versus pressure drop over the flow range. Is the static sensitivity a constant? Incidentally, the device and test method is described by both ANSI/ASME Test Standard PTC 19.5 and ISO 5167.
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4. Consider the branched pipe flow shown below used to transport water. Locations 1, 2, and 3 are
equipped with pressure gauges that measure interior pressures.
Inlet
P1
Outlet
P2
P3
Telepon sa
Outlet
Total volumetric flow rate at the inlet (1) is 0.27 m³/s. The diameter at location 1, 2, and 3
are 12.5 cm, 10 cm, and 7.5 cm, respectively. Pressure gauges 1 and 3 read 1.7 atm and 1.36
atm, respectively. Estimate the pressure pz. All three branches are in a horizontal plane.
Neglect friction losses.
QUESTION 1
Three pipes A, B, and C are interconnected as shown in figure 1. The pipe dimensions
are as follows:
D (cm)
15
10
20
Pipeline
L (m)
300
0.01
B
240
600
0.01
0.005
A
15 m
25 m
B
Figure 1
1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P
and entry to pipelines A and B.
1.2 Find the pressure at P.
Find the pressure drop between locations a and b for flow in a pipe using the following data: Working fluid: Water Pipe: Stainless steel, Schedule No. 120 Nominal pipe size (cm): 10 Flow rate (m3 /min): 2.271 Temperature (C): 38 Length (m): 45.72 Solve for the following 3 cases: a) Za = Zb =33.5 m, b) Za = Zb + 15 m, and c) Za = Zb + 46 m.
Chapter 1 Solutions
Theory and Design for Mechanical Measurements
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