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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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.
%VY l. lin. 3. N
Sheet 1.pdf →
Sheet 1
Page 1 of 2
Q1/
An orifice meter is to be calibrated for the measurement of the flow rate of a stream of
liquid acetone. The differential manometer fluid has a specific gravity of 1.10. The calibration
is accomplished by connecting the orifice meter in series with a rotameter that has
previously been calibrated for acetone, adjusting a valve to set the flow rate, and recording
the flow rate (determined from the rotameter reading and the rotameter calibration curve)
and the differential manometer reading, h. The procedure is repeated for several valve
settings to generate an orifice meter calibration curve of flow rate versus h. The following
data are taken.
VALVEX
Flow Rate D (ml/s)
Manometer Reading
h(mm)
62
10
15
87
107
20
123
25
30
138
151
1- For each of the given readings, calculate the pressure drop across the orifice, AP (mm
Hg).
2- The flowrate through an orifice should be related to the pressure drop across the
orifice by the formula.
V =…
Chapter 1 Solutions
Theory and Design for Mechanical Measurements
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