The flowrate, Q, of corn syrup through the horizontal pipe shown in Fig. is to be monitored by measuring the pressure difference between sections (1) and (2). It is proposed that Q=K Ap, where the calibration constant, K, is a function of temperature, T, because of the variation of the syrup's viscosity and density with temperature. These variations are given in Table E8.3. a. Determine the wall shear stress and the pressure drop, Ap-p1-p2, for Q=0.5 ft3/s and T=100 °F. b. For the conditions of part (a), determine the net pressure force, (πD2/4) Ap, and the net shear force, лDτw, on the fluid within the pipe between the sections (1) and (2). 100 120 140 160 (1) 2.04 2.03 2.02 (2) T (°F) p (slugs /ft³) μ (lb-s/ft²) 60 2.07 4.0 x 10 80 2.06 1.9 x 10-2 2.05 3.8 x 10 3-in. diameter -2 4.4 x 10 9.2 x 10-5 2.3 x 10-5

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Example
The flowrate, Q, of corn syrup through the horizontal pipe shown in Fig. is to be
monitored by measuring the pressure difference between sections (1) and (2). It is
proposed that Q-K Ap, where the calibration constant, K, is a function of temperature,
T, because of the variation of the syrup's viscosity and density with temperature.
These variations are given in Table E8.3.
a. Determine the wall shear stress and the pressure drop,
Ap-p1-p2, for Q=0.5 ft3/s and T=100 °F.
b. For the conditions of part (a), determine the net pressure
force, (лD2/4) Ap, and the net shear force, "Detw, on the fluid
within the pipe between the sections (1) and (2).
Q
(1)
100
120
140
160
-6 ft-
(2)
3-in.
diameter
T (°F) p (slugs /ft³) μ (lb-s/ft²)
60 2.07
4.0 × 10-2
80
2.06
1.9 × 10-2
2.05
3.8 x 107
2.04
4.4 x 10-4
2.03
9.2 × 10-5
2.02
2.3 x 10-5
-3
Transcribed Image Text:Example The flowrate, Q, of corn syrup through the horizontal pipe shown in Fig. is to be monitored by measuring the pressure difference between sections (1) and (2). It is proposed that Q-K Ap, where the calibration constant, K, is a function of temperature, T, because of the variation of the syrup's viscosity and density with temperature. These variations are given in Table E8.3. a. Determine the wall shear stress and the pressure drop, Ap-p1-p2, for Q=0.5 ft3/s and T=100 °F. b. For the conditions of part (a), determine the net pressure force, (лD2/4) Ap, and the net shear force, "Detw, on the fluid within the pipe between the sections (1) and (2). Q (1) 100 120 140 160 -6 ft- (2) 3-in. diameter T (°F) p (slugs /ft³) μ (lb-s/ft²) 60 2.07 4.0 × 10-2 80 2.06 1.9 × 10-2 2.05 3.8 x 107 2.04 4.4 x 10-4 2.03 9.2 × 10-5 2.02 2.3 x 10-5 -3
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