Problem 2. The flow rate of air in a rectangular duct is to be determined by installing pressure taps across a 90° bend half way through the bend. The duct depth is b = 0.30 m. The inner and outer radii of the bend are 0.25 m and 0.35 m, respectively. If the measured pressure difference between the taps is 40 mm of water, calculate the volumetric flowrate. For your analysis assume that the flow into the bend is similar to a free vortex (irrotational) with a velocity profile of V = c/r (where c is a constant) as shown. In doing so, prove that the flow rate is given by b ln( 2rr2 Ap P(-1) NOTE: See Example 6.1 in textbook for solution that assumes uniform flow in the bend. flow D duct with 90° bend b flow T1 12 Vo
Problem 2. The flow rate of air in a rectangular duct is to be determined by installing pressure taps across a 90° bend half way through the bend. The duct depth is b = 0.30 m. The inner and outer radii of the bend are 0.25 m and 0.35 m, respectively. If the measured pressure difference between the taps is 40 mm of water, calculate the volumetric flowrate. For your analysis assume that the flow into the bend is similar to a free vortex (irrotational) with a velocity profile of V = c/r (where c is a constant) as shown. In doing so, prove that the flow rate is given by b ln( 2rr2 Ap P(-1) NOTE: See Example 6.1 in textbook for solution that assumes uniform flow in the bend. flow D duct with 90° bend b flow T1 12 Vo
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 2. The flow rate of air in a rectangular duct is to be determined by installing pressure taps across a 90°
bend half way through the bend. The duct depth is b = 0.30 m. The inner and outer radii of the bend are 0.25 m
and 0.35 m, respectively. If the measured pressure difference between the taps is 40 mm of water, calculate the
volumetric flowrate. For your analysis assume that the flow into the bend is similar to a free vortex (irrotational)
with a velocity profile of V = c/r (where c is a constant) as shown. In doing so, prove that the flow rate is given
by
b ln(
2rr2 Ap
P(-1)
NOTE: See Example 6.1 in textbook for solution that assumes uniform flow in the bend.
flow
D
duct with
90° bend
b
flow
T1
12
Vo
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