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
Related questions
Question
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
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY