1. A straight duct extends in the z direction for a length L and has a square cross section, bordered by the lines r = +B and y = ±B. A colleague has told you that the velocity distribution is given by (Po - Pr) B? 4µL Since this colleague has occasionally given you wrong advice in the past, you feel obliged to check the result. Does it satisfy the relevant boundary conditions and the relevant differential equation? 2. According to the review article by Berker', the mass rate of flow in a square duct is given by 0.563 (Po - PL) B'e Compare the coefficient in this expression with the coefficient that one obtains from (1).
1. A straight duct extends in the z direction for a length L and has a square cross section, bordered by the lines r = +B and y = ±B. A colleague has told you that the velocity distribution is given by (Po - Pr) B? 4µL Since this colleague has occasionally given you wrong advice in the past, you feel obliged to check the result. Does it satisfy the relevant boundary conditions and the relevant differential equation? 2. According to the review article by Berker', the mass rate of flow in a square duct is given by 0.563 (Po - PL) B'e Compare the coefficient in this expression with the coefficient that one obtains from (1).
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:1. A straight duct extends in the z direction for a length L and has a square cross section,
bordered by the lines r = +B and y = ±B. A colleague has told you that the velocity
distribution is given by
(Po – P1) B?
4µL
Since this colleague has occasionally given you wrong advice in the past, you feel obliged to
check the result. Does it satisfy the relevant boundary conditions and the relevant differential
equation?
2. According to the review article by Berker', the mass rate of flow in a square duct is given
by
0.563 (Po - PL) Bp
Compare the coefficient in this expression with the coefficient that one obtains from (1).
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