3.3 Determine linear and angular strain rates for the following flow fields: (a) V = y'i +2»j (b) V = x°yzi – y'z}+ yz² - x In addition find angular velocity in each case. Ans: (a) é, = é, = 0, (2+ 3y), w, =(2- 3y) %3D (b) i = 2xyz, é, = -2yz', è̟ = 2yz' – 2xyz, %3D z'x - 3y'z , Y =(*y – y²') %3D 1 1 z'x + 3y'z? 2 2 %3D
3.3 Determine linear and angular strain rates for the following flow fields: (a) V = y'i +2»j (b) V = x°yzi – y'z}+ yz² - x In addition find angular velocity in each case. Ans: (a) é, = é, = 0, (2+ 3y), w, =(2- 3y) %3D (b) i = 2xyz, é, = -2yz', è̟ = 2yz' – 2xyz, %3D z'x - 3y'z , Y =(*y – y²') %3D 1 1 z'x + 3y'z? 2 2 %3D
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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![3.3 Determine linear and angular strain rates for the following flow fields:
(a) V = y'î +2»j
(b) V =x³yzi – y'zj + yz
- X
2
In addition find angular velocity in each case.
Ans: (a) é̟ = é, = 0, Y, = (2+ 3y), @̟ =
(2– 3y*)
%3D
2
(b) = 2xyz, é, = -2yz', é̟ = 2yz' – 2xyz,
%3D
(x²z), -
1 2*
zx - 3y°z , Ys
%3D
2 2
1 z
(x*z), 0,
2 2
z'x + 3y'z?
0 = -
(x'y+ yz')](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c7bd83c-c6b5-4718-9704-411934796fb7%2Fa8f3a174-6491-4195-88e6-fa86275e1530%2Ffpggebg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.3 Determine linear and angular strain rates for the following flow fields:
(a) V = y'î +2»j
(b) V =x³yzi – y'zj + yz
- X
2
In addition find angular velocity in each case.
Ans: (a) é̟ = é, = 0, Y, = (2+ 3y), @̟ =
(2– 3y*)
%3D
2
(b) = 2xyz, é, = -2yz', é̟ = 2yz' – 2xyz,
%3D
(x²z), -
1 2*
zx - 3y°z , Ys
%3D
2 2
1 z
(x*z), 0,
2 2
z'x + 3y'z?
0 = -
(x'y+ yz')
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