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- X2In addition find angular velocity in each case.Ans: (a) é̟ = é, = 0, Y, = (2+ 3y), @̟ =(2– 3y*)%3D2(b) = 2xyz, é, = -2yz', é̟ = 2yz' – 2xyz,%3D(x²z), -1 2*zx - 3y°z , Ys%3D2 21 z(x*z), 0,2 2z'x + 3y'z?0 = -(x'y+ yz')

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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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