2. The rate-of rotation tensor is defined asWi = Eijk axj1 ди, ди,Nij =2 'дх, дх;and the vorticity of the velocity field is defined as the curl of the velocityW = V x ushow thatauk= -Eijk ljk

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1 du du, Nij 2 дх, дх 2. The rate-of rotation tensor is defined as - and the vorticity of the velocity field is defined as the curl of the velocity W = V × u show that дик Eijk axj = -Eijkljk W; =

1 du du, Nij 2 дх, дх 2. The rate-of rotation tensor is defined as - and the vorticity of the velocity field is defined as the curl of the velocity W = V × u show that дик Eijk axj = -Eijkljk W; =

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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Question

2. The rate-of rotation tensor is defined as
Wi = Eijk axj
1 ди, ди,
Nij =
2 'дх, дх;
and the vorticity of the velocity field is defined as the curl of the velocity
W = V x u
show that
auk
= -Eijk ljk

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