2. Find the rate of deformation for a line vortex with velocity field V=YG x² + y² Ans. E = -8 39 2xyG ¯(x² + y²)²³² xyG (x² + y²)² ¹6 = 6₁² = 0 yz -,&=0,8 = xG j, G=const.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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xG
2. Find the rate of deformation for a line vortex with velocity field V=YG -Î+
x² + y² x² + y²
Ans.
Ex = -6
yy
=
2xyG
(x² + y² ) ² ¹ ² =
,&_= 0,&
xyG
(x² + y²)² ¹6 =
-,&=&₁ = 0
-), G=const.
Transcribed Image Text:xG 2. Find the rate of deformation for a line vortex with velocity field V=YG -Î+ x² + y² x² + y² Ans. Ex = -6 yy = 2xyG (x² + y² ) ² ¹ ² = ,&_= 0,& xyG (x² + y²)² ¹6 = -,&=&₁ = 0 -), G=const.
Expert Solution
Step 1: Write the given data.

Velocity space field comma space straight V equals fraction numerator negative yG over denominator straight x squared plus straight y squared end fraction straight i plus fraction numerator xG over denominator straight x squared plus straight y squared end fraction straight j
Here space straight G space is space constant

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