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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
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

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Fluid Kinematics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY