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Question

The velocity field is defined as V=(8x6y)^i+(2yx)^j. The circulation around a closed curve defined by y=1,x=3,y=3 and x=4 is:

A
42
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B
-42
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C
30
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D
-30
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Solution

The correct option is C 30
Circulation = Vorticity × Area
=(vxuy)×(2×3)
=(1+6)×6
=30
Note: Vorticity =2ωz=(CirculationArea)

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