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Question

Velocity vector of a flow field is given as
V=2xy^ix2z^j. The vorticity vector at (1, 1, 1) is

A
4^i^j
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B
4^i^k
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C
^i4^j
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D
^i4^k
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Solution

The correct option is D ^i4^k
Vorticity vector=∣ ∣ ∣ ∣ijkxyz2xyx2z0∣ ∣ ∣ ∣

=^i[0z(x2z)]^j[0z(2xy)]+^k[x(x2z)y(2xy)]

=^i(x2)+0+^k(2xz2x)

At ( 1, 1, 1)

Vorticity vector = ^i4^k


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