Which one of the following is the expression of the rotational component for a two-dimensional fluid element in \[x-y\]plane?

\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}-\frac{\partial u}{\partial y} \right)\]

\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial u}{\partial x}+\frac{\partial v}{\partial y} \right)\]

Which one of the following is the expression of the rotational compone

1.	Which one of the following is the expression of the rotational component for a two-dimensional fluid element in \[x-y\]plane?
A.	\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}-\frac{\partial u}{\partial y} \right)\]
B.	\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}-\frac{\partial u}{\partial y} \right)\]
C.	5 V
D.	\[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial u}{\partial x}+\frac{\partial v}{\partial y} \right)\]
Answer» B. \[{{\omega }_{z}}=\frac{1}{2}\,\left( \frac{\partial v}{\partial x}-\frac{\partial u}{\partial y} \right)\]

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Which one of the following is the expression of the rotational component for a two-dimensional fluid element in \[x-y\]plane?

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