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GATE Mechanical 2014 Set 2 | Question: 14

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For an incompressible flow field, $\overrightarrow{V}$, which one of the following conditions must be satisfied?

  1. $\bigtriangledown \cdot \overrightarrow{V}=0$
  2. $\bigtriangledown \times \overrightarrow{V}=0$
  3. $(\overrightarrow{V} \cdot \bigtriangledown) \overrightarrow{V}=0$
  4. $\frac{\partial \overrightarrow{V}}{\partial t}+(\overrightarrow{V} \cdot \bigtriangledown) \overrightarrow{V}=0$

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