For an incompressible flow field, V . Which one of the following conditions must be satisfied?

▽ . - \to V = 0

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▽ \times - \to V = 0

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(\to V . ▽) - \to V = 0

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\frac{\partial \to V}{\partial t} + (\to V . ▽) - \to V = 0

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Solution

The correct option is A $▽ . - \to V = 0$
For an incompressible flow field, divergence must be zero i.e.,
$\nabla . - \to V = 0$

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