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The mass balance for a fluid with density ($\rho$) and velocity ($\overrightarrow{V}$) is

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