Continuity equation for a one-dimensional flow through the uniform cross-sectional area is (where ρ is the mass density of fluid: and u is the velocity component in x-direction: and t is time variable)

1
\(\frac{\partial \rho}{\partial t} + \frac{\partial \rho u}{\partial x} = 0\)
2
\(\frac{\partial \rho}{\partial x} + \frac{\partial \rho u}{\partial x} = 0\)
3
\(\frac{\partial \rho}{\partial t} - \frac{\partial \rho u}{\partial x} = 0\)
4
\(\frac{\partial \rho}{\partial x} + \frac{\partial \rho u}{\partial y} = 0\)

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