4. The general equation for conservation of mass has the form $\frac{\partial ρ}{\partial t} + \nabla \cdot ρ \nabla = 0$ Is this equation linear or nonlinear? Why? Please make the proper assumptions and derive the continuity equation for incompressible flow. Also explain the physical meaning of "dilatation".

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4. The general equation for conservation of mass has the form

\frac{\partial ρ}{\partial t} + \nabla \cdot ρ \nabla = 0

Is this equation linear or nonlinear? Why? Please make the proper assumptions and derive the continuity equation for incompressible flow. Also explain the physical meaning of "dilatation".

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