In scientific literature, we know that the condition for incompressible flow is that the particular derivative of the fluid density ρ is zero: DρDt=0
and for steady flows the condition is that the partial derivative with respect to time is zero (∂ρ∂t=0).
However, the definition of the particular derivative is: DρDt=∂ρ∂t+(→v⋅→∇)ρ
The question is: if a flow is incompressible does that mean that the flow is necessarily steady? Can there be an unsteady and incompressible flow?
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