Is the Eulerian View Valid for Unsteady Flows?

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The Eulerian view is debated regarding its validity for unsteady flows, with some arguing it only applies to steady flows due to the need for constant velocities at points in the flow domain. However, it is clarified that both Eulerian and Lagrangian descriptions are applicable to unsteady flows. The distinction between steady and unsteady flows does not invalidate either perspective. Therefore, the Eulerian view remains a valid approach for analyzing unsteady flow conditions. Understanding both frameworks is essential for comprehensive fluid dynamics analysis.
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Is Eulerian view valid when the flow is unsteady? I think Eulerian view is valid only for steady flows because the points in the flow domain should be with constant velocities.

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Neither the Eulerian nor Lagrangian descriptions of a flow field care whether the flow is steady or not. Both are valid for unsteady flows.
 
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