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Steady flow

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A steady flow is characterized by constant values of all flow variables at any location in space. If \phi is any flow quantity like velocity, pressure, etc., then in steady flow

\frac{\partial \phi}{\partial t}(x,y,z,t) \equiv 0

Hence all flow quantities depend only on the spatial location

\phi(x,y,z,t) = \phi(x,y,z)

where as a flow in which flow/fluid properties keep on changing with time, is termed as unsteady flow.

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