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Stream function
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=== Summary of properties === The basic properties of two-dimensional stream functions can be summarized as follows: # The ''x''- and ''y''-components of the flow velocity at a given point are given by the [[partial derivative]]s of the stream function at that point. # The value of the stream function is constant along every [[Streamlines, streaklines, and pathlines|streamline]] (streamlines represent the trajectories of particles in steady flow). That is, in two dimensions each streamline is a [[level curve]] of the stream function. # The difference between the stream function values at any two points gives the volumetric flux through the vertical surface that connects the two points.
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