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The (maximum) head difference is more than what would be expected in stationary flow situations (such as rivers).
This is the case for 2-D stationary flows in which there are only two degrees of freedom and .
Fluid forces on a body in shear-flow: Experimental use of 'stationary flow'.
Often, the mean field is the object of interest, and this is constant too in a statistically stationary flow.
The plane shear flow is a simple example of large-scale stationary flow that deforms fluid elements because of a uniform shear.
For example, Shafranov used a magnetohydrodynamic (MHD) analogy to Hill's stationary fluid mechanical vortex to consider the equilibrium conditions of axially symmetric MHD configurations, reducing the problem to the theory of stationary flow of an incompressible fluid.
Since vector fields can be visualized as stream-lines of a stationary flow or as Faraday's lines of force, a non-vanishing vector field in space generates a space-filling system of lines through each point, known to mathematicians as a congruence (i.e., a local foliation).