Stream function

For an incompressible-flow velocity vector field (red, top), its streamlines (dashed) can be computed as the contours of the stream function (bottom).

In fluid dynamics, two types of stream function (or streamfunction) are defined:

The properties of stream functions make them useful for analyzing and graphically illustrating flows.

The remainder of this article describes the two-dimensional stream function.

  1. ^ Lagrange, J.-L. (1868), "Mémoire sur la théorie du mouvement des fluides (in: Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-Lettres de Berlin, année 1781)", Oevres de Lagrange, vol. Tome IV, pp. 695–748
  2. ^ Stokes, G.G. (1842), "On the steady motion of incompressible fluids", Transactions of the Cambridge Philosophical Society, 7: 439–453, Bibcode:1848TCaPS...7..439S
    Reprinted in: Stokes, G.G. (1880), Mathematical and Physical Papers, Volume I, Cambridge University Press, pp. 1–16

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