Back دالة المجرى (ميكانيكا الموائع) Arabic Stromfunktion German Función de flujo Spanish Virtafunktio Finnish Fonction de courant French Funzione di corrente Italian 流れ関数 Japanese 유동 함수 Korean Funkcja prądu Polish Função de fluxo Portuguese
In fluid dynamics, two types of stream function are defined:
- The two-dimensional (or Lagrange) stream function, introduced by Joseph Louis Lagrange in 1781,[1] is defined for incompressible (divergence-free), two-dimensional flows.
- The Stokes stream function, named after George Gabriel Stokes,[2] is defined for incompressible, three-dimensional flows with axisymmetry.
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.
- ^ 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
- ^ 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