[Spaces of universal flows]
An isochoric motion can be performed both in perfect fluid, in Newtonian fluid, in Maxwell fluid (slow motions) and in Rivlin–Ericksen fluid of second grade whatever be viscosities and viscometric coefficients, iff the motion is universal. Every universal motion with steady vorticity is a generalised Belrami flow, and fulfils the Stokes equation. If the velocity of an universal motion complies with , the motion stands for feasible motion in every second order fluid. Brothers of the potential flows, all the sets of universal motions make up bundles of linear or conoı̈d spaces with various dimensions, finite or infinite, issued from the rest . The structures appear by scanning parallel to the potential flows.
Un mouvement isochore sera réalisable conjointement en fluide parfait, en fluide newtonien, en fluide de Maxwell (à faible vitesse) et en fluide de Rivlin–Ericksen de second grade quels que soient la viscosité et les coefficients viscométriques, si (et seulement si) il est premier. Tout mouvement premier à tourbillon stationnaire est vissé généralisé, et satisfait l'équation de Stokes. Si la vitesse d'un mouvement premier vérifie , le mouvement devient réalisable dans tous les fluides viscoélastiques du second ordre. Fratrie des écoulements potentiels, ces divers ensembles de mouvements premiers sont scannés parallèlement aux écoulements potentiels : ce sont des faisceaux d'espaces conoı̈des de dimensions variées, finies et infinies, issus du repos .
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Keywords: Fluid mechanics, Vorticity in simple fluids, Couette flow, Poiseuille flow, Strakhovitch flow, Dunn–Fosdick–Rajagopal hypothesis
Michel Bouthier 1
@article{CRMECA_2003__331_2_165_0, author = {Michel Bouthier}, title = {Espaces d'\'ecoulements dits {\guillemotleft} universels {\guillemotright}}, journal = {Comptes Rendus. M\'ecanique}, pages = {165--172}, publisher = {Elsevier}, volume = {331}, number = {2}, year = {2003}, doi = {10.1016/S1631-0721(02)00011-6}, language = {fr}, }
Michel Bouthier. Espaces d'écoulements dits « universels ». Comptes Rendus. Mécanique, Volume 331 (2003) no. 2, pp. 165-172. doi : 10.1016/S1631-0721(02)00011-6. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)00011-6/
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