Existence of threedimensional, steady, inviscid, incompressible flows with nonvanishing vorticity.
H.D. Alber (1992)
Mathematische Annalen
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H.D. Alber (1992)
Mathematische Annalen
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S. Pejović (1965)
Matematički Vesnik
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Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
V.M. Soundalgekar (1970)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Erdoğan, M.Emin, İmrak, C.Erdem (2008)
Mathematical Problems in Engineering
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Mathematical Problems in Engineering
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Fernando Carapau, Adélia Sequeira (2008)
Banach Center Publications
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Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and...