Nonmodal stability in Hagen-Poiseuille flow of a shear thinning fluid
نویسندگان
چکیده
منابع مشابه
Universal dynamics in the onset of a Hagen-Poiseuille flow.
The dynamics in the onset of a Hagen-Poiseuille flow of an incompressible liquid in a channel of circular cross section is well-studied theoretically. We use an eigenfunction expansion in a Hilbert space formalism to generalize the results to channels of an arbitrary cross section. We find that the steady state is reached after a characteristic time scale tau=(A/P)2(1/nu), where A and P are the...
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Lift forces on a cylindrical particle in plane Poiseuille flow of shear thinning fluids are investigated by direct numerical simulation. Previous works on this topic for Newtonian fluids show that the two-dimensional channel can be divided into alternating regions defined by the stability of the particle’s equilibrium. We observe stability regions with the same pattern in flows of shear thinnin...
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The flow of a thin layer of power-law fluid on a porous inclined plane is considered. The unsteady equations of motion are depth-integrated according to the von Karman momentum integral method. The variation of the velocity distribution with the depth is accounted for, and it is furthermore assumed that the flow through the porous medium is governed by the modified Darcy’s law. The stability co...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2012
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.85.066318