منابع مشابه
Stability Criteria of 3d Inviscid Shears
Recent numerical studies in the area of transition to turbulence discovered that the classical plane Couette flow, plane Poiseuille flow, and pipe Poiseuille flow share some universal 3D steady coherent structure in the form of a “streak-roll-critical layer”. As the Reynolds number approaches infinity, the steady coherent structure approaches a 3D limiting shear of the form (U(y, z), 0, 0) in v...
متن کاملStability criteria and turbulence paradox problem for type II 3D shears
There are two types of 3D shears in channel flows: (U(y, z), 0, 0) and (U(y), 0, W (y)). Both are important in organizing the phase space structures of the channel flows. Stability criteria of the type I 3D shears were studied in [Li, 2010]. Here we study the stability criteria of the type II 3D shears. We also provide more support to the idea of resolution of a turbulence paradox, introduced i...
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The stability of modulated atmospheric flows is analyzed. The equations govern. ing the disturbance motion are solved by Galerkin expansions with time-dependent coefficients. Asymptotic stability bounds are then established by constructing Liapuno"\ functions for the resulting differential systems.
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Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction and that in transverse direction, if there is no work input. In this note, it is shown based on the energy gradient theory that inviscid nonuniform flow is uns...
متن کاملThe Hydrodynamic Stability of Inviscid Flow between Coaxial Cylinders.
where R1 and R2 are, respectively, the radii of the inner and the outer cylinders. The presence of viscosity inhibits the onset of instability and condition (3) must be violated by a certain determinate extent before instability can arise. The extent of this inhibition has been considered by a number of authors since G. I. Taylor first investigated the problem.1 The equations of viscous flow al...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 2011
ISSN: 0033-569X,1552-4485
DOI: 10.1090/s0033-569x-2011-01213-7