Vortexons in axisymmetric Poiseuille pipe flows
نویسندگان
چکیده
منابع مشابه
Vortexons in axisymmetric Poiseuille pipe flows
We present a study on the nonlinear dynamics of small long-wave disturbances to the laminar state in non-rotating axisymmetric Poiseuille pipe flows. At high Reynolds numbers, the associated Navier-Stokes equations can be reduced to a set of coupled Korteweg–de Vries-type (KdV) equations that support inviscid and smooth travelling waves numerically computed using the Petviashvili method. In phy...
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In this paper, we study the nonlinear dynamics of an axisymmetric disturbance to the laminar state in non-rotating Poiseuille pipe flows. In particular, we show that the associated Navier–Stokes equations can be reduced to a set of coupled Camassa–Holm type equations. These support inviscid and smooth localized travelling waves, which are numerically computed using the Petviashvili method. In p...
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This work is devoted to the study of the stability of Hagen–Poiseuille flow or pipe flow. The analysis is focused on the streak breakdown process by which two-dimensional streamwise-independent finite amplitude perturbations transiently modulate the basic flow leading to a profile that contains saddle points and is linearly unstable with respect to very small streamwise-dependent perturbations....
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Numerically computed spectra and pseudospectra are presented for the linear operator that governs the temporal evolution of infinitesimal perturbations of laminar flow in an infinite circular pipe at Reynolds numbers 1000, 3000 and 10 000. The spectra lie strictly inside the stable complex half-plane, but the pseudospectra protrude significantly into the unstable half-plane, reflecting the larg...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2013
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/101/34003