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Nonlinear Growth (and Breakdown) of Disturbances in Developing Hagen Poiseuille Flow
Physics of Fluids, 2006The effect of imposing disturbances on developing Hagen Poiseuille flow is investigated for large Reynolds numbers. A formal large Reynolds number analysis is used throughout, which leads to a parabolic approximation (to the Navier-Stokes equations). In this inlet region [which is long O(Reynoldsnumber)×pipe radius], assuming uniform/near uniform inlet
Peter Duck
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The Stability of Oscillatory Hagen-Poiseuille Flow
Journal of Applied Mechanics, 1986The linear stability theory of the nonzero mean, sinusoidally oscillating flow in a tube of circular cross section is examined. It is found that the relevant axisymmetric disturbances in the oscillatory flow are more stable (i.e., have larger decay rates) than the axisymmetric disturbances of the mean flow alone.
Tozzi, J. T., von Kerczek, C. H.
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Upstream Diffusion in Hagen-Poiseuille Flow
The Physics of Fluids, 1961A theoretical study is described for steady state diffusion of a contaminant from a large reservoir of static fluid into a cylindrical tube discharging fluid into the reservoir. Contaminant decay is considered. Numerical results are presented for the rate of decrease along the tube of the concentration of contaminant for Reynolds × Schmidt numbers &
Passell, T. O., Perry, C. L.
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The Hagen–Poiseuille linear flow instability
Doklady Physics, 2015In this study, it is shown that the linear instability of the Hagen–Poiseuille (HP) flow for the finite Reynolds numbers Re > Reth is nevertheless possible but only under the condition of refusal to use the traditional “normal” form of disturbances.
Chefranov, S. G., Chefranov, A. G.
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Instability of hagen-poiseuille flow for axisymmetric mode
Applied Mathematics and Mechanics, 1987An investigation is described for the instability problem of flow through a pipe of circular cross section. As a disturbance motion, we consider an axisymmetric nonlinear mode. An associated amplitude or modulation equation has been derived for this perturbation. This equation belongs to the diffusion type.
Wang, F. M., Stuart, J. T.
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Eigenvalue Sensitivity to Base Flow Variations in Hagen-Poiseuille Flow
Volume 1: Fora, Parts A and B, 2002Transition in a cylindrical pipe flow still eludes thorough understanding. Most recent advances are based on the concept of transient growth of disturbances, but even this scenario is not fully confirmed by DNS and/or experiments. Based on the fact that even the most carefully conducted experiment is biased by uncertainties, we explore the spatial ...
Gavarini I. M. +2 more
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Optimal energy density growth in Hagen–Poiseuille flow
Journal of Fluid Mechanics, 1994Linear stability of incompressible flow in a circular pipe is considered. Use is made of a vector function formulation involving the radial velocity and radial vorticity only. Asymptotic as well as transient stability are investigated using eigenvalues and ε-pseudoeigenvalues, respectively.
Schmid, Peter J., Henningson, Dan S.
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Analysis of Hagen-Poiseuille flow using SPH
KSME International Journal, 2002This paper shows how to formulate the transient analysis of 2-dimensional Hagen-Poiseuille flow using smoothed particle hydrodynamics (SPH). Treatments of viscosity, particle approximation and boundary conditions are explained. Numerical tests are calculated to examine effects caused by the number of particles, the number of particles per smoothing ...
Moon Wonjoo, You Sukbeom, Min Oakkey
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Experimental Investigation of the Stability of Hagen-Poiseuille Flow
The Physics of Fluids, 1968The stability of pipe Poiseuille flow to azimuthally periodic disturbances is examined experimentally. The disturbance is generated in the fully developed flow region to avoid extraneous effects of possible entrance flow instability. A Reynolds number spectrum to above 3200 was covered with a frequency range from 13 to 1 kc/sec.
John A. Fox +2 more
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Linear stability of rotating Hagen-Poiseuille flow
Journal of Fluid Mechanics, 1981Linear stability of rotating Hagen-Poiseuille flow has been investigated by an orthonormal expansion technique, confirming results by Pedley and Mackrodt and extending those results to higher values of the wavenumber |α|, the Reynolds number R, and the azimuthal index n.
Cotton, Fredrick W., Salwen, Harold
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