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Finite-amplitude self-oscillations in a rotating Hagen-poiseuille flow
Fluid Dynamics, 1985The nonlinear stability of a viscous incompressible flow in a circular pipe rotating about its own axis is investigated. The nonlinear evolution of the periodic self-oscillating regimes is studied, and their characteristic stabilization times, amplitudes, and other integral and fluctuational characteristics are found. The secondary instability of these
Gertsenshtein, S. Ya., Nikitin, N. V.
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Hagen-Poiseuille Flow Solutions in Grad-Type Equations
Journal of Statistical Physics, 2011The author considers the Hagen-Poiseuille flow beyond the hydrodynamic regime including boundary conditions which take into account wall properties and non-zero slip velocity using Grad's equations and regularized equations, both in the 13 moment approximation. Analytical results of both approximations are obtained and such results are compared, mainly
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Instability of Hagen-Poiseuille flow for non-axisymmetric mode
Applied Mathematics and Mechanics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, F. M., Stuart, J. T.
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Stability in a two-dimensional hagen-poiseuille resuspension flow
International Journal of Multiphase Flow, 1992Abstract A linear stability analysis of a viscous resuspension flow, which develops from an initially well-mixed suspension flowing along a two-dimensional channel, is described. The analysis is based on a two-fluid model in which the non-uniformity of the particle concentration distribution within the suspended layer is ignored.
K. Zhang, A. Acrivos, U. Schaflinger
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Natural transition frequency of Hagen–Poiseuille flow
The Physics of Fluids, 1979When Hagen–Poiseuille flow is naturally changed from laminar to turbulent, frequencies of pressure fluctuation in the transition region are measured by means of highly sensitive pressure transducers installed at the inner wall of the circular pipe. The frequency of the pressure wave at minimum transition Reynolds number nearly agrees with the frequency
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Experimental evidence of convective and absolute instabilities in rotating Hagen–Poiseuille flow
Journal of Fluid Mechanics, 2013AbstractExperimental results for instabilities present in a rotating Hagen–Poiseuille flow are reported in this study through fluid flow visualization. First, we found a very good agreement between the experimental and the theoretical predictions for the onset of convective hydrodynamic instabilities.
Shrestha, K. +4 more
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Hard excitation of auto-oscillations in a Hagen-Poiseuille flow
Fluid Dynamics, 1984Sufficiently powerful perturbations of the flow of a liquid moving in circular pipes results in turbulence, starting with Reynolds numbers of the order of 2200–2300 [1]. It has been established theoretically [2, 3] that the flow of a viscous incompressible liquid in a pipe of circular section (Hagen-Poiseuille flow) is stable with respect to ...
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Observation of the Turbulent Transition of a Fibre Suspension in Hagen-Poiseuille Flow
Trans. of the XVth Fund. Res. Symp. Cambridge, 2013, 2013The focus of the present work is an experimental study of the transition to turbulent ow of papermaking fibre suspensions in a cylindrical pipe. The suspensions used in this study possess yield stress. With this class of fluid the axial profile in fully developed slow ow is characterized by an unyielded or plug zone.
A. Nikbakht +3 more
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Generalization of Landau's criterion for Hagen–Poiseuille flow instability
Physics of FluidsThe generalization of the Feynman modification of Landau's (1941) superfluid criterion, which gives the Reynolds number threshold condition Re>Reth≈1976 for the energetically favorable creation of small thin vortex rings in the boundary layer of the classical laminar Hagen–Poiseuille (HP) flow, is stated.
Sergey G. Chefranov +1 more
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Transient growth in developing plane and Hagen Poiseuille flow
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005Abstract The stability of developing entry flow in both two-dimensional channels and circular pipes is investigated for large Reynolds numbers. The basic flow is generated by uniform flow entering a channel/pipe, which then provokes the growth of boundary layers on the walls, until (far downstream) fully developed flow is attained ...
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