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Stability of Pipe Poiseuille Flow
The Physics of Fluids, 1968The stability of pipe Poiseuille flow with respect to linear azimuthally periodic disturbances is investigated. It is found that many radial modes of disturbance exist for each azimuthal periodicity. No linear instability is found for the mode sets with azimuthal periodicity of one.
Lessen, M., Sadler, S. G., Liu, T.-Y.
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Interaction of peristaltic motion with Poiseuille flow
Bulletin of Mathematical Biology, 1974The effect of Poiseuille flow on peristaltic transport has been investigated in a two-dimensional mathematical model of peristalsis for the case when the wall of the channel executes a sinusoidal motion of small amplitude. Closed-form solutions have been obtained for limiting values of Reynolds number and the Poiseuille flow parameter, while the method
Mittra, T. K., Prasad, S. N.
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The Stability of Plane Poiseuille Flow
Physical Review, 1952The problem of the stability of plane Poiseuille flow to small disturbances leads to a characteristic value problem for the Orr-Sommerfeld equation with given boundary conditions. It happens that negative values of the imaginary parts of the characteristic numbers, which indicate instability, are small, at any rate over the region here investigated ...
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Generation of umbilics by Poiseuille flows
The European Physical Journal E, 2014The Fredericks transition in homeotropic nematic layers submitted to an electric field can be described in terms of a 2D vectorial order parameter [Formula: see text]. We have shown previously that umbilics which are point defects of the field [Formula: see text] can be generated in a controlled manner by magnetic fields.
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Poiseuille flow of a Quincke suspension
Physical Review E, 2014The controversy of models of dielectric particle suspensions with antisymmetric stress, which predict a nonphysical cusp of the velocity profile in plane Poiseuille flow under the action of the electrical field, is resolved. In the mean-field approximation, the nonlinear kinetic equation is derived for coupled due to the flow translational and ...
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Asymptotic approach to hartmann-poiseuille flows
Journal of Computational Physics, 1969Abstract The steady state flow is considered of a viscous conducting liquid in the inlet region of a straight channel with or without a transverse magnetic field, particularly the rate of approach of the flow to the Hartmann-Poiseuille patterns downstream.
Brandt, A., Gillis, J.
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Stability of Poiseuille Flow in Elastic Tubes
Journal of Applied Mechanics, 1977This paper presents a theoretical analysis of the temporal and spatial stability of Poiseuille flow in elastic tubes to infinitesimal axisymmetric disturbances. A cylindrical shell model which includes the effects of transverse shear and rotatory inertia is employed for the tube wall.
Midvidy, W., Rouleau, W. T.
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Inertial migration of a sphere in Poiseuille flow
Journal of Fluid Mechanics, 1989The inertial migration of a small sphere in a Poiseuille flow is calculated for the case when the channel Reynolds number is of order unity. The equilibrium position is found to move towards the wall as the Reynolds number increases. The migration velocity is found to increase more slowly than quadratically.
Schonberg, Jeffrey A., Hinch, E. J.
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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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The development of Poiseuille flow
Journal of Fluid Mechanics, 1969The problem considered is that of two-dimensional viscous flow in a straight channel. The steady Navier-Stokes equations are linearized on the assumption of small disturbance from the fully developed flow, leading to an eigenvalue equation resembling the Orr-Sommerfeld equation.
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