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Physics of Fluids, 1965
Consideration is given to the conditions marking the onset of instability for flow that is induced between concentric cylinders by simultaneous rotation of the cylinders and an imposed tangential pressure gradient. Critical Taylor numbers and corresponding disturbance wavenumbers have been determined by an analytical method that is applicable for ...
Lin S H, Sparrow E M
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Consideration is given to the conditions marking the onset of instability for flow that is induced between concentric cylinders by simultaneous rotation of the cylinders and an imposed tangential pressure gradient. Critical Taylor numbers and corresponding disturbance wavenumbers have been determined by an analytical method that is applicable for ...
Lin S H, Sparrow E M
exaly +3 more sources
Hydrodynamic stability of a rotating liner
The Physics of Fluids, 1974The Rayleigh-Taylor instability is investigated for a nonsteady basic state. A model of a magnetically imploded cylindrical metallic liner compressing an axial magnetic field is constructed and used as the basis of a linear stability analysis. The liner, idealized to be without energy loss mechanisms, can be given an initial rotation about its axis ...
Barcilon, A., Book, D. L., Cooper, A. L.
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The hydrodynamic stability of helium ll between rotating cylinders. I
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957Abstract The hydrodynamic instability of helium ll between rotating cylinders is investigated on two assumptions regarding the mutual friction force, F, between the normal and the superfluid components of the liquid. On both assumptions F is proportional to the constant vorticity which prevails in the stationary state and to the ...
Chandrasekhar, S., Donnelly, R. J.
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The flow and hydrodynamic stability of a liquid film on a rotating disc
Fluid Dynamics Research, 2009Summary: The flow of a liquid film on a rotating disc is investigated in the case where a liquid is supplied at a constant flow rate. We propose thin film equations by the integral method with a simple approach to satisfy the boundary conditions on a disc and a free surface, and the results are compared with those of the Navier-Stokes equations.
Kim, TS Kim, Tae-Sung +1 more
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Nonlinear hydrodynamic stability of some simple rotational flows
Il Nuovo Cimento B, 1982A theorem due to Arnold about the nonlinear stability of steady plane curvilinear flows of an inviscid fluid is applied to a new class of loop and bend flows recently obtained by Shercliff. The stability (in the Lyapunov sense) of some of these flows is thus proved.
PIERINI, Stefano, SALUSTI E.
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Stability Analysis of a Hydrodynamic Journal Bearing With Rotating Herringbone Grooves
Journal of Tribology, 2003This paper presents an analytical method to investigate the stability of a hydrodynamic journal bearing with rotating herringbone grooves. The dynamic coefficients of the hydrodynamic journal bearing are calculated using the FEM and the perturbation method. The linear equations of motion can be represented as a parametrically excited system because the
G. H. Jang, J. W. Yoon
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On the analogy between thermal and rotational hydrodynamic stability
Journal of Fluid Mechanics, 1966The correspondence between the eigenvalues for the problem of the onset of convection in a fluid confined between two horizontal plates and for the stability of viscous flow between two cylinders rotating at almost the same angular velocity has been known for some time.
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Hydrodynamic stability of a fluid layer flowing down a rotating inclined plane
Physics of Fluids A: Fluid Dynamics, 1992The linear stability of a fluid layer flowing down a rotating inclined plane is investigated. The analysis leads to a system of two coupled ordinary differential equations that generalizes the well-known Orr–Sommerfeld equation. These coupled equations are solved by means of two approximations: the small wave-number approximation and the small Reynolds
Dávalos-Orozco, L. A. +1 more
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The hydrodynamic stability of helium ll between rotating cylinders. II
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957Abstract The characteristic value problems (Chandrasekhar & Donnelly 1957), to which a study of the hydrodynamic stability of helium ll between rotating cylinders leads one, are solved here correctly with respect to the boundary conditions which have to be satisfied.
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Acta Astronautica, 1986
Abstract This paper presents the theoretical and experimental investigation of a shear viscous flow in a spherical layer due to coaxial rotation of boundary spheres. This study aims at understanding some general laws of global motions in planetary atmosphere.
I.M. Yavorskaya, Yu.N. Belyaev
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Abstract This paper presents the theoretical and experimental investigation of a shear viscous flow in a spherical layer due to coaxial rotation of boundary spheres. This study aims at understanding some general laws of global motions in planetary atmosphere.
I.M. Yavorskaya, Yu.N. Belyaev
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