منابع مشابه
Hydrodynamic stability without eigenvalues.
Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem, but the results of such investigations agree poorly in many cases with experiments. Nevertheless, linear effects play a central role in hydrodynamic ...
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We employ a variety of numerical simulations in the local shearing box system to investigate in greater depth the local hydrodynamic stability of Keplerian differential rotation. In particular we explore the relationship of Keplerian shear to the nonlinear instabilities known to exist in simple Cartesian shear. The Coriolis force is the source of linear stabilization in differential rotation. W...
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A linear stability analysis was carried out for a dilute suspension of rigid spherical particles in cylindrical Couette flow. The perturbation equations for both the continuous fluid phase and the discontinuous particle phase were decomposed into normal modes resulting in an eigenvalue problem that was solved numerically. At a given radius ratio, the theoretical critical Taylor number at which ...
متن کاملThe Hydrodynamic Stability of Inviscid Flow between Coaxial Cylinders.
where R1 and R2 are, respectively, the radii of the inner and the outer cylinders. The presence of viscosity inhibits the onset of instability and condition (3) must be violated by a certain determinate extent before instability can arise. The extent of this inhibition has been considered by a number of authors since G. I. Taylor first investigated the problem.1 The equations of viscous flow al...
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Linear and nonlinear issues in the problem of the subcritical transition to turbulence are examined on the basis of a full phase-space analysis of a simplified model that mimics hydrodynanJics governed by the Navier-Stokes equations. The simplicity of the model, which involves only two variables and displays both non-normal linear terms and
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 1982
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.3162197