Journal of Fluid Mechanics

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A soliton on a vortex filament
Journal of Fluid Mechanics - Tập 51 Số 3 - Trang 477-485 - 1972
Hidenori Hasimoto
The intrinsic equation governing the curvature K and the torsion τ of an isolated very thin vortex filament without stretching in an incompressible inviscid fluid is reduced to a non-linear Schrödinger equation \[ \frac{{\rm l}}{i}\frac{\partial \psi}{\partial t} = \frac{\partial^2\psi}{\partial s^2}+{\textstyle\frac...... hiện toàn bộ
Buoyant inhibition of Ekman transport on a slope and its effect on stratified spin-up
Journal of Fluid Mechanics - Tập 223 Số -1 - Trang 631 - 1991
Parker MacCready, Peter B. Rhines
Transition to time-dependent convection
Journal of Fluid Mechanics - Tập 65 Số 4 - Trang 625-645 - 1974
R. M. Clever, F. H. Busse
Steady solutions in the form of two-dimensional rolls are obtained for convection in a horizontal layer of fluid heated from below as a function of the Rayleigh and Prandtl numbers. Rigid boundaries of infinite heat conductivity are assumed. The stability of the two-dimensional rolls with respect to three-dimensional disturbances is analysed. It is found that convection rolls are unstable ...... hiện toàn bộ
The forces on sharp-edged cylinders in oscillatory flow at low Keulegan–Carpenter numbers
Journal of Fluid Mechanics - Tập 97 Số 02 - Trang 331 - 1980
John M. Graham
Energy growth in viscous channel flows
Journal of Fluid Mechanics - Tập 252 - Trang 209-238 - 1993
K. F. Schertz, Dan S. Henningson
In recent work it has been shown that there can be substantial transient growth in the energy of small perturbations to plane Poiseuille and Couette flows if the Reynolds number is below the critical value predicted by linear stability analysis. This growth, which may be as large as O(1000), occurs in the absence of nonlinear effects and can be explained by the n...... hiện toàn bộ
Bounds for threshold amplitudes in subcritical shear flows
Journal of Fluid Mechanics - Tập 270 - Trang 175-198 - 1994
Gunilla Kreiss, Anders Lundbladh, Dan S. Henningson
A general theory which can be used to derive bounds on solutions to the Navier-Stokes equations is presented. The behaviour of the resolvent of the linear operator in the unstable half-plane is used to bound the energy growth of the full nonlinear problem. Plane Couette flow is used as an example. The norm of the resolvent in plane Couette flow in the unstable half-plane is proportional to...... hiện toàn bộ
Rotation of spheroidal particles in Couette flows
Journal of Fluid Mechanics - Tập 692 - Trang 369-394 - 2012
Haibo Huang, Xin Yang, Manfred Krafczyk, Xi‐Yun Lu
AbstractThe rotation of a neutrally buoyant spheroidal particle in a Couette flow is studied by a multi-relaxation-time (MRT) lattice Boltzmann method. We find several new periodic and steady rotation modes for a prolate spheroid for Reynolds numbers ($\mathit{Re}$) exceeding 305. The simulations cover the regime up to $\mathit{Re}\leq 700$. The rotational behaviour of the spheroid appears to be not only sensitive to the Reynolds number but also to its initial orientation. We discuss the effects of initial orientation in detail. For $305\lt \mathit{Re}\lt 345$ we find that the prolate spheroid reaches a periodic mode characterized by precession and nutation around an inclined axis which is located close to the middle plane where the velocity is zero. For $345\lt \mathit{Re}\lt 385$, the prolate spheroid precesses around the vorticity direction with a nutation. For $\mathit{Re}$ close to the critical ${\mathit{Re}}_{c} \approx 345$, a period-doubling phenomenon is observed. We also identify a motionless mode at higher Reynolds numbers ($\mathit{Re}\gt 445$) for the prolate spheroid. For the oblate spheroid the dynamic equilibrium modes found are log rolling, inclined rolling and different steady states for $\mathit{Re}$ increasing from 0 to 520. The initial-orientation effects are studied by simulations of 57 evenly distributed initial orientations for each $\mathit{Re}$ investigated. Only one mode is found for the prolate spheroid for $\mathit{Re}\lt 120$ and $385\lt \mathit{Re}\lt 445$. In other hiện toàn bộ
Shear instability and coherent structures in shallow flow adjacent to a porous layer
Journal of Fluid Mechanics - Tập 593 - Trang 1-32 - 2007
Brian White, Heidi Nepf
Results are presented from an experimental study of shallow flow in a channel partially obstructed by an array of circular cylinders. The cylinder array is a model for emergent vegetation in an open channel, but also represents a simple sparse porous medium. A shear layer with regular vortex structures forms at the edge of the array, evolving downstream to an equilibrium width and vortex s...... hiện toàn bộ
Structure of the Reynolds stress near the wall
Journal of Fluid Mechanics - Tập 55 Số 1 - Trang 65-92 - 1972
William W. Willmarth, S. S. Lu
Experimental studies of the flow field near the wall in a turbulent boundary layer using hot-wire probes are reported. Measurements of the productuvare studied using the technique of conditional sampling with a large digital computer to single out special events (bursting) when large contributions to turbulent energy and Reynolds stress occur. The criterion used ...... hiện toàn bộ
Structure of bubble plumes in linearly stratified environments
Journal of Fluid Mechanics - Tập 249 Số -1 - Trang 35 - 1993
Takashi Asaeda, Jörg Imberger
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