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
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 \[ \frac{{\rm
l}}{i}\frac{\partial \psi}{\partial t} = \frac{\partial^2\psi}{\partial
s^2}+{\textstyle\frac{1}{2}}(|\psi|^2+A)\psi, \] where t is the time, s the
length measured along the f...
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
Transition to time-dependent convection
Journal of Fluid Mechanics - Tập 65 Số 4 - Trang 625-645 - 1974
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 for Pran...
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
Energy growth in viscous channel flows
Journal of Fluid Mechanics - Tập 252 - Trang 209-238 - 1993
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 non-normality of the governing
linea...
Bounds for threshold amplitudes in subcritical shear flows
Journal of Fluid Mechanics - Tập 270 - Trang 175-198 - 1994
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 the squ...
Rotation of spheroidal particles in Couette flows
Journal of Fluid Mechanics - Tập 692 - Trang 369-394 - 2012
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 n...
Shear instability and coherent structures in shallow flow adjacent to a porous layer
Journal of Fluid Mechanics - Tập 593 - Trang 1-32 - 2007
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 size.
The...
Structure of the Reynolds stress near the wall
Journal of Fluid Mechanics - Tập 55 Số 1 - Trang 65-92 - 1972
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 to determine when
the productuvis s...
Structure of bubble plumes in linearly stratified environments
Journal of Fluid Mechanics - Tập 249 Số -1 - Trang 35 - 1993
Tổng số: 636
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