Resolution of an Initial Shear-Flow Discontinuity in One-Dimensional Hydromagnetic Flow.

1958 ◽  
Vol 128 ◽  
pp. 686 ◽  
Author(s):  
J. Bazer
Keyword(s):  
Shear Flow ◽  
Hydromagnetic Flow ◽  
One Dimensional

Nematic-Smectic a Phase-Transition Under Shear Flow

1989 ◽  
Vol 177 ◽  
Author(s):  
R. F. Bruinsma ◽  
C. R. Safinya
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Shear Flow ◽  
Structure Factor ◽  
Deborah Number ◽  
Flow Properties ◽  
Newtonian Flow ◽  
One Dimensional ◽  
Smectic A ◽  
Smectic A Phase

ABSTRACTWe discuss the effect of shear flow on the nematic to smectic A phase transition. The non-Newtonian flow properties (shear thinning and normal stress) ire correlated with the distortions of the structure-factor S(q). As a function of the Deborah number, we find first a deformation of S(q) and, beyond a critical Deborah number, highly distorted, one-dimensional fluctuations. The suppression of fluctuations by shear flow raises the critical temperature.

Particle motion near and inside an interface

2007 ◽  
Vol 575 ◽  
pp. 333-357 ◽  
Author(s):  
C. POZRIKIDIS
Keyword(s):  
Shear Flow ◽  
Spherical Particle ◽  
Simple Shear ◽  
Suspended Particle ◽  
Rotational Symmetry ◽  
Simple Shear Flow ◽  
One Dimensional ◽  
Angular Velocities ◽  
Freely Suspended ◽  
Dimensional Integral

The motion of a spherical particle near the interface between two immiscible viscous fluids undergoing simple shear flow is considered in the limit of small Reynolds and capillary numbers where the interface exhibits negligible deformation. Taking advantage of the rotational symmetry of the boundaries of the flow with respect to the axis that is normal to the interface and passes through the particle centre, the problem is formulated as a system of one-dimensional integral equations for the first Fourier coefficients of the unknown components of the traction and velocity along the particle and interface contours. The results document the particle translational and angular velocities, and reveal that the particle slips while rolling over the interface under the influence of a simple shear flow, for any viscosity ratio. In the second part of the investigation, the motion of an axisymmetric particle straddling a planar interface is considered. The results confirm a simple exact solution when a particle with top-down symmetry is immersed half-way in each fluid and translates parallel to the interface, reveal a similar simple solution for a particle that is held stationary in simple shear flow, and document the force and torque exerted on a spherical particle for more general arrangements. The onset of a non-integrable singularity of the traction at the contact line prohibits the computation of the translational and angular velocities of a freely suspended particle convected under the action of a shear flow.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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