Simple shearing flow of three‐dimensional foams and highly concentrated emulsions with planar films

1993 ◽  
Vol 37 (6) ◽  
pp. 1117-1139 ◽  
Author(s):  
Douglas A. Reinelt
Keyword(s):  
Three Dimensional ◽  
Simple Shearing ◽  
Shearing Flow ◽  
Planar Films ◽  
Concentrated Emulsions

The anisotropy of simple shearing flow

1973 ◽  
Vol 12 (1) ◽  
pp. 25-34 ◽  
Author(s):  
J. L. S. Wales ◽  
W. Philippoff
Keyword(s):  
Simple Shearing ◽  
Shearing Flow

Void growth in shear

1986 ◽  
Vol 407 (1833) ◽  
pp. 435-458 ◽  
Keyword(s):  
Growth Rate ◽  
Strain Rate ◽  
Void Growth ◽  
Three Dimensional ◽  
Shape Evolution ◽  
Two Dimensional ◽  
Simple Shearing ◽  
Hydrostatic Tension ◽  
Dilatation Rate ◽  
Approximate Formulas

The growth of an isolated void is analysed for a void contained in a block of material undergoing simple shearing combined with superimposed hydrostatic tension. The evolution of the size, shape and orientation of two- and three-dimensional voids in an incompressible, linearly viscous solid is first discussed. The main problem addressed is the behaviour of a two-dimensional cylindrical void in an incompressible, nonlinearly viscous solid for which the strain rate varies as the stress to a power. The growth rate of the void and its shape evolution are strong functions of the degree of material nonlinearity. Relatively simple approximate formulas are obtained for the dilatation rate of a circular void as well as for the void potential. The constitutive relation of a block of material containing a dilute distribution of circular cylindrical voids is obtained directly using the isolated void potential. The paper concludes with a summary of available results for the dilatation rates of voids and cracks under combinations of shear and hydrostatic tension.

SIMPLE SHEARING FLOW OF A 3D FOAM

1992 ◽  
pp. 675-677
Author(s):  
Andrew M. Kraynik ◽  
Douglas A. Reinelt
Keyword(s):  
Simple Shearing ◽  
Shearing Flow

Simple shearing flow of dry soap foams with tetrahedrally close-packed structure

2000 ◽  
Vol 44 (3) ◽  
pp. 453-471 ◽  
Author(s):  
Douglas A. Reinelt ◽  
Andrew M. Kraynik
Keyword(s):  
Simple Shearing ◽  
Shearing Flow ◽  
Close Packed Structure ◽  
Packed Structure

A Method for the Measurement of Normal Stresses in Simple Shearing Flow

1961 ◽  
Vol 5 (1) ◽  
pp. 133-147 ◽  
Author(s):  
A. B. Metzner ◽  
W. T. Houghton ◽  
R. A. Sailor ◽  
J. L. White
Keyword(s):  
Normal Stresses ◽  
Simple Shearing ◽  
Shearing Flow

Transverse shear-induced gradient diffusion in a dilute suspension of spheres

1998 ◽  
Vol 357 ◽  
pp. 279-287 ◽  
Author(s):  
Y. WANG ◽  
R. MAURI ◽  
A. ACRIVOS
Keyword(s):  
Three Dimensional ◽  
Spherical Particles ◽  
Particle Interactions ◽  
Simple Shearing ◽  
Ambient Flow ◽  
Gradient Diffusion ◽  
Areal Fraction ◽  
Dilute Suspension ◽  
Neutrally Buoyant ◽  
Shearing Motion

We study the shear-induced gradient diffusion of particles in an inhomogeneous dilute suspension of neutrally buoyant spherical particles undergoing a simple shearing motion, with all inertia and Brownian motion effects assumed negligible. An expansion is derived for the flux of particles due to a concentration gradient along the directions perpendicular to the ambient flow. This expression involves the average velocity of the particles, which in turn is expressed as an integral over contributions from all possible configurations. The integral is divergent when expressed in terms of three-particle interactions and must be renormalized. For the monolayer case, such a renormalization is achieved by imposing the condition of zero total macroscopic flux in the transverse direction whereas, for the three-dimensional case, the additional constraint of zero total macroscopic pressure gradient is required. Following the scheme of Wang, Mauri & Acrivos (1996), the renormalized integral is evaluated numerically for the case of a monolayer of particles, giving for the gradient diffusion coefficient 0.077γa2c¯2, where is the applied shear rate, a the radius of the spheres and c¯ their areal fraction.

Simple shearing flow of a dry Kelvin soap foam

1996 ◽  
Vol 311 (-1) ◽  
pp. 327 ◽  
Author(s):  
Douglas A. Reinelt ◽  
Andrew M. Kraynik
Keyword(s):  
Simple Shearing ◽  
Shearing Flow
Sign in / Sign up

Export Citation Format

Share Document