scholarly journals MIXTURE THEORIES APPLIED TO SYSTEMS OF RIGID SPHERES

1962 ◽  
Author(s):  
Z Salsburg ◽  
W Fickett
Keyword(s):  
Rigid Spheres ◽  
Mixture Theories

A Mechanism for Non‐Newtonian Flow in Suspensions of Rigid Spheres

1959 ◽  
Vol 3 (1) ◽  
pp. 137-152 ◽  
Author(s):  
Irvin M. Krieger ◽  
Thomas J. Dougherty
Keyword(s):  
Newtonian Flow ◽  
Rigid Spheres

An improved formula for terminal velocity of rigid spheres

1997 ◽  
Vol 50 (1-2) ◽  
pp. 53-61 ◽  
Author(s):  
A.V. Nguyen ◽  
H. Stechemesser ◽  
G. Zobel ◽  
H.J. Schulze
Keyword(s):  
Terminal Velocity ◽  
Rigid Spheres

Sound waves in a periodic medium containing rigid spheres

1987 ◽  
Vol 82 (4) ◽  
pp. 1436-1441 ◽  
Author(s):  
Dov Bai ◽  
Joseph B. Keller
Keyword(s):  
Periodic Medium ◽  
Sound Waves ◽  
Rigid Spheres

Asymmetric three-dimensional Stokes flows about two fused equal spheres

2007 ◽  
Vol 463 (2085) ◽  
pp. 2329-2350 ◽  
Author(s):  
Michael Zabarankin
Keyword(s):  
Meromorphic Functions ◽  
Three Dimensional ◽  
The Body ◽  
Fredholm Integral Equations ◽  
Rigid Spheres ◽  
Riemann Boundary ◽  
Fredholm Equations ◽  
Flow Problems ◽  
Toroidal Coordinates ◽  
Class Of Functions

Exact solutions to three-dimensional Stokes flow problems for asymmetric translation and rotation of two fused rigid spheres of equal size have been obtained in toroidal coordinates. The problems have been reduced to three-contour equations for meromorphic functions from a certain class, and then the latter have been reduced to Fredholm integral equations of the second kind by the Mehler–Fock transform of order 1. For the specified class of functions, the equivalence of the corresponding three-contour and Fredholm equations has been established in the framework of Riemann boundary-value problems for analytic functions. As an illustration for the obtained solutions, the pressure has been calculated at the surface of the body for both problems, and resisting force and torque, experienced by the body in asymmetric translation and rotation, have been computed as functions of a geometrical parameter of the body.

THE ABSORPTION OF HIGH-ENERGY RADIATION, A MONTE CARLO STUDY: II. SPHERICAL GEOMETRY

1963 ◽  
Vol 41 (4) ◽  
pp. 651-663
Author(s):  
N. R. Steenberg
Keyword(s):  
Cross Section ◽  
Spherical Geometry ◽  
Monte Carlo Study ◽  
Nuclear Data ◽  
High Energy ◽  
Rare Gas ◽  
Nuclear Radius ◽  
Rigid Spheres ◽  
High Energy Radiation ◽  
The Individual

The absorption of radiation in a spherical obstacle composed of rigid spheres has been studied. The result is the absorption cross section of such an obstacle as a function of the free cross section and the number A of the individual spheres and of packing density. It is found that the usual rare-gas formula represents the cross section adequately. The analysis is applied to nuclear data for the absorption of 25-Bev/c protons by nuclei. It is found that for a nuclear radius R = r0A1/3 + δ, where δ is the radius of the nucleon, r0 = 1.17 fermi, δ = 1.05 fermi, and an average nucleon transparency a2 = 0.30 is consistent with the data.

Simulation of the Influence of Bonding Materials on the Dynamic Behavior of Laminated Composites

1978 ◽  
Vol 45 (4) ◽  
pp. 822-828 ◽  
Author(s):  
Adnan H. Nayfeh ◽  
Elsayed Abdel-Ati M. Nassar
Keyword(s):  
Wave Propagation ◽  
Dynamic Behavior ◽  
Laminated Composites ◽  
Propagation Process ◽  
Bonding Material ◽  
Mixture Theories

Two model analyses are constructed in order to determine the influence of bonding materials on the dynamic behavior of otherwise bilaminated composites. The geometric arrangement of the composite with the bond is treated as a special type of a trilaminated composite in which each of its major constituents is sandwiched between two bonding layers. In the first model, the recently developed continuum mixture theories of wave propagation in bilaminated composites [2] are extended to treat the trilaminated composite. Here details of the propagation process in the major components and also in the bonding layers are derived. In the second model, the entire effect of the bonds is treated as a modifier to interfacial continuity conditions. In this model the details of the propagation process in the bonding material are ignored. It is found that the results of both models correlate well for relatively thin bonding layers.

Inertial migration of rigid spheres in two-dimensional unidirectional flows

1974 ◽  
Vol 65 (2) ◽  
pp. 365-400 ◽  
Author(s):  
B. P. Ho ◽  
L. G. Leal
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Poiseuille Flow ◽  
Initial Position ◽  
Rigid Sphere ◽  
Simple Shear Flow ◽  
Two Dimensional ◽  
Lateral Migration ◽  
Rigid Spheres ◽  
Inertial Migration

The familiar Segré-Silberberg effect of inertia-induced lateral migration of a neutrally buoyant rigid sphere in a Newtonian fluid is studied theoretically for simple shear flow and for two-dimensional Poiseuille flow. It is shown that the spheres reach a stable lateral equilibrium position independent of the initial position of release. For simple shear flow, this position is midway between the walls, whereas for Poiseuille flow, it is 0·6 of the channel half-width from the centre-line. Particle trajectories are calculated in both cases and compared with available experimental data. Implications for the measurement of the rheological properties of a dilute suspension of spheres are discussed.

The transport properties of dense assemblies of rigid spheres

1958 ◽  
Vol 9 (S1) ◽  
pp. 115-115
Author(s):  
H. C. Longuet-Higgins
Keyword(s):  
Transport Properties ◽  
Rigid Spheres
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