ISSN:0022-2526    

DOI:10.1002/sapm197352287

年代:1973

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm197352297

年代:1973

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1973522103

年代:1973

数据来源: WILEY

摘要:

Dilute suspensions of small spheres in a viscous fluid are examined for the three cases of: I, a regular periodic array; II, a random array of freely moving particles; and III a random array in which the particles are held rigidly. It is known that the difference between average force and average velocity for a particle is a different function of concentration for the three cases. A unified analytical treatment is given for the point particle approximation, which explains the different qualitative dependence on concentration. It is shown that the differences between I and II are kinematical in nature, depending entirely on the difference between the geometries of regular and random arrays. The different result for case III is due to the shielding effect of a dilute suspension when the velocities, but not the forces, of the particles are fixed.

ISSN:0022-2526    

DOI:10.1002/sapm1973522115

年代:1973

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1973522129

年代:1973

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1973522141

年代:1973

数据来源: WILEY

摘要:

This paper develops an efficient method for finding the optimal solution to linear mathematical programs on 0–1 variables.It is shown that the lattice (0–1) points satisfying some linear constraint of dimension n can equally be represented by those lying in a hypersphere of the same dimension.The lattice points satisfying two linear constraints can be represented by a hypersphere which contains the intersection of the hyperspheres of the two constraints.The method for finding the optimal solution consists of enumerating lattice points which are close to the center of the hypersphere corresponding to the constraints. As soon as a better value of the objective function has been found, than some lower bound, we find a new hypersphere which contains the lattice points of the constraints at which the objective function remains higher than the best known value. We continue in this manner until we have at some stage enumerated all lattice points within a given hypersphere and found none which give a better va

ISSN:0022-2526    

DOI:10.1002/sapm1973522153

年代:1973

数据来源: WILEY

摘要:

The Ising chain with random magnetic moments is discussed, and the thermodynamic functions are computed.

ISSN:0022-2526    

DOI:10.1002/sapm1973522163

年代:1973

数据来源: WILEY

摘要:

The interaction of like colloidal particles separated by electrolyte is the resultant of the attractive Vander Waals force and the repulsive electrostatic forces, screened by the non‐uniform electrolyte. Hitherto, these contributions have been estimated separately. In this paper, the coupling of the low frequency electromagnetic fluctuations to the static charge distribution between two planes is examined. This coupling is expressed by a pair of second order coupled differential equations, which are solved exactly. The resulting eigenvalue equation is derived and the zero frequency contribution to the Vander Waals free energy calculate

ISSN:0022-2526    

DOI:10.1002/sapm1973522175

年代:1973

数据来源: WILEY