David J. Jeffrey

TL;DR: A new discussion of the complex branches of W, an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containing W are presented.

TL;DR: In this paper, the authors studied the flow of an idealized granular material consisting of uniform smooth, but nelastic, spherical particles using statistical methods analogous to those used in the kinetic theory of gases.

TL;DR: Two unequal rigid spheres are immersed in unbounded fluid and are acted on by externally applied forces and couples, which can be described by a set of linear relations between, on the one hand, the forces and spouses exerted by the spheres on the fluid and the translational and rotational velocities of the spheres.

TL;DR: In this paper, the conduction of heat through a stationary random suspension of spheres is studied for a volume fraction of the spheres (c) which is small, and the work of Maxwell (1873) is extended to calculate the flux of heat exactly to order c 2 by using the method of Batchelor (1972), which reduces the problem to a consideration of interactions between pairs of spheres while avoiding the usual convergence difficulties.

TL;DR: Experimental and theoretical work on the rheological properties of suspensions is reviewed in this paper, with particular emphasis placed on the nature of the approximations made, so that purely empirical formulas can be clearly separated from those having a theoretical basis.