An experimental study of the contact of a falling sphere with a neutra
lly buoyant sphere in a viscous fluid is described. The experiments us
ed a mixture of polyalklene glycol and tetrabromoethane as the Newtoni
an fluid, together with a pair of equal-sized Teflon(R) and nylon sphe
res of 6.355 mm diameter. The spheres have microscopic surface roughne
ss, which allows them to make physical contact when in close approach.
This contact breaks the symmetry of the relative trajectory of the tw
o spheres and affects the rate at which the heavy sphere moves past th
e neutrally buoyant one. The experimental observations verify the roll
/slip model of Davis [Phys. Fluids A 4, 2607 (1992)] for the interacti
on of the two spheres in contact. This model assumes that contact prev
ents the nominal surfaces from approaching closer than a minimum separ
ation equal to the effective roughness height, and that the tangential
component of the contact force is described by solid friction theory.
A friction coefficient of 0.28 +/- 0.02 provides the best agreement b
etween theory and experiment, with some variation observed when the ex
periments were repeated for the same and different pairs of spheres. (
C) 1996 American Institute of Physics.