Linear-response dielectric theory is used to study the interaction potentia
l between dust grains in a flowing plasma, taking into account the finite s
izes and the asymmetric charge distributions of the grains. This potential
can be divided into two parts: a screened Coulomb potential and a wake pote
ntial. The former is a short-ranged repulsive potential, while the later is
a long-ranged oscillatory potential which acts only on trailing grains. Bo
th the amplitude and wavelength of the wake potential depend on the Mach nu
mber. The grain size and the asymmetric charge distribution may affect the
interaction potential in a significant way when the distances between grain
s are comparable with the grain size, or when the grain size is comparable
with the plasma Debye length.