The system of kinetic equations for a medium of finely dispersed parti
cles in a rarefied gas is solved by the Chapman-Enskog method. The hyd
rodynamic transport equations and expressions for the transport coeffi
cients are obtained. The contribution of the three-body interactions t
o the transport coefficients, determining the first-order corrections
in the density expansion, has been calculated for a model of hard sphe
res. The many-body collision contribution to the dissipative character
istics of the medium is calculated under the condition that the gas-ga
s collisions in the ternary and higher order collision integrals can b
e neglected. We also suggest a system of effective kinetic equations w
hich take into account these effects. (C) 1998 American Institute of P
hysics.