  We examine the steady-state spherically symmetric accretion of relativistic
fluids, with a polytropic equation of state, onto a higher dimensional
Schwarzschild black hole. The mass accretion rate, critical radius, and flow
parameters are determined and compared with results obtained in standard four
dimensions. The accretion rate, $\dot{M}$, is an explicit function of the black
hole mass, $M$, as well as the gas boundary conditions and the dimensionality,
$D$, of the spacetime. We also find the asymptotic compression ratios and
temperature profiles below the accretion radius and at the event horizon. This
analysis is a generalization of Michel's solution to higher dimensions and of
the Newtonian expressions of Giddings and Mangano which considers the accretion
of TeV black holes.
