  The normalized non-dimensional von K\'arm\'an-Howarth equation for isotropic
homogeneous decaying and forced steady turbulence is integrated to obtain
expressions for the dissipation rate coefficient $C_{\epsilon}=(L \epsilon)/<
u^2 >^{3/2}$, where $L$ denotes the longitudinal integral length scale,
$\epsilon$ the mean dissipation rate and $< u^2 >$ the mean variance of the
longitudinal velocity fluctuations. For decaying turbulence the final exact
expressions for $C_{\epsilon}$ for the low and high Reynolds number limit
depend on the decay exponent $n$, which is known to depend on the initial
velocity structure at the turbulence production. The dependence on $n$ leads to
a non-universal coefficient. The expressions for the steady forced case depend
on the forcing mechanism and thus are not universal either. Nonetheless, a
lower value and considerably less scatter as compared to the decaying
turbulence case should be expected when similiar forcing algorithms are
employed.
