  In earlier papers we have studied the turbulent flow exponents $\zeta_p$,
where $\langle|\Delta{\bf v}|^p\rangle\sim\ell^{\zeta_p}$ is the contribution
to the fluid velocity at small scale $\ell$. Using ideas of non-equilibrium
statistical mechanics we have found $$
\zeta_p={p\over3}-{1\over\ln\kappa}\ln\Gamma({p\over3}+1) $$ where $1/ln\kappa$
is experimentally $\approx 0.32\pm 0.01$. The purpose of the present note is to
propose a somewhat more physical derivation of the formula for $\zeta_p$. We
also present an estimate $\approx 100$ for the Reynolds number at the onset of
turbulence.
