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 contributionto the fluid velocity at small scale $\ell$. Using ideas of non-equilibriumstatistical 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 topropose a somewhat more physical derivation of the formula for $\zeta_p$. Wealso present an estimate $\approx 100$ for the Reynolds number at the onset ofturbulence.
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