Viscous-convective scalar range
= Viscous-convective scalar range
{title2=$S_C(r)\sim\epsilon_c\sqrt{\nu/\epsilon}\log(r/\eta_B)$}
For scalar diffusivity much smaller than <kinematic viscosity>, a scalar has structure below the <Kolmogorov length scale> while the velocity is smooth. The strain rate $s\sim(\epsilon/\nu)^{1/2}$ transfers scalar variance, giving $dS_C/dr\sim\epsilon_c/(sr)$. Integration produces a logarithm plus an additive matching constant.