  In this study, we explore several integral and outer length scales of
turbulence which can be formulated by using the dissipation of temperature
fluctuations ($\chi$) and other relevant variables. Our analyses directly lead
to simple yet non-trivial parameterizations for both $\chi$ and the structure
parameter of temperature ($C_T^2$). For our purposes, we make use of
high-fidelity data from direct numerical simulations of stratified channel
flows.
