“…Based on the Diffusive Boundary Layer theory (Danckwerts,
1951) with Fick's diffusion law:
where C w is the local instantaneous DO concentration in water (see Figure 1a), the recovery curve of DO concentration under different scenarios can be used to fit the corresponding air‐water surface gas transfer rates, k L , by solving the above first order ordinary differential equation with an assumption that
:
where H is the averaged water depth and C sat is the saturated DO concentration. The above re‐aeration equation was widely used for experimental designs to measure the gas transfer rate, k L , from the re‐aeration process (Leman et al.,
2018; Stenstrom,
2007; Tseng & Tinoco,
2020,
2022).…”