Table 2 presents comprehensive models for five distinct formulations that incorporate existing model structures as well as their extensions. The nth- and limited nth-order models can be further generalized with an assumption that the parameters n and k are adjustable. The restriction of existing approaches of n as an integer is largely relaxed by defining n instead as a real number in the generic formulations. Further generalization of the nth and limited nth models can be made as the condition of two reactants is introduced; depending upon the scope of implementation of n as a real number into different decay processes, structures of a combined ‘1 + 1’ model, a combined ‘1 + n’ model, and a combined ‘n + n’ model can be developed (see Table 2).
Generic models for chlorine decay in water distribution systems
| Title | Governing equation | Parameters |
|---|---|---|
| nth | ||
| Limited nth | ||
| Combined ‘1 + 1’ | ||
| Combined ‘1 + n’ | ||
| Combined ‘n + n’ |
| Title | Governing equation | Parameters |
|---|---|---|
| nth | ||
| Limited nth | ||
| Combined ‘1 + 1’ | ||
| Combined ‘1 + n’ | ||
| Combined ‘n + n’ |