3.3 Performances parameters

Performances parameters and the calculation equations used in this modeling study were listed in Table 2S (see Supporting Information). Typically, C₅₊ space-time yield (\(\text{STY}_{C_{5+}}\)) in FTS is a key factor, because it is a combination of catalyst apparent activity and selectivity. Therefore, in the following discussion, \(\text{STY}_{C_{5+}}\) is used as the evaluation criteria for catalyst reaction-diffusion performances.

3.4 Method of solution

The second-order ordinary differential equation, Eq. (5), was first written as two first-order ordinary differential equations, for each component. The obtained system of first-order ordinary differential equations with the boundary conditions specified at two points was then solved by finite different method. The integral terms in performance parameters listed in Table 2S were calculated using trapezoidal rule based on the concentration profiles calculated within the pellet.