Evaluation of substrate uptake by microbial film in a gel-like medium

Mathematical model was developed to demonstrates the predominantly reaction controlled region and diffusion limited region for ？p > 3 with high or large diffusion in this case, but when ？p = 0.3 the chemical reaction and diffusion onset occurred. The model developed illustrates the relationship between K* and N/Nmax for various incremental steps of K2 L. The result obtained reveals that increase in K3C* resulted to an increase in N/ Nmax until an optimum value of N/Nmax was achieved after then the values remain constant with incremental value on K3C*. The Kinetics of substrate is dependent of K3C* as well as K2L values of the system, which in overall influence the substrate uptake by microbial film in gel- like medium.