Extensive experimentation on a simulated fouling test facility showed that cooling water initially fouled quite rapidly but ultimately the rate of fouling diminished to some constant
asymptotic values. Frequently it was observed that an induction period existed before the formation of any deposit
and an implicit solution of the Kern-Seaton equation could thus not be obtained satisfactorily by the trial-and-error method. Based on a large set of data
a new model was postulated to show the above mechanism of fouling: This exponential model involves an induction period
and linearized regression could be used to solve for the parameters Rf and A. Results of regression analysis of 60 runs with a TI-59 programmable calculator indicated that most correlation coefficients for the new model were greater than 0.9. With this new equation
the asymptotic fouling resistance could be estimated directly from experimental data.