At the core of chemical engineering, process design is fundamental to reach a goal of productivity. Axial dispersion is one of the key phenomena that can affect productivity. Therefore, its characterization is necessary for adequate modeling and designing devices. Applications of the transfer function (TF) to the derivation of a high precision model of tracer flow and, next, determination of an axial dispersion coefficient in a commercial measurement system are presented. A TF concept makes easier customization of model ideas to different systems and consequently allows for obtaining a model that matches in the best way a physical system. The method takes advantage of the efficient numerical algorithm by den Iseger, that is; inverse Laplace transform to solve the model both at the stage of model development (boundary value problem) and model application (inverse boundary value problem). As a result, a very precise model of commercial measurement instrument was developed and, next, it was employed to the determination of axial dispersion coefficients for an empty tube and packed bed. The method presented is precise in a wide range of operating conditions. The paper shows that mathematical modeling can be exploited to enhance measurements for a commercial measurement instrument, that is, unlock the system's full potential with no equipment design changes. The method is also a good alternative to computational fluid dynamics for high precision calculations—it fits experimental results better than a CFD model.