Stochastic Models for Chemical Engineering Processes

Stochastic modelling has been developing exponentially in all the domains of scientific research since 1950, when the initial efforts for the particularization of the stochastic theory in some practical domains were carried out. In 1960, James R. Newman, who was one of the first scientists in modern statistical theory, wrote the following about the stochastic theory particularization Currently in the period of dynamic indetermination in science, there is a serious piece of research that, if treated realistically, does not involve operations on stochastic processes [4.8]. 

The stochastic process theory has been a major contribution to the opportune renewal of the basic stochastic theory resulting from some actual requirements 

The practical applications of the stochastic process theory are multiple. This is a consequence of the capacity for this theory for predicting the future of a dynamic system by use of its history and its current state. Among the most famous applications we can note  

The applications of the stochastic theory in chemical engineering have been very large and significant [4.5-4.7, 4.49-4.59, 4.69-4.78]. Generally speaking, we can assert that each chemical engineering operation can be characterized vdth stochastic models. If we observe the property transport equation, we can notice that the convection and diffusion terms practically correspond with the movement and diffusion terms of the Fokker-Plank-Kolmogorov equation (see for instance Section 4.5) [4.79]. 

The following sections describe applications where stochastic models are used for the characterization of some momentum, heat and mass transport examples. 

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Stochastic Models for Chemical Engineering Processes 303 Using a regression analysis, the following dependences have been obtained ... 

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