You must take samples at several times before equilibrium is reached. Analyze the composition quickly and non destructively. Then fit the data to a model. In some systems the analysis is built into the reactor.
I hope your question: "How will i conduct kinematic (rather kinetic) mechanism of a biodiesel reactor" is a shortcut.
The kinetics of the process is investigated rather than the kinetics of the reactor. It is also worth remembering that the form of the kinetic equation (which is the result of kinetic studies) does not depend on the type of reactor used.
Or maybe you want to study the hydrodynamics of reactor - but it's another fairy tale. ???
Biodiesel is a copywrited term that means diesel substitue produced by esterification of vegetable oils ro produce Biodiesel" and Glycerine. Kinetics of biodiesel is not very interesting because it is typically a batch process and there are already several publications like:
The Biodiesel Handbook (Knothe Van Gerpen and Krahl) published in 2005 thoroughly covers just abut anything you need to know about Biodiesel.
UOP has a process called "Green Diesel" which is a mild hydrotreating process to produce a high quality diesel. In my opinion the kinetics of this continuous process are more interesting than the kinetics of esterification.
There should be no difference between the kinetic equations (kinetic equations) obtained base on flow system data and bach system data. However, the way to get it/them is different - easier in bach system.