Mathematical modeling of transfer processes and chemical reactions in catalytic membrane reactors
Advancing the chemical engineering fundamentals
Membranes and Membrane Science (T2-8P)
Keywords: mathematical modeling; catalytic; membrane reactor; hydrogen; sulfur-iodine
The aim of this work is investigation of mass transfer processes and chemical reactions proceeding in catalytic membrane reactors (CMR). These reactors are of great interest of chemical engineering since they enable to remove the equilibrium point to the side of forming the target products and enable to intensify the chemical processes. One of the perspective ways of using these reactors is getting hydrogen (for example by means of sulfur-iodine cycle).
As a method of investigation of the above phenomena the method of mathematical modeling was chosen. As the result of this modeling the time-dependent model with distributed parameters describing the processes proceeding inside the CMR was developed. For the forming of this mathematical model the block principle was used concerning the following: model structure of mathematical model, model of mass transfer processes, kinetic model of chemical reactions and the structure of threads. For describing the processes inside the membrane of CMR the assumption that porous medium of the membrane is a nature fractal was used.
Novation of this work consists in the fact that mathematical description of mass transfer processes is based on the usage of differential equations with time-derivative of fractional order. The worked out mathematical model enables to determine (in the assumption of all starting value assignment) concentrations of all the components of the reactions in any place of the reactor at any moment of time.
The above mentioned mathematical model of mass transfer processes and chemical reactions proceeding in catalytic membrane reactors was materialized by means of the worked out program product in order to simplify the processes of working with it and estimation of the results. Solving the equations of the model was carried out by means of the numerical methods of solving the equations of mathematical physics and chemistry based on the use of the diversity schemes. The adequacy of exit data was estimated for the process of propane dehydration.
The worked out program product gives the possibility of exporting the results into the sheets of Microsoft Office Excel by means of using the DDE-technology of the application interaction. The integration of this program product into larger products by means of including the functions, procedures and the whole modules of the program product is also possible.
The exit data of the worked out program product will be useful during the analysis of work of the CMR for the aim of determining for it optimal (concerning the chosen criterion) technological (temperature and pressure inside the CMR) and constructional (length of the apparatus, width of the catalyst layer, width of the mount) values.
The work was carried out under support of grant RFBR № 05-08-18001.
See the full pdf manuscript of the abstract.
Presented Tuesday 18, 13:30 to 15:00, in session Membranes and Membrane Science (T2-8P).
