Membrane reactors are a promising alternative to carry out reactions in which the selectivity can be enhanced by the controlled addition of reactants. In addition, it also is very important to keep the temperature profile within a favorable range. In this work a new configuration is proposed for a membrane reactor with internal heat transfer sources. The configuration is similar to that of a shell and tube heat exchanger with the differences that the shell side is packed with catalyst and some of the tubes are membranes. Although the model assumes plug flow, it considers changes in the superficial velocities due to temperature profiles and variations of the molar flow rates. This geometry requires three-dimensional considerations; however, the solution took advantage of a pseudo-three-dimensional model. Controlled addition of reactant through the membrane not only reduces the effect of the side reactions but also alleviates the hot spots since the rates of reactions are decreased.