A mathematical model is presented to simulate the performance of a non-isothermal inert membran e reactor with catalytic pellets in the feed-side chamber (IMRCF). The simulation takes into account the various heat exchanges that take place inside the reactor. The model consists of the full set of partial difference equations that describe the conservation of mass, momentum, energy and chemical species, coupled with chemical kinetics and appropriate boundary conditions for the physical problem. The set of equations is solved by finite difference method. The model is applied to investigate the endothermic dehydrogenation of cyclohexane in the IMRCF, where a permselective Vycor glass membrane is used. The simulation results show that the conversion of cyclohexane for non-isothermal IMRCF at the temperature of 550 K and below is higher than the equilibrium conversion. On the contrary, when the temperature is 570 K and above, the conversion will be lower than the equilibrium conversion. The heat effects have a greater influence on the IMRCR. (c) 2008 Taiwan Institute of Chemical Engineers. Published by Elsevier B.V All rights reserved.