“…1: Scheme of the membrane reactor and modulated inputs by a square wave b-Plug-flow is assumed for the reaction and permeation sides in steady state conditions, c-Ideal gas law is applicable, d-The internal mass transfer resistance is accounted, e-The catalyst deactivation by coke formation is negligible, f-The factors affecting the dynamic or periodic operation are complex.In this work, the periodic operation is only imposed via a symetric square function for the steam to methanol and sweeping gas to methanol ratios. Thus, the reaction and permeate sides of the reactor are operated under created steady state mode, g-Under the periodic operations, it is assumed that the composition and sweeping gas ratio imposed exhibit a steady state constant part and a time dependent part, h-It is known that an improvement is attained if the time-average performance of the periodic operation is larger than that of the corresponding steady-state process[20], i.e., under forcing conditions, we suppose that the period of change of the modulation function is significantly larger than the characteristic process time, so the reactor operates under quasi steady state conditions[21][22],…”