Chemical looping with oxygen uncoupling (CLOU), an environmentally friendly method for power generation, has been extensively developed in recent years. The main disadvantages of this method, associated with incomplete fuel combustion, ash withdrawal, and dust entrainment, can be solved by changing the structural and process parameters. The simplest fuel reactor for the combustion of methane gas is considered using computer simulation. The gas-phase pressure distribution and its velocity gradient in transverse and longitudinal cross-sections of the reactor are studied in the present work. Using the obtained data, the maximum power of the fuel reactor for implementing the CLOU process is calculated and the requirements for an oxygen accumulator to achieve the claimed performance are formulated.