In the first part of the contribution, the asymmetric operation of a reverse-flow reactor for endothermic high-temperature syntheses has been introduced and front phenomena have been discussed. The current part presents the implementation of the concept to the production of hydrogen by methane steam reforming. A key element of the developed reformer is the integration of combustion chambers for in situ heat generation during reheating of the bed. To avoid local temperature peaks, the concept of flameless combustion is used. The concept was adapted to the requirements of the unsteady operation. A proper design of the combustion chamber was developed using computational fluid dynamics calculations, tracer experiments and tests in a single combustion chamber. The concept was further tested under periodic operation in a laboratory setup. The formation of the desired, axially extended high-temperature plateau in the center of the reactor could be shown experimentally. The results prove the adequacy of the reverse-flow reformer to attain a stable periodic operation without excess temperatures.