Recuperator is one of the key devices in the high temperature gas turbine system, which is mandatory to achieve 30% electrical efficiency or higher for microturbine engines.Cross-corrugated recuperators provide high heat transfer capabilities with compact size, light weight and strong mechanical strength.Flow in such geometries is usually laminar with typical Reynolds numbers varying from 300-2000.In order to understand mechanisms of flowing and heat transfer, periodic fully developed fluid flow and heat transfer in three types of cross-corrugated structures with inclination angle at 90° are investigated numerically.Periodicity is used to reduce the complexity of the channel geometry and enables the smallest possible segment of the flow channel to be modeled.The velocity and temperature distributions are obtained in the three-dimensional complex domain.Besides a detailed flow analysis, comparison of the local heat and mass transfer and the pressure losses for these geometries are presented.It is shown that the flow phenomena caused by the different geometries are of significant influence on the homogeneity and on the quantity of the local heat and mass transfer as well as on the pressure drop.