Method for heat transfer in the embedded structure of a heat regenerator and the design thereof

A method of heat transfer in an embedded structure of a heat regenerator, the method comprising:

• operating a system that includes:
• a plurality of segments formed from a porous regenerative material, where the segments are hydraulically separated, and where a temperature gradient through a particularly hydraulically separated segment is smaller than the temperature gradient established along the embedded structure of the heat regenerator;
• a structure for flow of the primary fluid that oscillates through each of the hydraulically separated segments, consisting of porous regenerative material, with the oscillation in a direction that is approximately perpendicular to a direction of the temperature gradient, which is established along the embedded structure of the heat regenerator, whereas the primary fluid transfers or absorbs heat flux from a first and a second heat exchanger,
• a first heat exchanger, which is hydraulically connected with a first side of hydraulically separated segments, the hydraulically separated segments formed from the porous regenerative material;
• a second heat exchanger, which is hydraulically connected with a second side of the hydraulically separated segments, the hydraulically separated segments formed from the porous regenerative material;
• a third heat exchanger that represents the connection with a heat source;
• a fourth heat exchanger that represents the connection with a heat sink;
• and
• a secondary fluid that flows through the third heat exchanger, the first heat exchanger, the fourth heat exchanger, and the second heat exchanger.