Two-dimensional mathematical model of a reciprocating room-temperature Active Magnetic Regenerator

Detailed numerical modeling of a linear parallel-plate Active Magnetic Regenerator

“…Dikeos et al, 2006;Li et al, 2006;Engelbrecht et al, 2005;Shir et al, 2005;Allab et al, 2005) with the exception of one, published in Petersen et al (2008), which is a two-dimensional model of a parallel-plate design. In the one-dimensional models the regenerator is discretized with a sufficient number of grid cells in the x-direction (parallel to the flow) and thus a lumped analysis needs to be employed in order to describe the heat transfer between the active MCM and the heat transfer fluid.…”

“…This work presents a 2.5-dimensional model that is a further development and re-implementation of the model presented in Petersen et al (2008). This new model was developed in order to decrease computation time, make it much more versatile in terms of geometrical and operational configurations and to include parasitic thermal losses in a physically realistic way in order to resemble the current experimental AMR device situated at Risø DTU in Denmark (see .…”

“…It is very important that the thermal energy exchange between the subdomains is fully conserved at all times. This can be achieved by the FEM (see Petersen et al, 2008). But the cost is a large computational time.…”

“…The basic model is thoroughly discussed in Petersen et al (2008). The following subsection is a short summary of that model and in Subsections 2.2-2.4 new additions are presented.…”

“…The MCE is modeled via mean field theory (MFT) (see Petersen et al, 2008) and the resulting DT ad is directly applied as a discrete temperature increase/decrease in the control volume under consideration. The specific heat capacity c p (H, T ) is also calculated (as a function of both temperature and field) from MFT and is updated in every timestep.…”