Characterization of Magnetocaloric Devices and Materials through Mathematical Models

A special issue of Mathematical and Computational Applications (ISSN 2297-8747). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (31 December 2021) | Viewed by 3761

Special Issue Editors


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Guest Editor
FEMTO-ST, CNRS, Univ. Bourgogne Franche-Comte, rue Thierry Mieg, F-90010 Belfort, CEDEX, France
Interests: magnetic refrigeration; magnetocaloric materials; (semi-)analytical modeling; magnetic equivalent circuit; fluid flow; heat transfers; eddy current losses; electrical machines

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Guest Editor
Département ENERGIE, FEMTO-ST, CNRS, University Bourgogne Franche-Comté, F90000 Belfort, France
Interests: applied mathematics; partial differential equations; separation of variables method; principle of superposition; (semi-)analytical modeling; subdomain technique; magnetic equivalent circuit; electrical machines
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Special Issue Information

Dear Colleagues,

Magnetic refrigeration is a cooling technology based on the magnetocaloric effect, an environmentally friendly refrigeration method without greenhouse gas and high COP (i.e., the coefficient of performance of heat pumps). Among the caloric technologies, magnetocaloric energy conversion is the most developed method for refrigeration, air conditioning, heat pumping, etc. During the last two decades, in the magnetic refrigeration domain, numerical methods have been widely used in R&D departments for their accuracy as compared to measurements. Nevertheless, mainly in 3D, these approaches are time consuming and not suitable for optimization problems. Currently, in order to reduce computation time, R&D engineers must develop full computer-aided designs for magnetocaloric regenerators with accurate and fast models in simulations. Hence, the main objective of this Special Issue is to discuss the latest advances and developments in mathematical modeling on the characterization of magnetocaloric devices and materials for different applications. The main models discussed will be based on the following:

  • Network methodology or equivalent circuits (i.e., electrical, magnetic, thermal, etc.);
  • Momentum and energy equations;
  • Maxwell–Fourier (i.e., multi-layers models, subdomain technique).

The mathematical models can include the following:

  • Nonlinear behavior of materials;
  • Multi-physics modeling with new materials;
  • Multi Curie point;
  • Adaptive generic and/or hybrid models.

The numerical method as well as experimental tests can be used as comparisons or validations.

Dr. Antony Plait
Assoc. Prof. Dr. Frédéric Dubas
Guest Editors

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Published Papers (1 paper)

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Review

37 pages, 16808 KiB  
Review
Review of Multi-Physics Modeling on the Active Magnetic Regenerative Refrigeration
by Julien Eustache, Antony Plait, Frédéric Dubas and Raynal Glises
Math. Comput. Appl. 2021, 26(2), 47; https://doi.org/10.3390/mca26020047 - 15 Jun 2021
Cited by 6 | Viewed by 3098
Abstract
Compared to conventional vapor-compression refrigeration systems, magnetic refrigeration is a promising and potential alternative technology. The magnetocaloric effect (MCE) is used to produce heat and cold sources through a magnetocaloric material (MCM). The material is submitted to a magnetic field with active magnetic [...] Read more.
Compared to conventional vapor-compression refrigeration systems, magnetic refrigeration is a promising and potential alternative technology. The magnetocaloric effect (MCE) is used to produce heat and cold sources through a magnetocaloric material (MCM). The material is submitted to a magnetic field with active magnetic regenerative refrigeration (AMRR) cycles. Initially, this effect was widely used for cryogenic applications to achieve very low temperatures. However, this technology must be improved to replace vapor-compression devices operating around room temperature. Therefore, over the last 30 years, a lot of studies have been done to obtain more efficient devices. Thus, the modeling is a crucial step to perform a preliminary study and optimization. In this paper, after a large introduction on MCE research, a state-of-the-art of multi-physics modeling on the AMRR cycle modeling is made. To end this paper, a suggestion of innovative and advanced modeling solutions to study magnetocaloric regenerator is described. Full article
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