Simplified numerical model of magnetocaloric cooling device
Abstract
In the present paper the laboratory scale test stand of a magnetic cooling device is briefly introduced. One set of measurements,for a given geometry of a magnetic bed filled with gadolinium, are presented and used as reference results fordeveloping a zero-dimensional (0D) mathematical model. The 0D model assumes adiabatic heat transfer in the magnetic bedand thermal interaction of the system with surrounding ambient air. Moreover, it takes into consideration the basic dimensionsof the bed geometry. Its results give a theoretical upper limit of a temperature span of the proposed magnetic cooling device.The ultimate goal of the proposed 0D numerical model is to gain insight into the basic physics needed to build a full CFDmodel and optimize system efficiency so as to approach the theoretical temperature limits.References
[1] M. Isaac, D. van Vuuren, Modeling global residential sector energy demand
for heating and air conditioning in the context of climate change,
Energy Policy 37 (2) (2009) 507–521.
[2] R. Teverson, T. Peters, M. Freer, J. Radcliffe, L. Koh, et al., Doing cold
smarter, Tech. rep. (2015).
[3] K. Sandeman, Magnetocaloric materials: the search for new systems,
Scripta Materialia 67 (6) (2012) 566–571.
[4] A. Smith, C. Bahl, R. Bjørk, K. Engelbrecht, K. Nielsen, P. N., Materials
challenges for high performance magnetocaloric refrigeration devices,
Advanced Energy Materials 11 (2) (2012) 1288–1318.
[5] S. Fähler, Caloric effects in ferroic materials: New concepts for cooling,
Energy Technology 6 (8) (2018) 1394–1396.
[6] N. de Oliveira, P. von Ranke, Theoretical aspects of the magnetocaloric
effect, Physics Reports 489 (4) (2010) 89–159.
[7] F. Casanova i Fernàndez, Magnetocaloric effect in Gd5(SixGe1-x)4
alloys, Ph.D. thesis, Universitat de Barcelona (2014).
URL http://hdl.handle.net/10803/1789
[8] V. Pecharsky, K. Gschneider Jr, Advanced magnetocaloric materials:
what does the future hold?, International Journal of Refrigeration 29 (8)
(2009) 1239–1249.
[9] V. Franco, J. Blázquez, J. Ipus, J. Law, L. Moreno-Ramírez, A. Conde,
Magnetocaloric effect: From materials research to refrigeration devices,
Progress in Materials Science 93 (2018) 112–232.
[10] A. Tishin, Y. Spichkin, The magnetocaloric effect and its applications,
Materials Today 6 (11) (2003) 51.
[11] V. Pecharsky, K. Gschneider Jr, Magnetocaloric effect and magnetic
refrigeration, Journal of Magnetism and Magnetic Materials 200 (1-3)
(1999) 44–56.
[12] G. Brown, Magnetic heat pumping near room temperature, Journal of
Applied Physics 47 (8) (1976) 3673–3680.
[13] R. Bjørk, C. Bahl, A. Smith, D. Christensen, P. N., An optimized magnet
for magnetic refrigeration, Journal of Magnetism and Magnetic Materials
322 (21) (2010) 3324–3328.
[14] R. Bjørk, C. Bahl, A. Smith, P. N., Review and comparison of magnet
designs for magnetic refrigeration, International Journal of Refrigeration
33 (3) (2010) 437–448.
[15] K. Engelbrecht, K. Nielsen, P. N., An experimental study of passive
regenerator geometries, International Journal of Refrigeration 34 (8)
(2011) 1817–1822.
[16] B. Yu, M. Liu, P. Egolf, A. Kitanovski, A review of magnetic refrigerator
and heat pump prototypes built before the year 2010, International
Journal of Refrigeration 13 (6) (2010) 1029–1066.
[17] S. Benford, G. Brown, Magnetic heat pumping near room temperature,
Journal of Applied Physics 52 (3) (1982) 2110.
[18] B. Ponomarev, Magnetic properties of gadolinium in the region of paraprocess,
Journal of Magnetism and Magnetic Materials 61 (1-2) (1986)
129–138.
[19] V. Pecharsky, K. Gschneider Jr, Magnetocaloric effect from indirect
measurements: Magnetization and heat capacity, Journal of Applied
Physics 86 (1) (1999) 568.
[20] Y. S. Koshkid’ko, J. C´ wik, T. Ivanova, S. Nikitin, M. Miller, K. Rogacki,
Magnetocaloric properties of gd in fields up to 14 t, Journal of Magnetism
and Magnetic Materials 433 (2017) 234–238.
[21] T. Okamura, Im-provement of 100 w class room temperature magnetic
refrigerator, Proceedings 2nd International Confer-enee on Magnetic
Refrigeration at Room Temperature, 2007 (2007) 377–382.
[22] K. Engelbrecht, D. Eriksen, C. Bahl, R. Bjørk, J. Geyti, J. Lozano,
K. Nielsen, S. F., A. Smith, P. N., Experimental results for a novel rotary
active magnetic regenarator, International Journal of Refrigeration
35 (6) (2012) 1498–1505.
[23] D. Arnold, A. Tura, A. Ruebsaat-Trott, A. Rowe, Design improvements
of a permanent magnet active magnetic refrigerator, International Journal
of Refrigeration 37 (2014) 99–105.
[24] S. Jacobs, J. Auringer, A. Boeder, J. Chell, L. Komorowski, J. Leonard,
S. Russek, C. Zimm, The performance of a large-scale rotary magnetic
refrigerator, International journal of refrigeration 37 (2014) 84–91.
[25] T. Lei, K. Engelbrecht, K. Nielsen, C. Veje, Study of geometries of
active magnetic regenerators for room temperature magnetocaloric refrigeration,
Applied Thermal Engineering 111 (2017) 1232–1243.
[26] A. Czernuszewicz, J. Kaleta, D. Kołosowski, D. Lewandowski, Experimental
study of the effect of regenerator bed length on the performance
of a magnetic cooling system, International Journal of Refrigeration
97 (2019) 49–55.
[27] S. Churchill, H. Chu, Correlating equations for laminar and turbulent
free convection from vertical plates, International Journal of Heat and
Mass Transfer 18 (11) (1975) 1323–1329.
[28] S. Churchill, Laminar free convection from a horizontal cylinder with
a uniform heat flux density, Letters in Heat and Mass Transfer 2 (1)
(1974) 109–111.
for heating and air conditioning in the context of climate change,
Energy Policy 37 (2) (2009) 507–521.
[2] R. Teverson, T. Peters, M. Freer, J. Radcliffe, L. Koh, et al., Doing cold
smarter, Tech. rep. (2015).
[3] K. Sandeman, Magnetocaloric materials: the search for new systems,
Scripta Materialia 67 (6) (2012) 566–571.
[4] A. Smith, C. Bahl, R. Bjørk, K. Engelbrecht, K. Nielsen, P. N., Materials
challenges for high performance magnetocaloric refrigeration devices,
Advanced Energy Materials 11 (2) (2012) 1288–1318.
[5] S. Fähler, Caloric effects in ferroic materials: New concepts for cooling,
Energy Technology 6 (8) (2018) 1394–1396.
[6] N. de Oliveira, P. von Ranke, Theoretical aspects of the magnetocaloric
effect, Physics Reports 489 (4) (2010) 89–159.
[7] F. Casanova i Fernàndez, Magnetocaloric effect in Gd5(SixGe1-x)4
alloys, Ph.D. thesis, Universitat de Barcelona (2014).
URL http://hdl.handle.net/10803/1789
[8] V. Pecharsky, K. Gschneider Jr, Advanced magnetocaloric materials:
what does the future hold?, International Journal of Refrigeration 29 (8)
(2009) 1239–1249.
[9] V. Franco, J. Blázquez, J. Ipus, J. Law, L. Moreno-Ramírez, A. Conde,
Magnetocaloric effect: From materials research to refrigeration devices,
Progress in Materials Science 93 (2018) 112–232.
[10] A. Tishin, Y. Spichkin, The magnetocaloric effect and its applications,
Materials Today 6 (11) (2003) 51.
[11] V. Pecharsky, K. Gschneider Jr, Magnetocaloric effect and magnetic
refrigeration, Journal of Magnetism and Magnetic Materials 200 (1-3)
(1999) 44–56.
[12] G. Brown, Magnetic heat pumping near room temperature, Journal of
Applied Physics 47 (8) (1976) 3673–3680.
[13] R. Bjørk, C. Bahl, A. Smith, D. Christensen, P. N., An optimized magnet
for magnetic refrigeration, Journal of Magnetism and Magnetic Materials
322 (21) (2010) 3324–3328.
[14] R. Bjørk, C. Bahl, A. Smith, P. N., Review and comparison of magnet
designs for magnetic refrigeration, International Journal of Refrigeration
33 (3) (2010) 437–448.
[15] K. Engelbrecht, K. Nielsen, P. N., An experimental study of passive
regenerator geometries, International Journal of Refrigeration 34 (8)
(2011) 1817–1822.
[16] B. Yu, M. Liu, P. Egolf, A. Kitanovski, A review of magnetic refrigerator
and heat pump prototypes built before the year 2010, International
Journal of Refrigeration 13 (6) (2010) 1029–1066.
[17] S. Benford, G. Brown, Magnetic heat pumping near room temperature,
Journal of Applied Physics 52 (3) (1982) 2110.
[18] B. Ponomarev, Magnetic properties of gadolinium in the region of paraprocess,
Journal of Magnetism and Magnetic Materials 61 (1-2) (1986)
129–138.
[19] V. Pecharsky, K. Gschneider Jr, Magnetocaloric effect from indirect
measurements: Magnetization and heat capacity, Journal of Applied
Physics 86 (1) (1999) 568.
[20] Y. S. Koshkid’ko, J. C´ wik, T. Ivanova, S. Nikitin, M. Miller, K. Rogacki,
Magnetocaloric properties of gd in fields up to 14 t, Journal of Magnetism
and Magnetic Materials 433 (2017) 234–238.
[21] T. Okamura, Im-provement of 100 w class room temperature magnetic
refrigerator, Proceedings 2nd International Confer-enee on Magnetic
Refrigeration at Room Temperature, 2007 (2007) 377–382.
[22] K. Engelbrecht, D. Eriksen, C. Bahl, R. Bjørk, J. Geyti, J. Lozano,
K. Nielsen, S. F., A. Smith, P. N., Experimental results for a novel rotary
active magnetic regenarator, International Journal of Refrigeration
35 (6) (2012) 1498–1505.
[23] D. Arnold, A. Tura, A. Ruebsaat-Trott, A. Rowe, Design improvements
of a permanent magnet active magnetic refrigerator, International Journal
of Refrigeration 37 (2014) 99–105.
[24] S. Jacobs, J. Auringer, A. Boeder, J. Chell, L. Komorowski, J. Leonard,
S. Russek, C. Zimm, The performance of a large-scale rotary magnetic
refrigerator, International journal of refrigeration 37 (2014) 84–91.
[25] T. Lei, K. Engelbrecht, K. Nielsen, C. Veje, Study of geometries of
active magnetic regenerators for room temperature magnetocaloric refrigeration,
Applied Thermal Engineering 111 (2017) 1232–1243.
[26] A. Czernuszewicz, J. Kaleta, D. Kołosowski, D. Lewandowski, Experimental
study of the effect of regenerator bed length on the performance
of a magnetic cooling system, International Journal of Refrigeration
97 (2019) 49–55.
[27] S. Churchill, H. Chu, Correlating equations for laminar and turbulent
free convection from vertical plates, International Journal of Heat and
Mass Transfer 18 (11) (1975) 1323–1329.
[28] S. Churchill, Laminar free convection from a horizontal cylinder with
a uniform heat flux density, Letters in Heat and Mass Transfer 2 (1)
(1974) 109–111.
Published
2019-04-11
How to Cite
PŁUSZKA, Paweł; LEWANDOWSKI, Daniel; MALECHA, Ziemowit Miłosz.
Simplified numerical model of magnetocaloric cooling device.
Journal of Power Technologies, [S.l.], v. 99, n. 2, p. 58–66, apr. 2019.
ISSN 2083-4195.
Available at: <https://papers.itc.pw.edu.pl/index.php/JPT/article/view/1485>. Date accessed: 21 dec. 2024.
Issue
Section
Contemporary Problems of Thermal Engineering 2018 Gliwice
Keywords
magnetic refrigeration; AMR gadolinium cycle; zero-dimensional modeling
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
