## Determining the minimum mass and cost of a magnetic refrigerator

Publication: Research - peer-review › Journal article – Annual report year: 2011

### Standard

**Determining the minimum mass and cost of a magnetic refrigerator.** / Bjørk, Rasmus; Smith, Anders; Bahl, Christian Robert Haffenden; Pryds, Nini.

Publication: Research - peer-review › Journal article – Annual report year: 2011

### Harvard

*International Journal of Refrigeration*, vol 34, no. 8, pp. 1805-1816. DOI: 10.1016/j.ijrefrig.2011.05.021

### APA

*International Journal of Refrigeration*,

*34*(8), 1805-1816. DOI: 10.1016/j.ijrefrig.2011.05.021

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### MLA

*International Journal of Refrigeration*. 2011, 34(8). 1805-1816. Available: 10.1016/j.ijrefrig.2011.05.021

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### Bibtex

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### RIS

TY - JOUR

T1 - Determining the minimum mass and cost of a magnetic refrigerator

AU - Bjørk,Rasmus

AU - Smith,Anders

AU - Bahl,Christian Robert Haffenden

AU - Pryds,Nini

PY - 2011

Y1 - 2011

N2 - An expression is determined for the mass of the magnet and magnetocaloric material needed for a magnetic refrigerator and these are determined using numerical modeling for both parallel plate and packed sphere bed regenerators as function of temperature span and cooling power. As magnetocaloric material Gd or a model material with a constant adiabatic temperature change, representing an infinitely linearly graded refrigeration device, is used. For the magnet a maximum figure of merit magnet or a Halbach cylinder is used. For a cost of $40 and $20 per kg for the magnet and magnetocaloric material, respectively, the cheapest 100 W parallel plate refrigerator with a temperature span of 20 K using Gd and a Halbach magnet has 0.8 kg of magnet, 0.3 kg of Gd and a cost of $35. Using the constant material reduces this cost to $25. A packed sphere bed refrigerator with the constant material costs $7. It is also shown that increasing the operation frequency reduces the cost. Finally, the lowest cost is also found as a function of the cost of the magnet and magnetocaloric material.

AB - An expression is determined for the mass of the magnet and magnetocaloric material needed for a magnetic refrigerator and these are determined using numerical modeling for both parallel plate and packed sphere bed regenerators as function of temperature span and cooling power. As magnetocaloric material Gd or a model material with a constant adiabatic temperature change, representing an infinitely linearly graded refrigeration device, is used. For the magnet a maximum figure of merit magnet or a Halbach cylinder is used. For a cost of $40 and $20 per kg for the magnet and magnetocaloric material, respectively, the cheapest 100 W parallel plate refrigerator with a temperature span of 20 K using Gd and a Halbach magnet has 0.8 kg of magnet, 0.3 kg of Gd and a cost of $35. Using the constant material reduces this cost to $25. A packed sphere bed refrigerator with the constant material costs $7. It is also shown that increasing the operation frequency reduces the cost. Finally, the lowest cost is also found as a function of the cost of the magnet and magnetocaloric material.

KW - Magnetic refrigeration

KW - Magnetisk køling

U2 - 10.1016/j.ijrefrig.2011.05.021

DO - 10.1016/j.ijrefrig.2011.05.021

M3 - Journal article

VL - 34

SP - 1805

EP - 1816

JO - International Journal of Refrigeration

T2 - International Journal of Refrigeration

JF - International Journal of Refrigeration

SN - 0140-7007

IS - 8

ER -