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Magnetic Refrigeration (at room temperature)
Behzad Monfared
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Agenda Introduction Computer simulation Prototype
Solid-state magnetic refrigeration Future work
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Magnetocaloric effect
Temperature increase in presence of magnetic field (magnetocaloric effect) Example: Gd (rare-earth metal)
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Working principle
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Thermodynamic cycle Resembles Brayton cycle Limited span Regeneration
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Regeneration
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Active regeneration
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Porous regenerator Packed bed Parallel plates
(Tusek et al. 2013)
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A built prototype (not ours)
Cold heat exchanger Bahl et al., 2012, Thermag V Conf., Grenoble
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Technical Aspects of a Magnetic Refrigerator
Hydraulics Mechanics Material science Magnetism Thermodynamics Heat transfer - Bed of MC material - Valves and connections - Heat exchangers - Pumping power - Bed of MC material - Heat losses - Heat exchangers - Power transmission losses - Mechanisms - Magnetic and non-magnetic properties - Mechanics of Material - Hysteresis, Volume change, etc. - Magnetocaloric effect - Bed of MC material - Heat exchangers - Energy balance and performance evaluation - Design of the magnet assembly - Field variations (spatial and temporal) - Magnetic forces - Magnetization of the MC materials - Eddy currents
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Advantages No leakage of refrigerants
Magnetization/demagnetization is reversible unlike compression/expansion Potential for higher efficiency the most promising alternative to vapor-compression technology (compared to Thermoelectric, Stirling, Electrocaloric, etc.) (Qian et al. 2016)
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Agenda Introduction Computer simulation Prototype
Solid-state magnetic refrigeration Future work
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Mathematical model Solid
𝑘 𝑒𝑠 𝜕 2 𝑇 𝑠 𝜕 𝑥 2 + ℎ 𝑠𝑓 𝑎 𝑇 𝑓 − 𝑇 𝑠 − 1−𝜀 𝜌 𝑠 𝑇 𝑠 𝜕𝑠 𝜕𝐵 𝜕𝐵 𝜕𝑡 =(1−𝜀) 𝜌 𝑠 𝑐 𝑝,𝑠 𝜕 𝑇 𝑠 𝜕𝑡 Fluid 𝑘 𝑒𝑓 𝜕 2 𝑇 𝑓 𝜕 𝑥 2 − 𝑉 𝐷 𝑐 𝑝,𝑓 𝜕 𝑇 𝑓 𝜕𝑥 − ℎ 𝑠𝑓 𝑎 𝑇 𝑓 − 𝑇 𝑠 + 𝑑𝑃 𝑑𝑥 𝑉 𝐷 =𝜀 𝜌 𝑓 𝑐 𝑝,𝑓 𝜕 𝑇 𝑓 𝜕𝑡 Monfared and Palm "Optimization of layered regenerator of a magnetic refrigeration device." International Journal of Refrigeration 57: doi:
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Agenda Introduction Computer simulation Prototype
Solid-state magnetic refrigeration Future work
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Design specifications
200 W cooling capacity over 40 K temperature span Estimated 1.6 COP Magnetic field indicates cost, weight, and size Comparison: (Jacobs et al. 2014) 2000 W over 12 K temperature span with 1.44 T field * defined differently cooling capacity [W] (zero span) temperature span* [K] (zero load) magnetic field [T] (Zimm et al. 2006) 50 25 1.5 (Okamura et al. 2007) 560 8 1.1 (Vasile and Müller 2006) 360 14 2.4 (Yao et al. 2006) 51 42 (Lozano 2014) 625 1.24
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Regenerators
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Magnetic circuit
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Measured results (1/6 of the capacity)
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Materials: the main problem
Pulverization (low mechanical strength) Corrosion Non-uniform size of particles Low quality of delivery Resulting in excessive pressure drop, low performance, clogging, etc.
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Agenda Introduction Computer simulation Prototype
Solid-state magnetic refrigeration Future work
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Another work in parallel
Low cycle frequency of the conventional magnetic refrigeration systems described Small cooling capacity per kg of magnetocaloric material Large magnets ( 𝑚 𝑚𝑎𝑔 𝑚 𝑀𝐶𝑀 does not increase linearly) Expensive and bulky Solid-state magnetic refrigeration
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Solid-state magnetic refrigeration
Enhanced conduction in one direction
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Agenda Introduction Computer simulation Prototype
Solid-state magnetic refrigeration Future work
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Future work Solving the remaining problems of the prototype
Running systematic experiments to study the effect of different parameters Adjusting the software model using the experimental data Simulating solid-state magnetic refrigeration systems
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Thank you
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