Infinite-stage Nernst-Ettingshausen Cryocooler for Practical Applications

Recent developments in Nernst-Ettingshausen (NE) physical phenomena combined with advances in the performance of rare-earth permanent magnets make thermomagnetic (TM) cryocoolers well suited for practical applications. The device performance of a NE cryocooler depends on both the material and the geometric shape of the device. Despite continued progress in TM materials, the optimum shape is still based on a simplified infinite-stage model derived in 1963 by Harman [Adv. Energy Convers. 3(4), 667-676 (1963)]. Harman's model assumes several nonrealistic assumptions, such as temperature-independent material properties and constant current density. We relax such assumptions and derive a fully-temperature-dependent numerical model to accurately solve for the thermomagnetic features of a NE cooler with arbitrary geometry. We correct Harman's analytical function and compare its performance with the performance of devices of various shapes. The corrected shape has a higher coefficient of performance (COP) at higher temperature differentials, which indicates that when the material resistivity is a strong function of the temperature, the corrected infinite-stage device can provide better performance than Harman's geometry. Moreover, the corrected infinite-shape device can provide higher heat flow density under a similar optimum-COP condition. A case study based on a state-of-the-art TM material, Bi-Sb alloy, is presented, and the critical parameters for designing an efficient thermomagnetic cooler are discussed in detail.

Automated summary

The recent progress in Nernst-Ettingshausen (NE) physical phenomena and rare-earth permanent magnets has made thermomagnetic (TM) cryocoolers more suitable for practical applications. The study focuses on the performance of NE cryocoolers based on material and geometric shape, proposing a fully-temperature-dependent numerical model to accurately solve for thermomagnetic features. By correcting Harman's analytical function, the study shows that an optimized infinite-stage device can provide better performance and higher heat flow density under specific conditions.