Library Subscription: Guest

ISBN: 978-1-56700-537-0

ISBN Online: 978-1-56700-538-7

ISSN Online: 2377-424X

International Heat Transfer Conference 17
August, 14-18, 2023, Cape Town, South Africa

EFFECTIVE THERMAL CONDUCTIVITY MODEL OF PARTICLE-FILLED SPHERE WITH DISTRIBUTED INNER HEAT SOURCES

Get access (open in a dialog) DOI: 10.1615/IHTC17.70-50
10 pages

Abstract

Composite materials are widely utilized in the energy field due to their improved thermal and mechanical properties. The effective thermal conductivity (ETC) of composite materials is an important lumped parameter to describe heat conductions inside composite materials without dealing with complex structures. Classical ETC models, such as Maxwell-Eucken model and Effective Medium model, performed well in particle-filled composite materials. When particles release heat inside composite materials, like particle-filled nuclear fuel elements, classical ETC models are not appropriate, and the effect of inner heat source requires further investigation. In our previous research, heat conductions with inner heat sources were analyzed and the ETCs were redefined to predict the average temperatures of composite materials. The ETC models with distributed inner heat sources were also derived in one-dimension composite plates, indicating the contributions of the number, positions and sizes of inner heat sources. Current work continued to study the ETC model of spherical composite materials with distributed heat-releasing particles. In the spherical two-phase composite material, a number of identical particles were dispersed in the matrix and the heat released from each particle was the same. Given the uniformly distributed positions of particles, the ETC model of spherical composite materials was proposed by the combination of 3 terms and validated by finite element simulations. The new ETC model was also discussed and compared with classical models by various particle numbers, particle sizes and particle-matrix relative thermal conductivities. The new ETC model in this paper reveals the heat conduction mechanism in composite materials with distributed inner heat sources. It also showed the potential to be applied in thermal hydraulic analyses of nuclear reactors with particle-filled fuel elements. Future work will focus on the random distributions of particles and the induced deviations from the proposed ETC model.