Edward Michaelchuck Jr., Jesse Duncan, Scott Ramsey, Troy Mayo, Samuel Lambrakos

Abstract:

A parametric model of heat transfer through layered materials is presented. This model is formally based on the heat-kernel solution to the advection-diffusion equation, which is extended to include effects of multiple layers with varying thermal diffusivities, interface effects (e.g., large changes in thermal properties), contact resistance, and the effects of singular heat-sinks, represented by negative heat sources. This model provides parametric representations of temperature distributions within layered-material systems, which can be utilized for their design and optimization for layer-configuration, including heat-sink control of thermal transport. Results of prototype modelling of controlled heat transfer in layered-material systems are presented and validated, demonstrating general aspects of the parametric model for thermal analysis and simulation of heat-transfer control using layer configurations and embedded heat sinks.

Keywords: Heat Transfer Model, Multi-Layer Materials, Heat Sinks, Heat Source Distributions, Basis Function Expansion

Date Published: March 26, 2024
DOI: 10.11159/jffhmt.2024.006

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