Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission

Abstract We introduce a methodology for density-based topology optimization of non-Fourier thermal transport in nanostructures, based upon adjoint-based sensitivity analysis of the phonon Boltzmann transport equation (BTE) and a novel material interpolation technique, the “transmissio...

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Main Authors: Johnson, Steven G., romano, Giuseppe
Other Authors: Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2022
Online Access:https://hdl.handle.net/1721.1/145782
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author Johnson, Steven G.
romano, Giuseppe
author2 Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
author_facet Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies
Johnson, Steven G.
romano, Giuseppe
author_sort Johnson, Steven G.
collection MIT
description Abstract We introduce a methodology for density-based topology optimization of non-Fourier thermal transport in nanostructures, based upon adjoint-based sensitivity analysis of the phonon Boltzmann transport equation (BTE) and a novel material interpolation technique, the “transmission interpolation model” (TIM). The key challenge in BTE optimization is handling the interplay between real- and momentum-resolved material properties. By parameterizing the material density with an interfacial transmission coefficient, TIM is able to recover the hard-wall and no-interface limits, while guaranteeing a smooth transition between void and solid regions. We first use our approach to tailor the effective thermal conductivity tensor of a periodic nanomaterial; then, we maximize classical phonon size effects under constrained diffusive transport, identifying a promising new thermoelectric material design. Our method enables the systematic optimization of materials for heat management and conversion and, more broadly, the design of devices where diffusive transport is not valid.
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spelling mit-1721.1/1457822024-03-19T02:16:32Z Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission Johnson, Steven G. romano, Giuseppe Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies Massachusetts Institute of Technology. Department of Mathematics Abstract We introduce a methodology for density-based topology optimization of non-Fourier thermal transport in nanostructures, based upon adjoint-based sensitivity analysis of the phonon Boltzmann transport equation (BTE) and a novel material interpolation technique, the “transmission interpolation model” (TIM). The key challenge in BTE optimization is handling the interplay between real- and momentum-resolved material properties. By parameterizing the material density with an interfacial transmission coefficient, TIM is able to recover the hard-wall and no-interface limits, while guaranteeing a smooth transition between void and solid regions. We first use our approach to tailor the effective thermal conductivity tensor of a periodic nanomaterial; then, we maximize classical phonon size effects under constrained diffusive transport, identifying a promising new thermoelectric material design. Our method enables the systematic optimization of materials for heat management and conversion and, more broadly, the design of devices where diffusive transport is not valid. 2022-10-11T18:06:12Z 2022-10-11T18:06:12Z 2022-10-06 2022-10-09T03:11:46Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145782 Structural and Multidisciplinary Optimization. 2022 Oct 06;65(10):297 PUBLISHER_CC en https://doi.org/10.1007/s00158-022-03392-w Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg
spellingShingle Johnson, Steven G.
romano, Giuseppe
Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
title Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
title_full Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
title_fullStr Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
title_full_unstemmed Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
title_short Inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
title_sort inverse design in nanoscale heat transport via interpolating interfacial phonon transmission
url https://hdl.handle.net/1721.1/145782
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AT romanogiuseppe inversedesigninnanoscaleheattransportviainterpolatinginterfacialphonontransmission