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Title: Optimal design of a model energy conversion device

Abstract

Fuel cells, batteries, and thermochemical and other energy conversion devices involve the transport of a number of (electro-) chemical species through distinct materials so that they can meet and react at specified multi-material interfaces. Therefore, morphology or arrangement of these different materials can be critical in the performance of an energy conversion device. In this paper, we study a model problem motivated by a solar-driven thermochemical conversion device that splits water into hydrogen and oxygen. We formulate the problem as a system of coupled multi-material reaction-diffusion equations where each species diffuses selectively through a given material and where the reaction occurs at multi-material interfaces. In conclusion, we introduce a phase-field formulation of the optimal design problem and numerically study selected examples.

Authors:
 [1]; ORCiD logo [2]
+ Show Author Affiliations
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
National Science Foundation (NSF); PIRE; USDOE
OSTI Identifier:
1473926
Report Number(s):
SAND-2018-10097J
Journal ID: ISSN 1615-147X; PII: 2072
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Structural and Multidisciplinary Optimization
Additional Journal Information:
Journal Volume: 59; Journal Issue: 2; Journal ID: ISSN 1615-147X
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
30 DIRECT ENERGY CONVERSION; Energy convergence device; Phase field approach; Reaction-diffusion equations; Thermal hydrolysis; Interfacial reactions

Citation Formats

Collins, Lincoln, and Bhattacharya, Kaushik. Optimal design of a model energy conversion device. United States: N. p., 2018. Web. doi:10.1007/s00158-018-2072-6.
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Collins, Lincoln, & Bhattacharya, Kaushik. Optimal design of a model energy conversion device. United States. https://doi.org/10.1007/s00158-018-2072-6
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Collins, Lincoln, and Bhattacharya, Kaushik. Thu . "Optimal design of a model energy conversion device". United States. https://doi.org/10.1007/s00158-018-2072-6. https://www.osti.gov/servlets/purl/1473926.
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@article{osti_1473926,
title = {Optimal design of a model energy conversion device},
author = {Collins, Lincoln and Bhattacharya, Kaushik},
abstractNote = {Fuel cells, batteries, and thermochemical and other energy conversion devices involve the transport of a number of (electro-) chemical species through distinct materials so that they can meet and react at specified multi-material interfaces. Therefore, morphology or arrangement of these different materials can be critical in the performance of an energy conversion device. In this paper, we study a model problem motivated by a solar-driven thermochemical conversion device that splits water into hydrogen and oxygen. We formulate the problem as a system of coupled multi-material reaction-diffusion equations where each species diffuses selectively through a given material and where the reaction occurs at multi-material interfaces. In conclusion, we introduce a phase-field formulation of the optimal design problem and numerically study selected examples.},
doi = {10.1007/s00158-018-2072-6},
journal = {Structural and Multidisciplinary Optimization},
number = 2,
volume = 59,
place = {United States},
year = {Thu Sep 06 00:00:00 EDT 2018},
month = {Thu Sep 06 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/s00158-018-2072-6
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Cited by: 4 works
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Figures / Tables:

Figure 1 Figure 1: The physical setting: chemical species 1 enters through the source $∂_1Ω$, diffuses through $Ω_1$, is converted to chemical species 2 through a surface reaction at the interface $\mathcal{S}$, chemical species 2 diffuses through $Ω_2$ and leaves through the sink $∂_2Ω$.
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Works referenced in this record:

Modeling 3D Microstructure and Ion Transport in Porous Li-Ion Battery Electrodes
journal, January 2011

  • Stephenson, David E.; Walker, Bryce C.; Skelton, Cole B.
  • Journal of The Electrochemical Society, Vol. 158, Issue 7
  • DOI: 10.1149/1.3579996

Topology optimization of fluids in Stokes flow
journal, January 2002

  • Borrvall, Thomas; Petersson, Joakim
  • International Journal for Numerical Methods in Fluids, Vol. 41, Issue 1
  • DOI: 10.1002/fld.426

Topology optimization approaches: A comparative review
journal, August 2013

Inverse opal ceria–zirconia: architectural engineering for heterogeneous catalysis
journal, January 2008

  • Umeda, Grant A.; Chueh, William C.; Noailles, Liam
  • Energy & Environmental Science, Vol. 1, Issue 4
  • DOI: 10.1039/b810641j

Novel Three-Dimensional Mesoporous Silicon for High Power Lithium-Ion Battery Anode Material
journal, October 2011

  • Jia, Haiping; Gao, Pengfei; Yang, Jun
  • Advanced Energy Materials, Vol. 1, Issue 6
  • DOI: 10.1002/aenm.201100485

Impact of Anode Microstructure on Solid Oxide Fuel Cells
journal, August 2009

Evaluation of the relationship between cathode microstructure and electrochemical behavior for SOFCs
journal, February 2009

Advanced anodes for high-temperature fuel cells
journal, January 2004

  • Atkinson, A.; Barnett, S.; Gorte, R. J.
  • Nature Materials, Vol. 3, Issue 1
  • DOI: 10.1038/nmat1040

Effect of composition of (La0.8Sr0.2MnO3–Y2O3-stabilized ZrO2) cathodes: Correlating three-dimensional microstructure and polarization resistance
journal, April 2010

Nanostructured materials for advanced energy conversion and storage devices
journal, May 2005

  • Aricò, Antonino Salvatore; Bruce, Peter; Scrosati, Bruno
  • Nature Materials, Vol. 4, Issue 5, p. 366-377
  • DOI: 10.1038/nmat1368

Nanomaterials for Rechargeable Lithium Batteries
journal, April 2008

  • Bruce, Peter G.; Scrosati, Bruno; Tarascon, Jean-Marie
  • Angewandte Chemie International Edition, Vol. 47, Issue 16, p. 2930-2946
  • DOI: 10.1002/anie.200702505

Optimal design and relaxation of variational problems, I
journal, January 1986

  • Kohn, Robert V.; Strang, Gilbert
  • Communications on Pure and Applied Mathematics, Vol. 39, Issue 1
  • DOI: 10.1002/cpa.3160390107

Hierarchically Structured Porous Materials for Energy Conversion and Storage
journal, July 2012

  • Li, Yu; Fu, Zheng-Yi; Su, Bao-Lian
  • Advanced Functional Materials, Vol. 22, Issue 22
  • DOI: 10.1002/adfm.201200591

Porous cathode optimization for lithium cells: Ionic and electronic conductivity, capacity, and selection of materials
journal, May 2010

Three-dimensional reconstruction of a solid-oxide fuel-cell anode
journal, June 2006

  • Wilson, James R.; Kobsiriphat, Worawarit; Mendoza, Roberto
  • Nature Materials, Vol. 5, Issue 7
  • DOI: 10.1038/nmat1668

Impact of pore microstructure evolution on polarization resistance of Ni-Yttria-stabilized zirconia fuel cell anodes
journal, March 2011

High-Flux Solar-Driven Thermochemical Dissociation of CO2 and H2O Using Nonstoichiometric Ceria
journal, December 2010

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
journal, June 1979

Design-dependent loads in topology optimization
journal, January 2003

  • Bourdin, Blaise; Chambolle, Antonin
  • ESAIM: Control, Optimisation and Calculus of Variations, Vol. 9
  • DOI: 10.1051/cocv:2002070

Numerical study of a relaxed variational problem from optimal design
journal, August 1986

  • Goodman, Jonathan; Kohn, Robert V.; Reyna, Luis
  • Computer Methods in Applied Mechanics and Engineering, Vol. 57, Issue 1
  • DOI: 10.1016/0045-7825(86)90073-3

An optimal design problem with perimeter penalization
journal, March 1993

  • Ambrosio, Luigi; Buttazzo, Giuseppe
  • Calculus of Variations and Partial Differential Equations, Vol. 1, Issue 1
  • DOI: 10.1007/BF02163264

High electrode activity of nanostructured, columnar ceria films for solid oxide fuel cells
journal, January 2012

  • Jung, WooChul; Dereux, Julien O.; Chueh, William C.
  • Energy & Environmental Science, Vol. 5, Issue 9
  • DOI: 10.1039/c2ee22151a

An electrical conductivity relaxation study of oxygen transport in samarium doped ceria
journal, January 2014

  • Gopal, Chirranjeevi Balaji; Haile, Sossina M.
  • J. Mater. Chem. A, Vol. 2, Issue 7
  • DOI: 10.1039/c3ta13404k
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