A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening

Coating slurry, in which the infrared radiation material is the main content, is applied in industrial furnaces to improve heat transfer and raise efficiency of furnaces. In this study, a <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <m...

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Main Authors: Haiqing Du, Haifei An, Jian Zhang, Yuhao Ding, Chao Lian, Hao Bai
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Materials
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Online Access:https://www.mdpi.com/1996-1944/13/10/2332
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author Haiqing Du
Haifei An
Jian Zhang
Yuhao Ding
Chao Lian
Hao Bai
author_facet Haiqing Du
Haifei An
Jian Zhang
Yuhao Ding
Chao Lian
Hao Bai
author_sort Haiqing Du
collection DOAJ
description Coating slurry, in which the infrared radiation material is the main content, is applied in industrial furnaces to improve heat transfer and raise efficiency of furnaces. In this study, a <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Cu</mi> </mrow> <mi>x</mi> </msub> <msub> <mrow> <mi>Co</mi> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> </msub> <msub> <mrow> <mi>Fe</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>4</mn> </msub> </mrow> </semantics> </math> </inline-formula> series material with a spinel structure was prepared, and the emissivity of different formulas in two wavebands (3–5 μm and 8–14 μm) was measured. To ensure that the material delivered high emissivity, optimization models were proposed using Matlab software, and proportions of CuO, Co<sub>2</sub>O<sub>3</sub> and Fe<sub>2</sub>O<sub>3</sub> were found to be 16.98%, 16.73% and 66.29%, respectively, in the optimal formula. Thus, using the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Cu</mi> </mrow> <mi>x</mi> </msub> <msub> <mrow> <mi>Co</mi> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> </msub> <msub> <mrow> <mi>Fe</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>4</mn> </msub> </mrow> </semantics> </math> </inline-formula> series material and additives, according to mixture regression method, fifteen formulas of coating slurry were designed, prepared and the emissivities were measured. With the Matlab software optimization model, the content of coating slurry was optimized and the corresponding emissivities were measured to be 0.931 and 0.905 in two wavebands, which is in agreement with the optimized calculation.
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spelling doaj.art-1d70bceee3b046819206a4fb63afddc22023-11-20T00:57:55ZengMDPI AGMaterials1996-19442020-05-011310233210.3390/ma13102332A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation StrengtheningHaiqing Du0Haifei An1Jian Zhang2Yuhao Ding3Chao Lian4Hao Bai5Department of Mechanical Engineering, Zhejiang Industry Polytechnic College, Shaoxing 312000, ChinaState Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, ChinaState Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Beijing 100083, ChinaCoating slurry, in which the infrared radiation material is the main content, is applied in industrial furnaces to improve heat transfer and raise efficiency of furnaces. In this study, a <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Cu</mi> </mrow> <mi>x</mi> </msub> <msub> <mrow> <mi>Co</mi> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> </msub> <msub> <mrow> <mi>Fe</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>4</mn> </msub> </mrow> </semantics> </math> </inline-formula> series material with a spinel structure was prepared, and the emissivity of different formulas in two wavebands (3–5 μm and 8–14 μm) was measured. To ensure that the material delivered high emissivity, optimization models were proposed using Matlab software, and proportions of CuO, Co<sub>2</sub>O<sub>3</sub> and Fe<sub>2</sub>O<sub>3</sub> were found to be 16.98%, 16.73% and 66.29%, respectively, in the optimal formula. Thus, using the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mrow> <mi>Cu</mi> </mrow> <mi>x</mi> </msub> <msub> <mrow> <mi>Co</mi> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mi>x</mi> </mrow> </msub> <msub> <mrow> <mi>Fe</mi> </mrow> <mn>2</mn> </msub> <msub> <mi mathvariant="normal">O</mi> <mn>4</mn> </msub> </mrow> </semantics> </math> </inline-formula> series material and additives, according to mixture regression method, fifteen formulas of coating slurry were designed, prepared and the emissivities were measured. With the Matlab software optimization model, the content of coating slurry was optimized and the corresponding emissivities were measured to be 0.931 and 0.905 in two wavebands, which is in agreement with the optimized calculation.https://www.mdpi.com/1996-1944/13/10/2332coatinginfrared radiationsolid solutionoptimizationemissivity
spellingShingle Haiqing Du
Haifei An
Jian Zhang
Yuhao Ding
Chao Lian
Hao Bai
A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening
Materials
coating
infrared radiation
solid solution
optimization
emissivity
title A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening
title_full A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening
title_fullStr A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening
title_full_unstemmed A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening
title_short A Novel Optimization Model and Application of Optimal Formula Design for Cu<sub>x</sub>Co<sub>1−x</sub>Fe<sub>2</sub>O<sub>4</sub> Spinel-Based Coating Slurry in Relation to Near and Middle Infrared Radiation Strengthening
title_sort novel optimization model and application of optimal formula design for cu sub x sub co sub 1 x sub fe sub 2 sub o sub 4 sub spinel based coating slurry in relation to near and middle infrared radiation strengthening
topic coating
infrared radiation
solid solution
optimization
emissivity
url https://www.mdpi.com/1996-1944/13/10/2332
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