Arbeiter, F.

Dagan, R.

Klimenko, D.

Nagatou, K.

Pasler, V.

Schulz, M.

Weth, A. von der

English

KITopen

IKIT/INR/MET  (Maschinenbau)www.kit.eduThoughts of an Isovoluminetric Thermal Desorption ExperimentA. von der Weth, K. Nagatou,  F. Arbeiter, R. Dagan, D. Klimenko , V. Pasler, M. Schulz , INR, CN KIT, 3th June, 2019E-mail: axel.vonderWeth@kit.edu1.: Motivation2.: Description of setup and simplification3.: Structure of Differential Equations4.: Analytical outlook of solution5.: Outlook to Open Foam Results6.: Results of numerical Solution7.: Isovoluminetric thermal Desorption Experiment as automotive applicationMET/INR/Maschinenbau2 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment1.: Descripton of setup of  an Isovoluminetric Thermal Desorption Experimentr-axisz-axisSpecimen, cylinder, body 4Lower cup, body 1Upper cup, body 3“Active” boundary of body 1“Active” boundary of body 2Hollow cylinder,body 2“Active” boundary of body 4, the specimen (Eurofer)“Active” boundary of body 3All other boundaries vacuum MET/INR/Maschinenbau3 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment2.: Physical descripton“Velocity” of mass transfer by diffusion constant DRatio of densities given by Sieverts´ law (phase equilibrium)𝑐 ൌ  𝑘௦ 𝑝௥MET/INR/Maschinenbau4 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentSimple analytical SolutionsWithout re-diffusion, complete outgasing:𝑝௥⏟௧→ஶൌ 𝑝௘௡ௗถ௦௪௜௧௖௛௜௡௚ ௢௙௙௣௨௠௣൅௏ೞೌ ௞ೞ,ೞೌ ௣೗೚ೌ೏  ோ ்௏೎⏟೎೓ೌ೘್೐ೝ ି ௏ೞตೌೞೌ೘೛೗೐ ଶWith phase equilibrium, mass conservation (number of “hydrogens” in atomic interstitial and molecular gaseous state constant)  and non interacting confinement condition:𝑝௥⏟௧→ஶൌെ1 ൅⏟ ௡௘௚.௦௤௥௧ 1 ൅  8 𝑉௖ െ 𝑉௦௔ 𝑝௟௢௔ௗ𝑅 𝑇 𝑉௦𝑘௦,௦௔൅  16 𝑝௘௡ௗ 𝑉௖ െ  𝑉௦௔ ²𝑅 𝑇 𝑉௦௔𝑘௦,௦௔ଶ  𝑉௦௔ 𝑘௦,௦௔ 𝑅 𝑇4 𝑉௖ െ 𝑉௦௔ିଵ  ଶ0 ൌଶ ௏೎ି௏ೞೌோ ் 𝑝௥ଶ൅  𝑉௦𝑘௦,௦௔ 𝑝௥ตୀ"௫" െ 𝑉௦𝑘௦,௦௔ 𝑝௘௡ௗ ൅  ଶ ௣೐೙೏ ௏೎ି௏ೞೌோ ்MET/INR/Maschinenbau5 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment3.: Structure of differential equations:𝜕𝑐𝜕𝑡ൌ 𝐷௦௔∆𝑐డௗడ௧ൌ 𝐷௖௨ ∆𝑑 𝑖  , 𝑖 ൌ 1,2,3𝜕ଶ𝜕𝑟ଶ൅  1𝑟 𝜕𝜕𝑟൅  𝜕ଶ𝜕𝑧ଶ 𝑑ሺ1ሻ 𝑟 ൑ 𝑟௖௢, 𝑧 ൌ െ𝑧௖௜, ∀𝑡 ൌ  𝑘௦,௖௨ 𝑝ሺ𝑡ሻ  𝑑ሺ3ሻ 𝑟 ൑ 𝑟௖௢, 𝑧 ൌ 𝑧௖௜, ∀𝑡 ൌ  𝑘௦,௖௨ 𝑝ሺ𝑡ሻ  𝑑ሺ2ሻ 𝑟 ൌ 𝑟௖௜, െ𝑧௖௜൑ 𝑧 ൑ 𝑧௖௜, ∀𝑡 ൌ  𝑘௦,௖௨ 𝑝ሺ𝑡ሻ  𝑑ሺ2ሻ 𝑟௖௜ ൑ 𝑟 ൑ 𝑟௖௢, 𝑧 ൌ േ𝑧௖௜, ∀𝑡 ൌ  𝑘௦,௖௨ 𝑝ሺ𝑡ሻ  c 0 ൑ 𝑟 ൑ 𝑟௦, 𝑧 ൌ േ𝑧௦, ∀𝑡 ൌ  𝑘௦,௦௔ 𝑝ሺ𝑡ሻ  c 𝑟 ൌ 𝑟௦, 𝑧 ൑ 𝑧௦, ∀𝑡 ൌ  𝑘௦,௦௔ 𝑝ሺ𝑡ሻ  MET/INR/Maschinenbau6 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment3. Structure of differential equations𝑑𝑚𝑑𝑡ൌ  െ 2 𝜋 𝐷௦௔ න 2⏟௦௬௠௠௘௧௥௜௖ 𝑟 𝜕𝜕𝑧 𝑐 𝑟, 𝑧 ൌ 𝑧௦, 𝑡௥ೞ଴𝑑𝑟- 2 𝜋 𝑟௦𝐷௦௔ ׬డడ௥ 𝑐 𝑟 ൌ 𝑟௦, 𝑧, 𝑡௭ೞି௭ೞ𝑑𝑧௦௨௣௘௥௙௜௖௜௘௦ ௦௨௥௙௔௖௘ ௢௙ ௦௣௘௖௜௠௘௡- 2 𝜋 𝐷௖௨ ׬  𝑟 డడ௭ 𝑑ሺ1ሻ 𝑟, 𝑧 ൌ െ𝑧௖௜, 𝑡௥೎೚଴ 𝑑𝑟௖௜௥௖௨௟௔௥ ௔௘௥௘௔ ௢௙ ௕௢ௗ௬ ଵ - 2 𝜋 𝑟௖௜𝐷௖௨ ׬   డడ௥ 𝑑ሺ2ሻ 𝑟 ൌ 𝑟௖௜, 𝑧, 𝑡௭೎೔ି௭೎೔𝑑𝑧௦௨௣௘௥௙௜௖௜௘௦ ௦௨௥௙௔௖௘ ௢௙ ௕௢ௗ௬ ଶ- 2 𝜋 𝐷௖௨ ׬  𝑟 డడ௭ 𝑑ሺ3ሻ 𝑟, 𝑧 ൌ 𝑧௖௜, 𝑡௥೎೚଴ 𝑑𝑟 ௖௜௥௖௨௟௔௥ ௔௥௘௔ ௢௙ ௕௢ௗ௬ଷ𝑝 𝑡 ൌ 𝑝௦௧௔௥௧ ൅  𝑘௩ดோ்ೌ್ೞ௏೒ೌೞ൘න 0.5 ต௚௔௦௘௢௨௦↔௜௡௧௘௥௦௧௜௧௜௔௟𝑑𝑚𝑑𝑡௧௧భା௧మ 𝑑𝑡 MET/INR/Maschinenbau7 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment4. Outlook to analytical solutionMET/INR/Maschinenbau8 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment5. Outlook to open foam resultsMET/INR/Maschinenbau9 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentNumerical artefacts Simple numerical gradient calculation6.: Results of numerical solutionMET/INR/Maschinenbau10 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentGas release Experiment, current statusResult of 1D solver r-dependency.MET/INR/Maschinenbau11 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentCalculation time 2D2  h, inverse problem approx. 920 h Uc1MET/INR/Maschinenbau12 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentBody R-elem Z-elemSpecimen30 1201 50 402 50 1003 50 40Calculation with 2D Version 24 with 12600 elementsMET/INR/Maschinenbau13 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentComparison with analytical solution:MET/INR/Maschinenbau14 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentComparison to analytical solutionMET/INR/Maschinenbau15 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption Experiment7. Thermal desorption experiment as possible automotive application (energy storage) Thermal desorption, GRMetal hydridestorageLithiumorthosislicate tritiumextractionPressure 3 kPa 5 105 – 106 Pa 1 PaExtraction to Hydrogen atmosphereMaterial Sieverts´ Non linear Isotope exchangeTemperature 300°C-500°C 20°C-30°C > 500°CMET/INR/Maschinenbau16 3rd of June, Thoughts to an Isovoluminetric Thermal Desorption ExperimentAcknowledgement:The current talk summarizes results of two running projects:Main goal of the first one is the determination of transport parameters of hydrogen in structural metallic materials used for components in fusion power stations:This work has been carried out within the framework of the EUROfusion Consortium, and has received funding from the Euratom research and training program 2014-2018 and 2019-2020 under grant agreement No 633053. The views and opinions expressed herein do not necessarily reflect those of the European CommissionThe authors further acknowledge support and founding by the KIT center MathSEE in the frame of a second project:Neue Lösungen der Kontinuitätsdifferentialgleichung mit Phasengleichgewicht zur Verbesserung der Ergebnisse bei der Auswertung von Experimenten.

Thoughts of an Isovoluminetric Thermal Desorption Experiment

https://publikationen.bibliothek.kit.edu/1000106001/60015370

Thoughts of an Isovoluminetric Thermal Desorption Experiment

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