Analýza nejistot inverzního problému vedení tepla ve dvou prostorových souřadnicích

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but.committeedoc. Ing. Luděk Nechvátal, Ph.D. (předseda) prof. RNDr. Josef Šlapal, CSc. (místopředseda) doc. Ing. Petr Tomášek, Ph.D. (člen) doc. Ing. Jiří Šremr, Ph.D. (člen) prof. RNDr. Miloslav Druckmüller, CSc. (člen) Prof. Bruno Rubino, Ph.D. (člen) Assoc. Prof. Matteo Colangeli, PhD. (člen)cs
but.defenceThe student presented their Master's thesis to the examination committee. The secretary of the committee read aloud the evaluation report of the thesis supervisor. The opponent, who was present in person, read her review. Following this, the student responded to the opponent’s questions. The opponent expressed satisfaction with the student’s answers.cs
but.jazykangličtina (English)
but.programApplied and Interdisciplinary Mathematicscs
but.resultpráce byla úspěšně obhájenacs
dc.contributor.advisorBoháček, Janen
dc.contributor.authorIftikhar, Muhammad Yazmanen
dc.contributor.refereeŠtoudková Růžičková, Vieraen
dc.date.accessioned2025-06-19T04:01:48Z
dc.date.available2025-06-19T04:01:48Z
dc.date.created2025cs
dc.description.abstractThis dissertation examines an inverse heat conduction problem (IHCP) approach to approximate the transient heat transfer coefficient (HTC) distribution on the cooling surface of a high-pressure die casting (HPDC) die insert. We design a synthetic numerical experiment to produce internal temperature data, which is used as input for the inverse analysis. A derivative-free technique of optimization, BOBYQA which is applied via the the NLOPT library is employed to reconstruct the HTC. The HTC are spatially discretized at the thermocouple projection points by the inverse model and linear interpolation is used to approximate the continuous distribution. A strong agreement of viability is manifested against reference data which confirms the accuract of the method. An investigation of sensitivity revealed that even small perturbations in the positions of thermocouples heavily impact the reconstructed HTC. This highlights the significance of the placement of sensors. The robustness of the method is further supported by the analysis of pointwise relative error where local errors are very low. Even though regularization was not performed, it potential to improve stability is discussed as a further enhancement. Altogether, this work provides a practical and efficient inverse method for thermal diagnostics in HPDC, resulting in an enhanced process modeling and experimental design.en
dc.description.abstractThis dissertation examines an inverse heat conduction problem (IHCP) approach to approximate the transient heat transfer coefficient (HTC) distribution on the cooling surface of a high-pressure die casting (HPDC) die insert. We design a synthetic numerical experiment to produce internal temperature data, which is used as input for the inverse analysis. A derivative-free technique of optimization, BOBYQA which is applied via the the NLOPT library is employed to reconstruct the HTC. The HTC are spatially discretized at the thermocouple projection points by the inverse model and linear interpolation is used to approximate the continuous distribution. A strong agreement of viability is manifested against reference data which confirms the accuract of the method. An investigation of sensitivity revealed that even small perturbations in the positions of thermocouples heavily impact the reconstructed HTC. This highlights the significance of the placement of sensors. The robustness of the method is further supported by the analysis of pointwise relative error where local errors are very low. Even though regularization was not performed, it potential to improve stability is discussed as a further enhancement. Altogether, this work provides a practical and efficient inverse method for thermal diagnostics in HPDC, resulting in an enhanced process modeling and experimental design.cs
dc.description.markEcs
dc.identifier.citationIFTIKHAR, M. Analýza nejistot inverzního problému vedení tepla ve dvou prostorových souřadnicích [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2025.cs
dc.identifier.other166038cs
dc.identifier.urihttps://hdl.handle.net/11012/254237
dc.language.isoencs
dc.publisherVysoké učení technické v Brně. Fakulta strojního inženýrstvícs
dc.rightsStandardní licenční smlouva - přístup k plnému textu bez omezenícs
dc.subjectInverse heat conduction problem (IHCP)en
dc.subjectHeat transfer coefficient (HTC)en
dc.subjectHigh-pressure die casting (HPDC)en
dc.subjectNumerical experimenten
dc.subjectThermocouple sensitivity and placementen
dc.subjectBOBYQA optimization algorithmen
dc.subjectNLOPT optimization libraryen
dc.subjectDerivative-free optimizationen
dc.subjectThermal boundary condition reconstructionen
dc.subjectTransient heat conductionen
dc.subjectFinite volume method (FVM)en
dc.subjectComputational fluid dynamics (CFD)en
dc.subjectk-w SST turbulence modelen
dc.subjectTemperature measurement uncertaintyen
dc.subjectSensor misplacement effectsen
dc.subjectThermal diagnosticsen
dc.subjectOptimization under uncertaintyen
dc.subjectJet cooling in die castingen
dc.subjectBoundary condition discretizationen
dc.subjectRegularization techniquesen
dc.subjectSensitivity analysisen
dc.subjectThermal process modelingen
dc.subjectInverse modelingen
dc.subjectTrust-region methodsen
dc.subjectOptimization with bound constraint.en
dc.subjectInverse heat conduction problem (IHCP)cs
dc.subjectHeat transfer coefficient (HTC)cs
dc.subjectHigh-pressure die casting (HPDC)cs
dc.subjectNumerical experimentcs
dc.subjectThermocouple sensitivity and placementcs
dc.subjectBOBYQA optimization algorithmcs
dc.subjectNLOPT optimization librarycs
dc.subjectDerivative-free optimizationcs
dc.subjectThermal boundary condition reconstructioncs
dc.subjectTransient heat conductioncs
dc.subjectFinite volume method (FVM)cs
dc.subjectComputational fluid dynamics (CFD)cs
dc.subjectk-w SST turbulence modelcs
dc.subjectTemperature measurement uncertaintycs
dc.subjectSensor misplacement effectscs
dc.subjectThermal diagnosticscs
dc.subjectOptimization under uncertaintycs
dc.subjectJet cooling in die castingcs
dc.subjectBoundary condition discretizationcs
dc.subjectRegularization techniquescs
dc.subjectSensitivity analysiscs
dc.subjectThermal process modelingcs
dc.subjectInverse modelingcs
dc.subjectTrust-region methodscs
dc.subjectOptimization with bound constraint.cs
dc.titleAnalýza nejistot inverzního problému vedení tepla ve dvou prostorových souřadnicíchen
dc.title.alternativeUncertainty analysis of inverse heat conduction problem in two spatial dimensionscs
dc.typeTextcs
dc.type.drivermasterThesisen
dc.type.evskpdiplomová prácecs
dcterms.dateAccepted2025-06-18cs
dcterms.modified2025-06-18-12:07:01cs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
sync.item.dbid166038en
sync.item.dbtypeZPen
sync.item.insts2025.06.19 06:01:48en
sync.item.modts2025.06.19 05:36:56en
thesis.disciplinebez specializacecs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.levelInženýrskýcs
thesis.nameIng.cs
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