Sensitivity Analysis and Inverse Problems in Microscale Heat Transfer

Majchrzak, Ewa; Dziatkiewicz, J.; Turchan, Łukasz

doi:10.4028/www.scientific.net/ddf.362.209

Cited by 9 publications

(8 citation statements)

References 23 publications

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“…As is well known, the inverse problem can be solved using different methods. The one-criterion identification for thin-film heat transfer was considered in previous papers (Majchrzak and Dziatkiewicz, 2012; Mochnacki and Paruch, 2013; Dziatkiewicz et al , 2014, Majchrzak et al , 2015). The multicriteria identification is formulated in most cases as an optimization problem.…”

Section: Introductionmentioning

confidence: 99%

Multicriteria identification of parameters in microscale heat transfer

Kuś

Dziatkiewicz

2017

HFF

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Purpose The purpose of this paper is to present the multicriteria identification method used for solving the microscale heat transfer problem. The thin film exposed to ultrashort laser pulse is modeled using the finite difference method. The parameters of the model are tuned on the basis of experimental data. The multicriteria identification of the numerical model parameters is performed for subsets of experimental data. Design/methodology/approach The multicriteria identification method is used in the paper. The Pareto front for two criterions is created. The two-temperature model of heat transfer in microscale is used in the numerical model. Findings The multicriteria identification for two subsets of experimental data leads to different results. The obtained Pareto front allows to choose the most suitable set of numerical model parameters. Originality/value The multicriteria identification method was used for the first time to solve the microscale heat transfer problem.

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Section: Introductionmentioning

confidence: 99%

Multicriteria identification of parameters in microscale heat transfer

Kuś

Dziatkiewicz

2017

HFF

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“…The sensitivity model is created by the differentiation of energy equations and boundary-initial conditions with respect to the parameter considered (a direct approach, e.g. [13][14][15][16]).…”

Section: Introductionmentioning

confidence: 99%

Sensitivity of Temperature Field in the System Protective Clothing - Forearm With Respect to Perturbations of External Heating Conditions

Mochnacki¹,

Ciesielski²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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In the paper the problem concerning the numerical modeling of thermal processes in domain of biological tissue secured by a layer of protective clothing being in the thermal contact with the environment is discussed. The cross-section of the forearm (2D problem) is treated as the non-homogeneous domain in which the sub-domains of skin tissue, fat, muscle, bone and blood vessels are distinguished. Between skin tissue and protective clothing the air gap is taken into account. This sub-domain is treated as a solid body which thermal conductivity is defined in the special way. The process of external heating is determined by the Neumann boundary condition and the sensitivity analysis with respect to the perturbations of the boundary heat flux is discussed. Both the basic boundary-initial problem and the sensitivity one are solved by means of the control volume method using the Voronoi polygons.

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“…Thus, the aim of the research presented is to estimate the temperature changes due to changes in these parameters. So, the governing equations are differentiated with respect to the parameters considered [6][7][8]. In this way, additional problems are formulated, whose number corresponds to the number of the parameters analyzed.…”

Section: Introductionmentioning

confidence: 99%

Temperature field in burned and healthy tissue - sensitivity analysis with respect to the thermal parameters

Freus

Majchrzak

2014

J. Appl. Math. Comput. Mech.

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A non-homogeneous system being the composition of burn wound and healthy tissue is considered. The heat exchange between sub-domains and environment is described by the system of partial differential equations (the Pennes equations) supplemented by the assumed boundary conditions. Additional problems associated with sensitivity analysis with respect to thermal parameters occurring in the mathematical model are formulated. Both the basic problem and additional ones concerning the sensitivity with respect to selected parameters are solved using the boundary element method. In the final part of the paper the results of computations are shown.

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Sensitivity Analysis and Inverse Problems in Microscale Heat Transfer

Cited by 9 publications

References 23 publications

Multicriteria identification of parameters in microscale heat transfer

Multicriteria identification of parameters in microscale heat transfer

Sensitivity of Temperature Field in the System Protective Clothing - Forearm With Respect to Perturbations of External Heating Conditions

Temperature field in burned and healthy tissue - sensitivity analysis with respect to the thermal parameters

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