Dynamic observers based on Green's functions applied to 3D inverse thermal models

Sousa, Priscila F.B.; Carvalho, Solidônio R.; Guimarães, Gilmar

doi:10.1080/17415970802082765

Cited by 9 publications

(4 citation statements)

References 8 publications

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“…This computational algorithm has been developed over the last 14 years by the research group of the Laboratory of Heat and Mass Transfer, College of Mechanical Engineering, Federal University of Uberlândia. It has been extensively validated and has led to several articles published in scientific journals and conferences, such as Brito et al [10], Brito et al [11], Sousa et al [12] and Carvalho et al [9].…”

Section: The Direct Problem: Thermal Modelmentioning

confidence: 99%

Analyses of Effects of Cutting Parameters on Cutting Edge Temperature Using Inverse Heat Conduction Technique

Santos

Silva

Machado

et al. 2014

Mathematical Problems in Engineering

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During machining energy is transformed into heat due to plastic deformation of the workpiece surface and friction between tool and workpiece. High temperatures are generated in the region of the cutting edge, which have a very important influence on wear rate of the cutting tool and on tool life. This work proposes the estimation of heat flux at the chip-tool interface using inverse techniques. Factors which influence the temperature distribution at the AISI M32C high speed steel tool rake face during machining of a ABNT 12L14 steel workpiece were also investigated. The temperature distribution was predicted using finite volume elements. A transient 3D numerical code using irregular and nonstaggered mesh was developed to solve the nonlinear heat diffusion equation. To validate the software, experimental tests were made. The inverse problem was solved using the function specification method. Heat fluxes at the tool-workpiece interface were estimated using inverse problems techniques and experimental temperatures. Tests were performed to study the effect of cutting parameters on cutting edge temperature. The results were compared with those of the tool-work thermocouple technique and a fair agreement was obtained.

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Section: The Direct Problem: Thermal Modelmentioning

confidence: 99%

Analyses of Effects of Cutting Parameters on Cutting Edge Temperature Using Inverse Heat Conduction Technique

Santos

Silva

Machado

et al. 2014

Mathematical Problems in Engineering

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“…For a detailed discussion of IHCP solution techniques, refer to Beck et al (1985) and Alifanov (1994). The few recent works on IHCP in three dimensions, Loulou and Artioukhine (2006), Cheng et al (2007), Sousa et al (2008) and Soemers (2008) are briefly reviewed as follows. A numerical algorithm for solving a 3D unsteady nonlinear IHCP defined in a cylindrical geometry by means of an iterative regularization method is addressed in Loulou and Artioukhine (2006).…”

Section: Introductionmentioning

confidence: 99%

“…In Cheng et al (2007), a spherically symmetric 3D IHCP is solved using a modified Tikhonov regularization method. In Sousa et al (2008), a new procedure involving dynamic state observers is reported to solve multidimensional IHCP. Furthermore, specialized methods for the solution of anisotropic 3D IHCP have been recently reported in literature Soemers (2008) and applied to investigate how the heat transfer in falling films is influenced by the wave characteristics.…”

Section: Introductionmentioning

confidence: 99%

A multi‐level adaptive solution strategy for 3D inverse problems in pool boiling

Heng

Karalashvili

Mhamdi

et al. 2011

Int Jnl of Num Meth for HFF

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PurposeThe purpose of this paper is to present an efficient algorithm based on a multi‐level adaptive mesh refinement strategy for the solution of ill‐posed inverse heat conduction problems arising in pool boiling using few temperature observations.Design/methodology/approachThe stable solution of the inverse problem is obtained by applying the conjugate gradient method for the normal equation method together with a discrepancy stopping rule. The resulting three‐dimensional direct, adjoin and sensitivity problems are solved numerically by a space‐time finite element method. A multi‐level computational approach, which uses an a posteriori error estimator to adaptively refine the meshes on different levels, is proposed to speed up the entire inverse solution procedure.FindingsThis systematic approach can efficiently solve the large‐scale inverse problem considered without losing necessary detail in the estimated quantities. It is shown that the choice of different termination parameters in the discrepancy stopping conditions for each level is crucial for obtaining a good overall estimation quality. The proposed algorithm has also been applied to real experimental data in pool boiling. It shows high computational efficiency and good estimation quality.Originality/valueThe high efficiency of the approach presented in the paper allows the fast processing of experimental data at many operating conditions along the entire boiling curve, which has been considered previously as computationally intractable. The present study is the authors' first step towards a systematic approach to consider an adaptive mesh refinement for the solution of large‐scale inverse boiling problems.

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“…De Sousa et al (2012) [5] based on [8] have developed a technique that can estimate the heat flux at interface and subsequently obtain the field temperature in the material during drilling process. A 3D transient model with moving interface and an inverse technique based on temperature measurement from thermocouple attached to the surface were developed.…”

Section: Introductionmentioning

confidence: 99%

Estimation of a Moving Heat Source due to a Micromilling Process Using the Modified TFBGF Technique

Ribeiro

Fernandes

Cunha

et al. 2018

Mathematical Problems in Engineering

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Moving heat sources are present in numerous engineering problems as welding and machining processes, heat treatment, or biological heating. In all these cases, the heat input identification represents an important factor in the optimization of the process. The aim of this study is to investigate the heat flux delivered to a workpiece during a micromilling process. The temperature measurements were obtained using a thermocouple at an accessible region of the workpiece surface while micromilling a small channel. The analytical solution is calculated from a 3D transient heat conduction model with a moving heat source, called direct problem. The estimation of the moving heat source uses the Transfer Function Based on Green's Function Method. This method is based on Green's function and the equivalence between thermal and dynamic systems. The technique is simple without iterative processes and extremely fast. From the temperature on accessible regions it is possible to estimate the heat flux by an inverse procedure of the Fast Fourier Transform. A test of micromilling of 6365 aluminium alloy was made and the heat delivered to the workpiece was estimated. The estimation of the heat without use of optimization technique is the great advantage of the technique proposed.

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Dynamic observers based on Green's functions applied to 3D inverse thermal models

Cited by 9 publications

References 8 publications

Analyses of Effects of Cutting Parameters on Cutting Edge Temperature Using Inverse Heat Conduction Technique

Analyses of Effects of Cutting Parameters on Cutting Edge Temperature Using Inverse Heat Conduction Technique

A multi‐level adaptive solution strategy for 3D inverse problems in pool boiling

Estimation of a Moving Heat Source due to a Micromilling Process Using the Modified TFBGF Technique

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