Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method

Zhou, Jianhua; Zhang, Kun; Chen, J.K.; Feng, Z. C.

doi:10.1016/j.ijheatmasstransfer.2010.02.048

Cited by 44 publications

(11 citation statements)

References 22 publications

(32 reference statements)

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“…Changes of the HTC values at elements nodes have been extended in time of cooling in the same way as parameter c in Eq. (4) with the cubic -spline functions (7). The approximation of the boundary condition shown in Fig.…”

Section: Inverse Solutions To Simulated Temperature Sensor Indicationsmentioning

confidence: 99%

“…Inverse solution based on three dimensional heat conduction model are required for heat transfer coefficient determination for plate cooling by a set of water jets, water sprays or water curtains. This class of solutions have been presented by Kim et al [6] and Zhou et al [7] but only for the simulated temperature sensor indications. The solutions have been obtained for a large number of simulated sensors, at least one sensor is required in element or at element node in the plane of simulated sensors locations.…”

Section: Introductionmentioning

confidence: 99%

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Influence of the Finite Element Model on the Inverse Determination of the Heat Transfer Coefficient Distribution over the Hot Plate Cooled by the Laminar Water Jets / Wpływ Modelu Metody Elementów Skonczonych Na Współczynnika Wymiany Ciepła Wyznaczany Z Rozwiazania Odwrotnego Procesu Laminarnego Chłodzenia Płyty Metalowej

Hadała¹,

Malinowski²,

Telejko³

et al. 2013

Archives of Metallurgy and Materials

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The industrial hot rolling mills are equipped with systems for controlled cooling of hot steel products. In the case of strip rolling mills the main cooling system is situated at run-out table to ensure the required strip temperature before coiling. One of the most important system is laminar jets cooling. In this system water is falling down on the upper strip surface. The proper cooling rate affects the final mechanical properties of steel which strongly dependent on microstructure evolution processes. Numerical simulations can be used to determine the water flux which should be applied in order to control strip temperature. The heat transfer boundary condition in case of laminar jets cooling is defined by the heat transfer coefficient, cooling water temperature and strip surface temperature. Due to the complex nature of the cooling process the existing heat transfer models are not accurate enough. The heat transfer coefficient cannot be measured directly and the boundary inverse heat conduction problem should be formulated in order to determine the heat transfer coefficient as a function of cooling parameters and strip surface temperature. In inverse algorithm various heat conduction models and boundary condition models can be implemented. In the present study two three dimensional finite element models based on linear and non-linear shape functions have been tested in the inverse algorithm. Further, two heat transfer boundary condition models have been employed in order to determine the heat transfer coefficient distribution at the hot plate cooled by laminar jets. In the first model heat transfer coefficient distribution over the cooled surface has been approximated by the witch of Agnesi type function with the expansion in time of the approximation parameters. In the second model heat transfer coefficient distribution over the cooled plate surface has been approximated by the surface elements serendipity family with parabolic shape functions. The heat transfer coefficient values at surface element nodes have been expanded in time by the cubic-spline functions. The numerical tests have shown that in the case of heat conduction model based on linear shape functions inverse solution differs significantly from the searched boundary condition. The dedicated finite element heat conduction model based on non-linear shape functions has been developed to ensure inverse determination of heat transfer coefficient distribution over the cooled surface in the time of cooling. The heat transfer coefficient model based on surface elements serendipity family is not limited to a particular form of the heat flux distribution. The solution has been achieved for measured temperatures of the steel plate cooled by 9 laminar jets.Keywords: head transfer coefficient, finite element model, inverse solution Nowoczesne linie walcowania blach na gorąco posiadają instalacje do wymuszonego chłodzenia. Jego celem jest kontrolowanie szybkości zmian temperatury blachy w całej objętości zapewniając tym wymaganą strukturę i własności mechani...

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Section: Inverse Solutions To Simulated Temperature Sensor Indicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of the Finite Element Model on the Inverse Determination of the Heat Transfer Coefficient Distribution over the Hot Plate Cooled by the Laminar Water Jets / Wpływ Modelu Metody Elementów Skonczonych Na Współczynnika Wymiany Ciepła Wyznaczany Z Rozwiazania Odwrotnego Procesu Laminarnego Chłodzenia Płyty Metalowej

Hadała¹,

Malinowski²,

Telejko³

et al. 2013

Archives of Metallurgy and Materials

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“…Such inverse problems are ill posed in the sense of Hadamard (Alifanov et al, 1995;Isakov, 1998;Morozov, 1994). In numerous references, parameter estimation for heat flux identification is achieved considering numerical solution of inverse problems (Park et al, 1999;Zhou et al, 2010;Mohammadiun et al, 2011;Hasanov and Pektas, 2013). Implementation of an extended Kalman filter for online identification purposes related to the IHCP was proposed by Daouas and Radhouani (2004;.…”

Section: Introductionmentioning

confidence: 99%

Heating source localization in a reduced time

Beddiaf

Autrique

Perez

et al. 2016

International Journal of Applied Mathematics and Computer Science

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Inverse three-dimensional heat conduction problems devoted to heating source localization are ill posed. Identification can be performed using an iterative regularization method based on the conjugate gradient algorithm. Such a method is usually implemented off-line, taking into account observations (temperature measurements, for example). However, in a practical context, if the source has to be located as fast as possible (e.g., for diagnosis), the observation horizon has to be reduced. To this end, several configurations are detailed and effects of noisy observations are investigated.

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“…The most numerous group of currently investigated materials are the ones with uniform internal structure, with small spatial variation of material properties, for example metals, pure ceramics and plastics [11], [12], [13], [14]. Another separate group is represented by building porous materials with mostly non-homogenous structure, such as ceramic brick, aerated concrete (AAC) [15], cement and lime mortar, and concrete [2], [3], [10].…”

Section: Introductionmentioning

confidence: 99%

Transient Infrared Measurement of Laser Absorption Properties of Porous Materials

Marynowicz¹

2016

Measurement Science Review

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The infrared thermography measurements of porous building materials have become more frequent in recent years. Many accompanying techniques for the thermal field generation have been developed, including one based on laser radiation. This work presents a simple optimization technique for estimation of the laser beam absorption for selected porous building materials, namely clinker brick and cement mortar. The transient temperature measurements were performed with the use of infrared camera during laser-induced heating-up of the samples' surfaces. As the results, the absorbed fractions of the incident laser beam together with its shape parameter are reported.

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Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method

Cited by 44 publications

References 22 publications

Heating source localization in a reduced time

Transient Infrared Measurement of Laser Absorption Properties of Porous Materials

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