Relevant bibliographies by topics / Inverse heat transfer problems

Academic literature on the topic 'Inverse heat transfer problems'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Inverse heat transfer problems"

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Orlande, Helcio R. B. "Inverse Heat Transfer Problems." Heat Transfer Engineering 32, no. 9 (August 2011): 715–17. http://dx.doi.org/10.1080/01457632.2011.525128.

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Colaço, Marcelo J., Helcio R. B. Orlande, and George S. Dulikravich. "Inverse and optimization problems in heat transfer." Journal of the Brazilian Society of Mechanical Sciences and Engineering 28, no. 1 (March 2006): 1–24. http://dx.doi.org/10.1590/s1678-58782006000100001.

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De Mey, G., B. Bogusławski, and A. Kos. "Unstable Inverse Heat Transfer Problems in Microelectronics." Acta Physica Polonica A 123, no. 4 (April 2013): 637–41. http://dx.doi.org/10.12693/aphyspola.123.637.

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Magalhães, Elisan, Bruno Anselmo, Ana Lima e Silva, and Sandro Lima e Silva. "Time Traveling Regularization for Inverse Heat Transfer Problems." Energies 11, no. 3 (February 27, 2018): 507. http://dx.doi.org/10.3390/en11030507.

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Zhukov, V. P., A. Ye Barochkin, M. S. Bobrova, A. N. Belyakov, and S. I. Shuvalov. "Matrix method to solve the inverse problem of heat transfer in heat exchangers." Vestnik IGEU, no. 2 (April 30, 2021): 62–69. http://dx.doi.org/10.17588/2072-2672.2021.2.062-069.

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Along with verification calculations of known designs of heat exchangers, in design engineering and when we develop new technologies, design calculations are necessary to solve the inverse problems of choosing the optimal designs and operating modes of equipment. Previously, the formulation and solution of inverse problems of classification and unsteady heat conduction have been considered, while the inverse problems of heat transfer in the design of heat exchange equipment are poorly presented in the literature. The development of methods to solve inverse problems in the design of heat exchange equipment is an urgent task of power industry. Matrix models of heat transfer based on mass and energy balance equations are used to formulate and solve inverse problems of heat exchange systems. Methods of mathematical programming are applied to solve inverse and optimization problems. For design calculations, a matrix method to solve inverse problems for choosing the design of devices and parameters of heat carriers that ensure the effective operation of the system is proposed. The inverse problem is formulated for the case of the sliding boundary of the beginning of the phase transition with the countercurrent type of movement of heat carriers. The obtained results can be used in power energy, chemical and food industries to improve the efficiency of designing resource-and energy-saving technologies. The solutions obtained can be implemented when developing measures to improve resource and energy saving technologies.
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Majchrzak, Ewa, Jolanta Dziatkiewicz, and Łukasz Turchan. "Sensitivity Analysis and Inverse Problems in Microscale Heat Transfer." Defect and Diffusion Forum 362 (April 2015): 209–23. http://dx.doi.org/10.4028/www.scientific.net/ddf.362.209.

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In the paper the selected problems related to the modeling of microscale heat transfer are presented. In particular, thermal processes occurring in thin metal films exposed to short-pulse laser are described by two-temperature hyperbolic model supplemented by appropriate boundary and initial conditions. Sensitivity analysis of electrons and phonons temperatures with respect to the microscopic parameters is discussed and also the inverse problems connected with the identification of relaxation times and coupling factor are presented. In the final part of the paper the examples of computations are shown.
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Pyatkov, Sergey Grigorievich. "INVERSE PROBLEMS IN THE HEAT AND MASS TRANSFER THEORY." Yugra State University Bulletin 13, no. 4 (December 15, 2017): 61–78. http://dx.doi.org/10.17816/byusu20170461-78.

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This article is a survey of the recent results obtained preferably by the author and its coauthors and devoted to the study of inverse problem for some mathematical models, in particular those describing heat and mass transfer and convection-diffusion processes. They are defined by second and higher order parabolic equations and systems. We examine the following two types of overdetermination conditions: a solution is specified on some collection of spatial manifolds (or at separate points) or some collection of integrals of a solution with weight is prescribed. We study an inverse problem of recovering a right-hand side (the source function) or the coefficients of equations characterizing the medium. The unknowns (coefficients and the right-hand side) depend on time and a part of the space variables. We expose existence and uniqueness theorems, stability estimates for solutions. The main results in the linear case, i.e., we recover the source function, are global in time while they are local in time in the general case. The main function spaces used are the Sobolev spaces.
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Kaipio, Jari P., and Colin Fox. "The Bayesian Framework for Inverse Problems in Heat Transfer." Heat Transfer Engineering 32, no. 9 (August 2011): 718–53. http://dx.doi.org/10.1080/01457632.2011.525137.

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Rukolaine, S. A. "Regularization of inverse boundary design radiative heat transfer problems." Journal of Quantitative Spectroscopy and Radiative Transfer 104, no. 1 (March 2007): 171–95. http://dx.doi.org/10.1016/j.jqsrt.2006.09.001.

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Kolesnikov, P. M. "Inverse problems of radiative heat transfer in polydispersed media." Journal of Engineering Physics 56, no. 3 (March 1989): 358–63. http://dx.doi.org/10.1007/bf00871180.

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Dissertations / Theses on the topic "Inverse heat transfer problems"

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Van, Cong Tuan Son. "Numerical solutions to some inverse problems." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/38248.

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Doctor of Philosophy
Department of Mathematics
Alexander G. Ramm
In this dissertation, the author presents two independent researches on inverse problems: (1) creating materials in which heat propagates a long a line and (2) 3D inverse scattering problem with non-over-determined data. The theories of these methods were developed by Professor Alexander Ramm and are presented in Chapters 1 and 3. The algorithms and numerical results are taken from the papers of Professor Alexander Ramm and the author and are presented in Chapters 2 and 4.
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Morales, Rebellon Juan Carlos. "Radiation exchange within enclosures of diffuse gray surfaces : the inverse problem /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Moore, Travis J. "Application of Variation of Parameters to Solve Nonlinear Multimode Heat Transfer Problems." BYU ScholarsArchive, 2014. https://scholarsarchive.byu.edu/etd/4254.

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The objective of this work is to apply the method of variation of parameters to various direct and inverse nonlinear, multimode heat transfer problems. An overview of the general method of variation of parameters is presented and applied to a simple example problem. The method is then used to obtain solutions to three specific extended surface heat transfer problems: 1. a radiating annular fin, 2. convective and radiative exchange between the surface of a continuously moving strip and its surroundings, and 3. convection from a fin with temperature-dependent thermal conductivity and variable cross-sectional area. The results for each of these examples are compared to those obtained using other analytical and numerical methods. The method of variation of parameters is also applied to the more complex problem of combined conduction-radiation in a one-dimensional, planar, absorbing, emitting, non-gray medium with non-gray opaque boundaries. Unlike previous solutions to this problem, the solution presented here is exact. The model is verified by comparing the temperature profiles calculated from this work to those found using numerical methods for both gray and non-gray cases. The combined conduction-radiation model is then applied to determine the temperature profile in a ceramic thermal barrier coating designed to protect super alloy turbine blades from large and extended heat loads. Inverse methods are implemented in the development of a non-contact method of measuring the properties and temperatures within the thermal barrier coating. Numerical experiments are performed to assess the effectiveness of this measurement technique. The combined conduction-radiation model is also applied to determine the temperature profile along the fiber of an optical fiber thermometer. An optical fiber thermometer consists of an optical fiber whose sensing tip is coated with an opaque material which emits radiative energy along the fiber to a detector. Inverse methods are used to infer the tip temperature from spectral measurements made by the detector. Numerical experiments are conducted to assess the effectiveness of these methods. Experimental processes are presented in which a coating is applied to the end of an optical fiber and connected to an FTIR spectrometer. The system is calibrated and the inverse analysis is used to infer the tip temperature in various heat sources.
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Silieti, Mahmood. "INVERSE BOUNDARY ELEMENT/GENETIC ALGORITHM METHOD FOR RECONSTRUCTION O." Doctoral diss., University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3325.

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A methodology is formulated for the solution of the inverse problem concerned with the reconstruction of multi-dimensional heat fluxes for film cooling applications. The motivation for this study is the characterization of complex thermal conditions in industrial applications such as those encountered in film cooled turbomachinery components. The heat conduction problem in the metal endwall/shroud is solved using the boundary element method (bem), and the inverse problem is solved using a genetic algorithm (ga). Thermal conditions are overspecified at exposed surfaces amenable to measurement, while the temperature and surface heat flux distributions are unknown at the film cooling hole/slot walls. The latter are determined in an iterative process by developing two approaches. The first approach, developed for 2d applications, solves an inverse problem whose objective is to adjust the film cooling hole/slot wall temperatures and heat fluxes until the temperature and heat flux at the measurement surfaces are matched in an overall heat conduction solution. The second approach, developed for 2d and 3d applications, is to distribute a set of singularities (sinks) at the vicinity of the cooling slots/holes surface inside a fictitious extension of the physical domain or along cooling hole centerline with a given initial strength distribution. The inverse problem iteratively alters the strength distribution of the singularities (sinks) until the measuring surfaces heat fluxes are matched. The heat flux distributions are determined in a post-processing stage after the inverse problem is solved. The second approach provides a tremendous advantage in solving the inverse problem, particularly in 3d applications, and it is recommended as the method of choice for this class of problems. It can be noted that the ga reconstructed heat flux distributions are robust, yielding accurate results to both exact and error-laden inputs. In all cases in this study, results from experiments are simulated using a full conjugate heat transfer (cht) finite volume models which incorporate the interactions of the external convection in the hot turbulent gas, internal convection within the cooling plena, and the heat conduction in the metal endwall/shroud region. Extensive numerical investigations are undertaken to demonstrate the significant importance of conjugate heat transfer in film cooling applications and to identify the implications of various turbulence models in the prediction of accurate and more realistic surface temperatures and heat fluxes in the cht simulations. These, in turn, are used to provide numerical inputs to the inverse problem. Single and multiple cooling slots, cylindrical cooling holes, and fan-shaped cooling holes are considered in this study. The turbulence closure is modeled using several two-equation approach, the four-equation turbulence model, as well as five and seven moment reynolds stress models. The predicted results, by the different turbulence models, for the cases of adiabatic and conjugate models, are compared to experimental data reported in the open literature. Results show the significant effects of conjugate heat transfer on the temperature field in the film cooling hole region, and the additional heating up of the cooling jet itself. Moreover, results from the detailed numerical studies presented in this study validate the inverse problem approaches and reveal good agreement between the bem/ga reconstructed heat fluxes and the cht simulated heat fluxes along the inaccessible cooling slot/hole walls
Ph.D.
Department of Mechanical, Materials and Aerospace Engineering;
Engineering and Computer Science
Mechanical Engineering
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Rogers, Craig. "PARAMETER ESTIMATION IN HEAT TRANSFER AND ELASTICITY USING TRAINED POD-RBF NETWORK INVERSE METHODS." Master's thesis, University of Central Florida, 2010. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4143.

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In applied mechanics it is always necessary to understand the fundamental properties of a system in order to generate an accurate numerical model or to predict future operating conditions. These fundamental properties include, but are not limited to, the material parameters of a specimen, the boundary conditions inside of a system, or essential dimensional characteristics that define the system or body. However in certain instances there may be little to no knowledge about the systems conditions or properties; as a result the problem cannot be modeled accurately using standard numerical methods. Consequently, it is critical to define an approach that is capable of identifying such characteristics of the problem at hand. In this thesis, an inverse approach is formulated using proper orthogonal decomposition (POD) with an accompanying radial basis function (RBF) network to estimate the current material parameters of a specimen with little prior knowledge of the system. Specifically conductive heat transfer and linear elasticity problems are developed in this thesis and modeled with a corresponding finite element (FEM) or boundary element (BEM) method. In order to create the truncated POD-RBF network to be utilized in the inverse approach, a series of direct FEM or BEM solutions are used to generate a statistical data set of temperatures or deformations in the system or body, each having a set of various material parameters. The data set is then transformed via POD to generate an orthonormal basis to accurately solve for the desired material characteristics using the Levenberg-Marquardt (LM) algorithm. For now, the LM algorithm can be simply defined as a direct relation to the minimization of the Euclidean norm of the objective Least Squares function(s). The trained POD-RBF inverse technique outlined in this thesis provides a flexible by which this inverse approach can be implemented into various fields of engineering and mechanics. More importantly this approach is designed to offer an inexpensive way to accurately estimate material characteristics or properties using nondestructive techniques. While the POD-RBF inverse approach outlined in this thesis focuses primarily in application to conduction heat transfer, elasticity, and fracture mechanics, this technique is designed to be directly applicable to other realistic conditions and/or industries.
M.S.M.E.
Department of Mechanical, Materials and Aerospace Engineering;
Engineering and Computer Science
Mechanical Engineering MSME
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Cremonini, Guilherme Ernesto Serrat de Oliveira. "Aplicação do método inverso de condução de calor na avaliação de fluidos de resfriamento para têmpera." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/18/18158/tde-11052015-125002/.

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A têmpera dos aços envolve a austenitização de uma peça seguida por um resfriamento rápido para promover a formação de microestrutura martensítica. É necessário avaliar os meios de têmpera para manter o processo de têmpera sob controle. Os parâmetros mais importantes no processo de resfriamento são o coeficiente de transferência de calor e/ou o fluxo de calor entre o meio de têmpera e a peça a ser resfriada. Um dos métodos de se avaliar os meios de têmpera (meios de resfriamento) e saber o que está acontecendo dentro da peça durante o resfriamento do ponto de vista térmico é o problema inverso de condução de calor. O problema inverso de condução de calor consiste na determinação de parâmetros como fluxo de calor, taxa de resfriamento e temperatura em qualquer posição através da peça, assim como o coeficiente de transferência de calor. Esses parâmetros são obtidos a partir de medições de temperatura em um ou mais pontos dentro da peça. O escopo deste trabalho foi desenvolver um software baseado no problema inverso condução de calor para avaliar meios de resfriamento para têmpera. A validação deste código foi feita usando água, óleo de soja, óleo mineral e solução aquosa de NaNO3.
Steels quenching involves part austenitization followed by a fast cooling to promote martensitic microstructure formation. It is necessary to evaluate quenchants in order to keep the quenching process under control. The most important cooling process parameters are the heat transfer coefficient and/or the heat flux between the quenchant and the part to be cooled. One of the methods to evaluate quenchants (cooling media) and to know what is happening inside the part during the cooling in the thermal point of view is the inverse heat conduction problem. The inverse heat conduction problem consists in the determination of parameters like heat flux, cooling rate and temperature in any position across the part, as well as the heat transfer coefficient. These parameters are obtained from temperature measurements in one or more points inside the part. The scope of this work was to develop a software based in the inverse heat conduction problem in order to evaluate quenchants for quenching. The validation of this code was made using water, soybean oil, mineral oil and NaNO3 aqueous solution.
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Mansour, Salwa. "Contribution to certain physical and numerical aspects of the study of the heat transfer in a granular medium." Thesis, Rennes 1, 2015. http://www.theses.fr/2015REN1S088/document.

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L'étude du transfert de chaleur et de masse dans les milieux poreux saturés et insaturés fortement chauffés à leur surface possèdent de nombreuses applications, notamment en archéologie, en agriculture et en géothermie. La première partie de ce travail concerne l'amélioration de la méthode AHC (Accumulation de chaleur latente) qui permet de traiter le changement de phase, dans un milieu homogène : l'intervalle de changement de température au moment du changement de phase apparaît comme un paramètre important, et il doit être choisi proportionnel à la taille des mailles. Des résultats à la fois précis et lisses sont obtenus grâce à un raffinement du maillage localisé près de l'interface de changement de phase. La deuxième partie se rapporte à l'estimation des propriétés thermophysiques du sol par problème inverse à l'aide de données à la fois synthétiques et expérimentales. La méthode de Gauss-Newton avec relaxation et l'algorithme de Levenberg-Marquardt sont utilisés pour résoudre le problème inverse. Le choix de l'intervalle de température de la méthode AHC apparaît crucial : la convergence n'est obtenue parfois qu'au prix d'un enchaînement de plusieurs problèmes inverses. La troisième partie présente un modèle simple pour calculer la conductivité thermique effective d'un milieu granulaire contenant une faible quantité d'eau liquide. La forme exacte de ces ménisques est calculée à l'équilibre. Les résultats montrent un phénomène très net d'hystérésis quand on étudie la variation de la conductivité thermique effective en fonction de la quantité d'eau liquide ; un futur travail concernant un nouveau modèle insaturé, limité au cas du régime pendulaire et présenté à la fin de cette thèse, devrait pouvoir utiliser ces résultats
In this work, we are interested in studying heat and mass transfer in water saturated and unsaturated porous medium with a strong heating at the surface. Applications concerned are archaeology, agriculture and geothermal engineering. The first part of this work concerns the improvement of the AHC (Apparent Heat Capacity) method used in the numerical resolution of phase change problem in a homogeneous medium: the phase change temperature interval, over which the heat capacity varies, appears as a key parameter which must be chosen proportional to the mesh size. Accurate and smooth results are obtained thanks to a local refinement of the mesh near the phase change interface. The second part is about the estimation of the thermophysical properties of the soil by inverse problem using both synthetic and experimental data. The Damped Gauss-Newton and the Levenberg-Marquardt algorithms are used to solve the problem. In relation with the AHC method, the choice of the phase change temperature interval caused convergence problems which have been fixed by chaining many inverse problems. The obtained results show good convergence to the desired solution. The third part presents a simple model to calculate the effective thermal conductivity of a granular medium which contains a small quantity of liquid water. The exact shape of the liquid menisci between the grains is calculated at equilibrium. The effective thermal conductivity experiences a hysteresis behavior with respect to the liquid volume. A future work that concerns a new unsaturated model, restricted to the pendular regime and detailed at the end of this thesis, should be able to use this result
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Hřibová, Veronika. "Vývoj inverzní sub-doménové metody pro výpočet okrajových podmínek vedení tepla." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2015. http://www.nusl.cz/ntk/nusl-232179.

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It is very important to develop efficient but still accurate and stable numerical methods for solving heat and mass transfer processes in many industrial applications. The thesis deals with an inverse heat conduction problem which is used to compute boundary conditions (temperatures, heat flux or heat transfer coefficient). Nowadays, two approaches are often used for inverse task - sequential estimation and whole domain estimation. The main goal of this work is to develop a new approach, the so-called sub-domain method, which emphasizes advantages just as reduce disadvantages of both methods mentioned above. This approach is then tested on generated prototypic data and on data from real experiments. All methods are compared with respect to accuracy of results as well as to computational efficiency.
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Musil, Jiří. "Software pro řešení inverzních úloh přenosu tepla." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417446.

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Tato práce se zabývá vytvořením softwarového nástroje pro simulaci přenosu tepla se zaměřením na využití inverzní úlohy. Je zde popsána základní teorie inverzních úloh a přenosu tepla, na kterou navazuje odvození numerické rovnice přenosu tepla, vhodné pro počítačovou simulaci. Hlavní část práce se věnuje návrhu a samotné implementaci softwarového řešení, s ohledem jak na funkčnost, tak na uživatelskou přívětivost. Kromě výpočtového modelu, který je zodpovědný za průběh simulace, je vytvořeno také plnohodnotné uživatelské rozhraní (GUI), umožňující jednoduchou interakci s výpočtovým modelem. Závěrem práce je prezentování dosažených výsledků a jejich porovnání s reálným experimentem, stejně jako zjištění vlivu vstupních parametrů na kvalitu simulace.
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AZEGAMI, Hideyuki, Yutaro IWATA, Eiji KATAMINE, 秀幸 畔上, 侑太朗 岩田, and 英次 片峯. "放熱量最大化を目的とした非定常熱伝導場の形状最適化." 一般社団法人日本機械学会, 2008. http://hdl.handle.net/2237/21114.

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Books on the topic "Inverse heat transfer problems"

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Alifanov, O. M. Inverse heat transfer problems. Berlin: Springer-Verlag, 1994.

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Alifanov, Oleg M. Inverse Heat Transfer Problems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3.

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Alifanov, O. M. Extreme methods for solving ill-posed problems with applications to inverse heat transfer problems. New York: Begell House, 1995.

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Neto, Francisco Duarte Moura. An Introduction to Inverse Problems with Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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Orlande, Helcio R. B., 1965-, ed. Inverse heat transfer: Fundamentals and applications. New York: Taylor & Francis, 2000.

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J, Nowak A., ed. Inverse thermal problems. Southampton, UK: Computational Mechanics Publications, 1995.

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Methods for inverse heat conduction problems. New York: P. Lang, 1998.

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Ben, Blackwell, and St Clair Charles R, eds. Inverse heat conduction: Ill-posed problems. New York: Wiley, 1985.

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Inverse Stefan problems. Dordrecht: Kluwer Academic Publishers, 1997.

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Cebeci, Tuncer. Convective heat transfer. 2nd ed. Long Beach, CA: Horizons Pub., 2002.

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Book chapters on the topic "Inverse heat transfer problems"

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Alifanov, Oleg M. "Introduction." In Inverse Heat Transfer Problems, 1–2. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_1.

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Alifanov, Oleg M. "Conclusions." In Inverse Heat Transfer Problems, 329–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_10.

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Alifanov, Oleg M. "Statements and Use of Inverse Problems in Studying Heat Transfer Processes and Designing Engineering Units." In Inverse Heat Transfer Problems, 3–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_2.

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Alifanov, Oleg M. "Analysis of Statements and Solution Methods for Inverse Heat Transfer Problems." In Inverse Heat Transfer Problems, 33–69. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_3.

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Alifanov, Oleg M. "Analytical Forms of Boundary Inverse Heat Conduction Problems." In Inverse Heat Transfer Problems, 70–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_4.

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Alifanov, Oleg M. "Direct Algebraic Method of Determining Transient Heat Loads." In Inverse Heat Transfer Problems, 96–123. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_5.

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Alifanov, Oleg M. "Solution of Boundary Inverse Heat Conduction Problems by Direct Numerical Methods." In Inverse Heat Transfer Problems, 124–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_6.

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Alifanov, Oleg M. "The Extremal Formulations and Methods of Solving Inverse Heat Conduction Problems." In Inverse Heat Transfer Problems, 150–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_7.

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Alifanov, Oleg M. "Regularization of Variational Forms of Inverse Heat Conduction Problems." In Inverse Heat Transfer Problems, 192–226. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_8.

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Alifanov, Oleg M. "Iterative Regularization of Inverse Problems." In Inverse Heat Transfer Problems, 227–328. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-76436-3_9.

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Conference papers on the topic "Inverse heat transfer problems"

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Maillet, Denis. "Experimental Inverse Problems: Potentials and Limitations." In The 15th International Heat Transfer Conference. Connecticut: Begellhouse, 2014. http://dx.doi.org/10.1615/ihtc15.kn.000010.

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Orlande, Helcio R. B. "Inverse Problems in Heat Transfer: New Trends on Solution Methodologies and Applications." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-23349.

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Systematic methods for the solution of inverse problems have developed significantly during the last twenty years and have become a powerful tool for analysis and design in engineering. Inverse analysis is nowadays a common practice in which the groups involved with experiments and numerical simulation synergistically collaborate throughout the research work, in order to obtain the maximum of information regarding the physical problem under study. Inverse problems are mathematically classified as ill-posed, that is, their solutions do not satisfy either one of the requirements of existence, uniqueness or stability. The solution approaches generally consist of the reformulation of the inverse problem in terms of an approximate well-posed problem. In this paper we briefly review various approaches for the solution of inverse problems, including those based on classical regularization techniques and those based on the Bayesian statistics. Applications of inverse problems are then presented for cases of practical interest, such as the characterization of non-homogeneous materials and the prediction of the temperature field in oil pipelines.
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Okamoto, Kei, and Ben Q. Li. "Optimal Regularization Methods for Inverse Heat Transfer Problems." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56395.

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The Tikhonov regularization method has been used to find the unknown heat flux distribution along the boundary when the temperature measurements are known in the interior of a sample. Mathematically, the inverse problem is ill-posed, though physically correct, and prone to instability. This paper discusses the fundamental issues concerning the selection of optimal regularization parameters for inverse heat transfer calculations. Towards this end, a finite-element-based inverse algorithm is developed. Five different methods, that is, the maximum likelihood (ML), the ordinary cross-validation (OCV), the generalized cross-validation (GCV), the L-curve method, and the discrepancy principle, are evaluated for the purpose of determining optimal regularization parameters. An assessment of these methods is made using 1-D and 2-D inverse steady heat conduction problems where analytical solutions are available. The optimal regularization method is also compared with the Levenberg-Marquardt method for inverse heat transfer calculations. Results show that in general the Tikhonov regularization method is superior over the Levenberg-Marquardt method when the input data errors are noisy. With the appropriately determined regularization parameter, the inverse algorithm is applied to estimate the heat flux of spray cooling of a 3-D microelectronic component with an embedded heating source.
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Hsieh, C. K., and Jeou-Feng Lin. "SOLUTION OF INVERSE HEAT-CONDUCTION PROBLEMS WITH UNKNOWN INITIAL CONDITIONS." In International Heat Transfer Conference 8. Connecticut: Begellhouse, 1986. http://dx.doi.org/10.1615/ihtc8.240.

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Su, Jian, and Hua Dong. "Effects of Time Scale on Solutions of Inverse Heat Conduction Problems." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47018.

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A wide variety of inverse heat conduction problems have been studied in the last two decades for the estimation of boundary or initial conditions, thermophysical properties, geometrical parameters, or heat source intensities. In most transient heat conduction problems, the mathematical models were cast in dimensionless forms, by using a diffusion time scale. As the thermal diffusivities are usually small, the physical time scales turn to be rather long. In this way, most works show that the inverse analysis yields satisfactory results, without addressing the implications of the physical time scale. The physical time scale, in fact, influences significantly the quality of the inverse solution. We present here a unified treatment for one-dimensional, linear inverse heat conduction problems using the conjugate gradient method with an adjoint equation, and also show that there are physical limitations by the time scale on the inverse solutions.
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Cortes, Obed, Gustavo Urquiza, J. A. Hernandez, and Marco A. Cruz. "Artificial Neural Networks for Inverse Heat Transfer Problems." In Electronics, Robotics and Automotive Mechanics Conference (CERMA 2007). IEEE, 2007. http://dx.doi.org/10.1109/cerma.2007.4367685.

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LIU, JIJUN. "ON STABILITY ESTIMATE FOR A BACKWARD HEAT TRANSFER PROBLEM." In Proceedings of the International Conference on Inverse Problems. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704924_0012.

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Alencar Jr., Jose P., Helcio R. B. Orlande, and M. N. Ozisik. "A GENERALIZED COORDINATES APPROACH FOR THE SOLUTION OF INVERSE HEAT CONDUCTION PROBLEMS." In International Heat Transfer Conference 11. Connecticut: Begellhouse, 1998. http://dx.doi.org/10.1615/ihtc11.720.

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França, Francis H. R., Ofodike A. Ezekoye, and John R. Howell. "Inverse Heat Source Design Combining Radiation and Conduction Heat Transfer." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0969.

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Abstract This work investigates solutions of inverse heat source problems for combined-mode radiation and conduction. The problem consists of finding the heat source distribution in an absorbing-emitting medium that satisfies both the temperature and the heat flux distributions prescribed on the surfaces of a two-dimensional rectangular enclosure. The participating medium is gray, the walls are gray emitters and absorbers, and all the thermal properties are uniform. The combined heat transfer mode problem is described by a system of non-linear equations, which is solved by an iterative procedure. At each iteration a system of linear equations is solved, but, as often occurs in inverse problem, the system of equations is ill-conditioned, and the number of equations and the number of unknowns are not necessarily the same. The solution is obtained by regularizing the system by truncated singular value decomposition (TSVD). It is also discussed how to impose additional conditions to satisfy physical constraints that govern the heat source itself.
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Battaglia, Jean-Luc, O. Quemener, and A. Neveu. "A modal approach to solve linear inverse thermal problems. Heat flux estimation in a tribology process." In International Heat Transfer Conference 12. Connecticut: Begellhouse, 2002. http://dx.doi.org/10.1615/ihtc12.350.

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Reports on the topic "Inverse heat transfer problems"

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Gordon, Howard R. Inverse Problems in Hydrologic Radiative Transfer. Fort Belvoir, VA: Defense Technical Information Center, September 1999. http://dx.doi.org/10.21236/ada629879.

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Gordon, Howard R. Inverse Problems in Hydrologic Radiative Transfer. Fort Belvoir, VA: Defense Technical Information Center, September 2002. http://dx.doi.org/10.21236/ada626577.

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Martinez, Matthew, and Olivia Heiner. Conditional Generative Adversarial Networks for Solving Heat Transfer Problems. Office of Scientific and Technical Information (OSTI), September 2020. http://dx.doi.org/10.2172/1673172.

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Glass, M. W. CHAPARRAL: A library for solving large enclosure radiation heat transfer problems. Office of Scientific and Technical Information (OSTI), August 1995. http://dx.doi.org/10.2172/120875.

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Farnsworth, R. K., D. W. Faletti, and M. J. Budden. Application of the TEMPEST computer code to canister-filling heat transfer problems. Office of Scientific and Technical Information (OSTI), March 1988. http://dx.doi.org/10.2172/6960737.

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Wilson, D. (Conference on free and moving boundary problems as related to heat transfer). Office of Scientific and Technical Information (OSTI), July 1987. http://dx.doi.org/10.2172/6821504.

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Schwab, C., and I. Babuska. Subspace Correction Methods for the Iterative Solution of Hierarchic Plate Models. 1: Heat Transfer Problems. Fort Belvoir, VA: Defense Technical Information Center, April 1994. http://dx.doi.org/10.21236/ada285712.

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Chan, B. Improved modeling and numerics to solve two-dimensional elliptic fluid flow and heat transfer problems. Office of Scientific and Technical Information (OSTI), May 1986. http://dx.doi.org/10.2172/5579622.

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Brown, Garry L. Basic Research Problems in Mechanics and Heat Transfer for Integrally Woven, Transpiration Cooled Ceramic Composite Turbine Engine Combustor Walls. Fort Belvoir, VA: Defense Technical Information Center, June 2003. http://dx.doi.org/10.21236/ada414988.

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McHugh, P. R. An investigation of Newton-Krylov algorithms for solving incompressible and low Mach number compressible fluid flow and heat transfer problems using finite volume discretization. Office of Scientific and Technical Information (OSTI), October 1995. http://dx.doi.org/10.2172/130602.

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