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Journal articles on the topic 'Inverse heat transfer problems'

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Published: 10 December 2022
Last updated: 28 January 2023

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Popov, Viktor. "Direct numerical solution of inverse heat transfer problems (ihtp)." Актуальные направления научных исследований XXI века: теория и практика 2, no. 4 (October 10, 2014): 271–76. http://dx.doi.org/10.12737/4758.

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12

Verzhbitskiy, Mark Andreevich. "INVERSE PROBLEMS OF DETERMINING BOUNDARY REGIMES." Yugra State University Bulletin 13, no. 3 (September 15, 2017): 51–59. http://dx.doi.org/10.17816/byusu201713351-59.

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In the article we consider inverse problems for convective heat transfer models. We determine un- knowns occurring in the boundary conditions together with a solution to a parabolic second order system. The overdetermination conditions are integrals of a solution with weight. The existence and uniqueness theo- rems of solutions to this inverse problem is established.
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13

Yu, Yang, Xiao Chuan Luo, and Yuan Wang. "Application of Inverse Heat Conduction Problems in the Slab Solidification Process." Applied Mechanics and Materials 395-396 (September 2013): 1135–41. http://dx.doi.org/10.4028/www.scientific.net/amm.395-396.1135.

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The surface heat transfer coefficient is obtained by the calculation of water-flowing in the second cooling zone of continuous casting; the parameters of this formula are determined by the engineering experiment methods. This paper adopts a new method-numerical calculation method to obtain these parameters. Firstly, the paper uses the method of solving inverse heat conduction problems to calculate the surface heat flux and the surface heat transfer coefficient. Secondly, by using the least square method, the parameters in the formula between the surface heat transfer coefficient and water-flowing are identified. Finally, a plant steel data is used to do some simulation experiments. The results of this simulation prove this numerical method feasibility and effectiveness.
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14

Chen, Han-Taw, and Xin-Yi Wu. "Estimation of Heat Transfer Coefficient in Two-Dimensional Inverse Heat Conduction Problems." Numerical Heat Transfer, Part B: Fundamentals 50, no. 4 (August 2006): 375–94. http://dx.doi.org/10.1080/10407790600859791.

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15

Mohebbi, Farzad, and Mathieu Sellier. "Estimation of Functional Form of Time-Dependent Heat Transfer Coefficient Using an Accurate and Robust Parameter Estimation Approach: An Inverse Analysis." Energies 14, no. 16 (August 18, 2021): 5073. http://dx.doi.org/10.3390/en14165073.

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This paper presents a numerical method to address function estimation problems in inverse heat transfer problems using parameter estimation approach without prior information on the functional form of the variable to be estimated. Using an inverse analysis, the functional form of a time-dependent heat transfer coefficient is estimated efficiently and accurately. The functional form of the heat transfer coefficient is assumed unknown and the inverse heat transfer problem should be treated using a function estimation approach by solving sensitivity and adjoint problems during the minimization process. Based on proposing a new sensitivity matrix, however, the functional form can be estimated in an accurate and very efficient manner using a parameter estimation approach without the need for solving the sensitivity and adjoint problems and imposing extra computational cost, mathematical complexity, and implementation efforts. In the proposed sensitivity analysis scheme, all sensitivity coefficients can be computed in only one direct problem solution at each iteration. In this inverse heat transfer problem, the body shape is irregular and meshed using a body-fitted grid generation method. The direct heat conduction problem is solved using the finite-difference method. The steepest-descent method is used as a minimization algorithm to minimize the defined objective function and the termination of the minimization process is carried out based on the discrepancy principle. A test case with three different functional forms and two different measurement errors is considered to show the accuracy and efficiency of the used inverse analysis.
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16

Golsorkhi, Nasibeh Asa, and Hojat Ahsani Tehrani. "Levenberg-marquardt Method For Solving The Inverse Heat Transfer Problems." Journal of Mathematics and Computer Science 13, no. 04 (December 15, 2014): 300–310. http://dx.doi.org/10.22436/jmcs.013.04.03.

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17

Barochkin, Aleksei, Vadim Mizonov, Vladimir Zhukov, and Evgeny Barochkin. "MATRIX APPROACH TO SOLVE THE INVERSE PROBLEMS OF HEAT TRANSFER." JP Journal of Heat and Mass Transfer 25 (January 1, 2022): 127–35. http://dx.doi.org/10.17654/0973576322008.

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18

Dulikravich, George S., Brian H. Dennis, Daniel P. Baker, Stephen R. Kennon, Helcio R. B. Orlande, and Marcelo J. Colaco. "Inverse Problems in Aerodynamics, Heat Transfer, Elasticity and Materials Design." International Journal of Aeronautical and Space Sciences 13, no. 4 (December 30, 2012): 405–20. http://dx.doi.org/10.5139/ijass.2012.13.4.405.

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19

Bai, Qiang, and Yasunobu Fujita. "A finite element analysis for inverse heat conduction problems." Heat Transfer - Japanese Research 26, no. 6 (1997): 345–59. http://dx.doi.org/10.1002/(sici)1520-6556(1997)26:6<345::aid-htj1>3.0.co;2-w.

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20

Mayeli, Peyman, and Mehdi Nikfar. "Temperature identification of a heat source in conjugate heat transfer problems via an inverse analysis." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 10 (October 7, 2019): 3994–4010. http://dx.doi.org/10.1108/hff-05-2018-0193.

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Purpose The present study aims to perform inverse analysis of a conjugate heat transfer problem including conduction and forced convection via the quasi-Newton method. The inverse analysis is defined for a heat source that is surrounded by a solid medium which is exposed to a free stream in external flow. Design/methodology/approach The objective of the inverse design problem is finding temperature distribution of the heat source as thermal boundary condition to establish a prescribed temperature along the interface of solid body and fluid. This problem is a simplified version of thermal-based ice protection systems in which the formation of ice is avoided by maintaining the interface of fluid and solid at a specified temperature. Findings The effects of the different pertinent parameters such as Reynolds number, interface temperature and thermal conductivity ratio of fluid and solid mediums are analyzed. Originality/value This paper fulfils the analysis to study how thermal based anti-icing system can be used with different heat source shapes.
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21

Mohebbi, Farzad. "Function Estimation in Inverse Heat Transfer Problems Based on Parameter Estimation Approach." Energies 13, no. 17 (August 26, 2020): 4410. http://dx.doi.org/10.3390/en13174410.

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A new sensitivity analysis scheme is presented based on explicit expressions for sensitivity coefficients to estimate timewise varying heat flux in heat conduction problems over irregular geometries using the transient readings of a single sensor. There is no prior information available on the functional form of the unknown heat flux; hence, the inverse problem is regarded as a function estimation problem and sensitivity and adjoint problems are involved in the solution of the inverse problem to recover the unknown heat flux. However, using the proposed sensitivity analysis scheme, one can compute all sensitivity coefficients explicitly in only one direct problem solution at each iteration without the need for solving the sensitivity and adjoint problems. In other words, the functional form of the unknown heat flux can be numerically estimated by using the parameter estimation approach. In this method, the irregular shape of heat-conducting body is meshed using the boundary-fitted grid generation (elliptic) method. Explicit expressions are given to compute the sensitivity coefficients efficiently and the steepest-descent method is used as the minimization method to minimize the objective function and reach the solution. Three test cases are presented to confirm the accuracy and efficiency of the proposed inverse analysis.
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22

Liu, Tang Wei, He Hua Xu, Xue Lin Qiu, and Xiao Bin Shi. "Multiscale Parameter Identification Method for Three Dimension Steady Heat Transfer Model of Composite Materials." Advanced Materials Research 706-708 (June 2013): 152–57. http://dx.doi.org/10.4028/www.scientific.net/amr.706-708.152.

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In this paper, for heat conductivity identification of three dimension steady heat transfer model of composite materials, a new hybrid Tikhonov regularization mixed multiscale finite-element method is present. First the mathematical models of the forward and the coefficient inverse problems are discussed. Then the forward model is solved by mixed multiscale FEM which utilizes the effects of fine-scale heterogeneities through basis functions formulation computed from local heat transfer problems. At last the numerical approximation of inverse coefficient problem is obtained by Tikhonov regularization method.
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23

Alifanov, Oleg M. "Inverse problems in identification and modeling of thermal processes: Russian contributions." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 3 (March 6, 2017): 711–28. http://dx.doi.org/10.1108/hff-03-2016-0099.

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Purpose The main purpose of this study, reflecting mainly the content of the authors’ plenary lecture, is to make a brief overview of several approaches developed by the author and his colleagues to the solution to ill-posed inverse heat transfer problems (IHTPs) with their possible extension to a wider class of inverse problems of mathematical physics and, most importantly, to show the wide possibilities of this methodology by examples of aerospace applications. In this regard, this study can be seen as a continuation of those applications that were discussed in the lecture. Design/methodology/approach The application of the inverse method was pre-tested with experimental investigations on a special test equipment in laboratory conditions. In these studies, the author used the solution to the nonlinear inverse problem in the conjugate (conductive and convective) statement. The corresponding iterative algorithm has been developed and tested by a numerical and experimental way. Findings It can be stated that the theory and methodology of solving IHTPs combined with experimental simulation of thermal conditions is an effective tool for various fundamental and applied research and development in the field of heat and mass transfer. Originality/value With the help of the developed methods of inverse problems, the investigation was conducted for a porous cooling with a gaseous coolant for heat protection of the re-entry vehicle in the natural environment of hypersonic flight. Moreover, the analysis showed that the inverse methods can make a useful contribution to the study of heat transfer at the surface of a solid body under the influence of the hypersonic heterogeneous (dusty) gas stream and in many other aerospace applications.
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24

Moutsoglou, A. "An Inverse Convection Problem." Journal of Heat Transfer 111, no. 1 (February 1, 1989): 37–43. http://dx.doi.org/10.1115/1.3250655.

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The nature of inverse problems in convective environments is investigated. The ill-posed quality inherent in inverse problems is verified for free convection laminar flow in a vertical channel. A sequential function specification algorithm is adapted for the semiparabolic system of equations that governs the flow and heat transfer in the channel. The procedure works very well in alleviating the ill-posed symptoms of inverse problems. The performance of a simple smoothing routine is also tested for the prescribed conditions.
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25

Xu, R., and G. F. Naterer. "Controlling Phase Interface Motion in Inverse Heat Transfer Problems with Solidification." Journal of Thermophysics and Heat Transfer 17, no. 4 (October 2003): 488–97. http://dx.doi.org/10.2514/2.6808.

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26

PARK∗, H. M., and O. Y. CHUNG. "COMPARISON OF VARIOUS CONJUGATE GRADIENT METHODS FOR INVERSE HEAT TRANSFER PROBLEMS." Chemical Engineering Communications 176, no. 1 (December 1999): 201–28. http://dx.doi.org/10.1080/00986449908912154.

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27

Alekseev, G. V. "Coefficient inverse extremum problems for stationary heat and mass transfer equations." Computational Mathematics and Mathematical Physics 47, no. 6 (June 2007): 1007–28. http://dx.doi.org/10.1134/s0965542507060115.

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28

Balakovskii, S. L. "Solution of inverse heat transfer problems by a two-model method." Journal of Engineering Physics 57, no. 3 (September 1989): 1118–22. http://dx.doi.org/10.1007/bf00870830.

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29

Duda, Piotr. "A general method for solving transient multidimensional inverse heat transfer problems." International Journal of Heat and Mass Transfer 93 (February 2016): 665–73. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2015.09.029.

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30

Fernandes, Ana Paula, Marcelo Braga dos Santos, and Gilmar Guimarães. "An analytical transfer function method to solve inverse heat conduction problems." Applied Mathematical Modelling 39, no. 22 (November 2015): 6897–914. http://dx.doi.org/10.1016/j.apm.2015.02.012.

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31

Chen, Han-Taw, and Xin-Yi Wu. "Investigation of heat transfer coefficient in two-dimensional transient inverse heat conduction problems using the hybrid inverse scheme." International Journal for Numerical Methods in Engineering 73, no. 1 (2007): 107–22. http://dx.doi.org/10.1002/nme.2059.

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32

Zabaras, N., S. Mukherjee, and O. Richmond. "An Analysis of Inverse Heat Transfer Problems With Phase Changes Using an Integral Method." Journal of Heat Transfer 110, no. 3 (August 1, 1988): 554–61. http://dx.doi.org/10.1115/1.3250528.

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This paper provides a methodology for the solution of certain inverse heat transfer problems with phase changes. It is aimed particularly at the design of casting processes. The idea is to use the inverse method to calculate the boundary flux history that will achieve the velocities and fluxes at the freezing front that are needed to control liquid feeding to the front, as well as yield the desired cast structure. The proposed method also can be applied to predict the freezing front motion using temperature measurements at internal points. A boundary element analysis with constant elements is used here in conjunction with Beck’s sensitivity analysis. The accuracy of the method is illustrated through one-dimensional numerical examples. It is demonstrated that, by using an integral formulation, one can extend all of the current methods for solving inverse heat conduction problems with stationary boundaries, to inverse Stefan problems. Such problems are of great technological significance.
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33

Zhang, J., and M. A. Delichatsios. "Determination of the convective heat transfer coefficient in three-dimensional inverse heat conduction problems." Fire Safety Journal 44, no. 5 (July 2009): 681–90. http://dx.doi.org/10.1016/j.firesaf.2009.01.004.

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34

Mo, Dongchuan, Jiu Luo, Qingqing Yang, Shushen Lyu, and Yi Heng. "Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer." Chinese Science Bulletin 65, no. 18 (December 13, 2019): 1857–74. http://dx.doi.org/10.1360/tb-2019-0352.

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35

Kim, Jeong Tae, Chae Ho Lim, Jeong Kil Choi, and Young Kook Lee. "A Method for the Evaluation of Heat Transfer Coefficient by Optimization Algorithm." Solid State Phenomena 124-126 (June 2007): 1637–40. http://dx.doi.org/10.4028/www.scientific.net/ssp.124-126.1637.

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New method for evaluation of heat transfer coefficient is proposed. In general, many researchers have been studied about inverse problem in order to calculate the heat transfer coefficient on three-dimensional heat conduction problem. But they can get the time-dependent heat transfer coefficient only through inverse problem. In order to acquire temperature-dependent heat transfer coefficient, it requires much time for numerous repetitive calculation and inconvenient manual modification. In order to solve these problems, we are using the SQP(Sequential Quadratic Programming) as an optimization algorithm. When the temperature history is given by experiment, the optimization algorithm can evaluate the temperature-dependent heat transfer coefficient with automatic repetitive calculation until difference between calculated temperature history and experimental ones is minimized. Finally, temperature-dependent heat transfer coefficient evaluated by developed program can used on the real heat treatment process of casting product.
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36

Yang, Ai-Min, Yang Han, Yu-Zhu Zhang, Li-Ting Wang, Di Zhang, and Xiao-Jun Yang. "On local fractional Volterra integro-differential equations in fractal steady heat transfer." Thermal Science 20, suppl. 3 (2016): 789–93. http://dx.doi.org/10.2298/tsci16s3789y.

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In this paper we address the inverse problems for the fractal steady heat transfer described by the local fractional linear and non-linear Volterra integro-differential equations. The Volterra integro-differential equations are presented for investigating the fractal heat-transfer.
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37

DEMCHENKO, V. F., V. O. PAVLYK, U. DILTHEY, I. V. KRIVTSUN, O. B. LISNYI, and V. V. NAKVASYUK. "Problems of heat, mass and charge transfer with discontinuous solutions." European Journal of Applied Mathematics 22, no. 4 (March 4, 2011): 365–80. http://dx.doi.org/10.1017/s095679251100012x.

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Typical problems with solutions characterised by first-kind discontinuities occurring at interfaces of layered inhomogeneous media are considered with respect to second-order differential equations in partial derivatives. Direct, inverse and mixed types of solution discontinuities are considered. Presented are generalised formulations of problems under consideration, having discontinuous solutions and allowing a uniform description of the processes of heat, mass and charge transfer in multilayer media. Homogeneous difference schemes built on the basis of generalised solutions, which are illustrated by test problems with analytical solutions, are given.
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38

Słota, Damian. "Identification of the heat transfer coefficient in phase change problems." Archives of Thermodynamics 31, no. 1 (March 1, 2010): 61–78. http://dx.doi.org/10.2478/v10173-010-0004-y.

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Identification of the heat transfer coefficient in phase change problemsIn this paper, an algorithm will be presented that enables solving the two-phase inverse Stefan problem, where the additional information consists of temperature measurements in selected points of the solid phase. The problem consists in the reconstruction of the function describing the heat transfer coefficient, so that the temperature in the given points of the solid phase would differ as little as possible from the predefined values. The featured examples of calculations show a very good approximation of the exact solution and stability of the algorithm.
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39

Wang, C.-C., and C.-K. Chen. "Three-dimensional inverse heat transfer analysis during the grinding process." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 216, no. 2 (February 1, 2002): 199–212. http://dx.doi.org/10.1243/0954406021525133.

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A three-dimensional inverse analysis is adopted to estimate the unknown conditions on the workpiece surface during a grinding process. The numerical method (linear least-squares error method) requires just one iteration and can solve the inverse problems given only the temperature information at a finite number of locations beneath the working surface within a specified time domain. Results show that the heat source into the grinding zone and the heat transfer coefficient in the cooling region can be obtained by the proposed method even when under the influence of measured errors. Furthermore, it is found that the estimated heat transfer coefficient is more sensitive than the heat source to different measured errors and depths. Analyses of the temperature, heat distribution and heat transfer coefficient of the workpiece will help prevent the occurrence of thermal damage to the workpiece, which are caused by the high temperatures generated during the grinding process.
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40

Marquardt, Wolfgang, and Hein Auracher. "An observer-based solution of inverse heat conduction problems." International Journal of Heat and Mass Transfer 33, no. 7 (July 1990): 1545–62. http://dx.doi.org/10.1016/0017-9310(90)90050-5.

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41

Madoliat, Reza, and Ahmad Ghasemi. "Inverse finite element formulations for transient heat conduction problems." Heat and Mass Transfer 44, no. 5 (May 1, 2007): 569–77. http://dx.doi.org/10.1007/s00231-007-0270-7.

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42

Pyatkov, S. G. "On Evolutionary Inverse Problems for Mathematical Models of Heat and Mass Transfer." Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 14, no. 1 (2021): 5–25. http://dx.doi.org/10.14529/mmp210101.

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43

Nenarokomov, Aleksey V., Evgeniy V. Chebakov, Dmitry L. Reviznikov, Alena V. Morzhukhina, Ilia A. Nikolichev, Irina V. Krainova, and Dmitry M. Titov. "Attitude Determination System of Spacecraft Based on the Inverse Heat Transfer Problems." AIAA Journal 60, no. 4 (April 2022): 2013–27. http://dx.doi.org/10.2514/1.j059703.

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44

Bilchenko, G. G., and N. G. Bilchenko. "On computational experiments in some inverse problems of heat and mass transfer." IOP Conference Series: Materials Science and Engineering 158 (November 2016): 012021. http://dx.doi.org/10.1088/1757-899x/158/1/012021.

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45

Orlande, Helcio R. B. "Inverse Problems in Heat Transfer: New Trends on Solution Methodologies and Applications." Journal of Heat Transfer 134, no. 3 (2012): 031011. http://dx.doi.org/10.1115/1.4005131.

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46

Taler, Jan, and Marcin Zborowski. "SOLUTION OF THE INVERSE PROBLEMS IN HEAT TRANSFER AND THERMAL STRESS ANALYSIS." Journal of Thermal Stresses 21, no. 5 (July 1998): 563–79. http://dx.doi.org/10.1080/01495739808956163.

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47

Alifanov, O. M. "International conference ?identification of dynamic systems and inverse problems of heat transfer?" Journal of Engineering Physics and Thermophysics 65, no. 6 (December 1993): 1147–48. http://dx.doi.org/10.1007/bf00861933.

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48

Howell, J. R. "The Monte Carlo Method in Radiative Heat Transfer." Journal of Heat Transfer 120, no. 3 (August 1, 1998): 547–60. http://dx.doi.org/10.1115/1.2824310.

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The use of the Monte Carlo method in radiative heat transfer is reviewed. The review covers surface-surface, enclosure, and participating media problems. Discussion is included of research on the fundamentals of the method and on applications to surface-surface interchange in enclosures, exchange between surfaces with roughness characteristics, determination of configuration factors, inverse design, transfer through packed beds and fiber layers, participating media, scattering, hybrid methods, spectrally dependent problems including media with line structure, effects of using parallel algorithms, practical applications, and extensions of the method. Conclusions are presented on needed future work and the place of Monte Carlo techniques in radiative heat transfer computations.
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49

Shahnazari, M. R., F. Roohi Shali, A. Saberi, and M. H. Moosavi. "A New Hybrid Method for Solving Inverse Heat Conduction Problems." International Journal of Mechanics 15 (September 6, 2021): 151–58. http://dx.doi.org/10.46300/9104.2021.15.17.

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Solving the inverse problems, especially in the field of heat transfer, is one of the challenges of engineering due to its importance in industrial applications. It is well-known that inverse heat conduction problems (IHCPs) are severely ill-posed, which means that small disturbances in the input may cause extremely large errors in the solution. This paper introduces an accurate method for solving inverse problems by combining Tikhonov's regularization and the genetic algorithm. Finding the regularization parameter as the decisive parameter is modelled by this method, a few sample problems were solved to investigate the efficiency and accuracy of the proposed method. A linear sum of fundamental solutions with unknown constant coefficients assumed as an approximated solution to the sample IHCP problem and collocation method is used to minimize residues in the collocation points. In this contribution, we use Morozov's discrepancy principle and Quasi-Optimality criterion for defining the objective function, which must be minimized to yield the value of the optimum regularization parameter.
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50

Haji-Sheikh, A., and F. P. Buckingham. "Multidimensional Inverse Heat Conduction Using the Monte Carlo Method." Journal of Heat Transfer 115, no. 1 (February 1, 1993): 26–33. http://dx.doi.org/10.1115/1.2910662.

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The Monte Carlo method is used to solve inverse heat conduction problems when the surface temperature is spatial and time dependent. The standard random walk is modified to deal with curved boundaries. The proposed random walk has all the characteristics of the floating random walk, except its step size is small. This is a uniquely flexible method with excellent accuracy and it is computationally fast. The method is used to solve one- and three-dimensional heat conduction problems and the results are presented. A procedure is described to improve the accuracy of the solution, then used to calculate heat transfer from a cylindrical surface cooled by a stream of air.
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