Relevant bibliographies by topics / Heat conduction with variable coefficient

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Heat conduction with variable coefficient'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Heat conduction with variable coefficient"

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Kartashov, E. M. "Heat Conduction at a Variable Heat-Transfer Coefficient." High Temperature 57, no. 5 (2019): 663–70. http://dx.doi.org/10.1134/s0018151x19050079.

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LI, MING, XIANG-TUAN XIONG, and YAN LI. "METHOD OF FUNDAMENTAL SOLUTION FOR AN INVERSE HEAT CONDUCTION PROBLEM WITH VARIABLE COEFFICIENTS." International Journal of Computational Methods 10, no. 02 (2013): 1341009. http://dx.doi.org/10.1142/s0219876213410090.

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In this paper, we consider an inverse heat conduction problem with variable coefficient a(t). In many practical situations such as an on-line testing, we cannot know the initial condition for example because we have to estimate the problem for the heat process which was already started. Based on the method of fundamental solutions, we give a numerical scheme for solving the reconstruction problem. Since the governing equation contains variable coefficients, modified method of fundamental solutions was used to solve this kind of ill-posed problems. Some numerical examples are given for verifyin
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Yang, Kai, Xiao-Wei Gao, and Yun-Fei Liu. "Using analytical expressions in radial integration BEM for variable coefficient heat conduction problems." Engineering Analysis with Boundary Elements 35, no. 10 (2011): 1085–89. http://dx.doi.org/10.1016/j.enganabound.2011.04.003.

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Xia, Yinhong. "Approximate solution for fractional Burgers equation with variable coefficient using Daftardar-Gejji-Jafaris method." Thermal Science 22, no. 4 (2018): 1607–11. http://dx.doi.org/10.2298/tsci1804607x.

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A fractional Burgers equation with variable coefficients is studied, which can describe heat conduction in nanomaterials with intermittent property. The equation is solved analytically by Daftardar-Gejji-Jafaris method.
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You, Jiang, Huijun Feng, Lingen Chen, and Zhihui Xie. "Constructal Optimization for Cooling a Non-Uniform Heat Generating Radial-Pattern Disc by Conduction." Entropy 20, no. 9 (2018): 685. http://dx.doi.org/10.3390/e20090685.

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A heat conduction model in a radial-pattern disc by considering non-uniform heat generation (NUHG) is established in this paper. A series of high conductivity channels (HCCs) are attached on the rim of the disc and extended to its center. Constructal optimizations of the discs with constant and variable cross-sectional HCCs are carried out, respectively, and their maximum temperature differences (MTDs) are minimized based on analytical method and finite element method. Besides, the influences of the NUHG coefficient, HCC number and width coefficient on the optimal results are studied. The resu
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He, Tao, Xi Qun Lu, and Yi Bin Guo. "Analysis of the Heat Transfer Coefficients on the Top of a Marine Diesel Piston Using the Inverse Heat Conduction Method." Advanced Materials Research 291-294 (July 2011): 1657–61. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.1657.

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An efficient method utilizing the concept of inverse heat conduction is presented for the thermal analysis of pistons based on application to the piston head of a marine diesel engine. An inverse heat conduction problem is established in the form of an optimization problem. In the optimization problem, the convection heat transfer coefficient（HTC）on the top side of the piston is defined as the design variable, while the error between the measured and analysed temperatures is defined as objective function. For the optimization, an axi-symmetrical finite element conduction model is presented. Th
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Yang, Dong-Sheng, Ting-Yi Chen, Jing Ling, et al. "Solving the multi-domain variable coefficient heat conduction problem with heat source by virtual boundary meshfree Galerkin method." International Journal of Heat and Mass Transfer 103 (December 2016): 435–42. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.07.056.

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Zhang, Hongwu, and Xiaoju Zhang. "Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient." OALib 02, no. 04 (2015): 1–11. http://dx.doi.org/10.4236/oalib.1101501.

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RuiMa, global. "The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient." Journal of Partial Differential Equations 34, no. 3 (2021): 258–67. http://dx.doi.org/10.4208/jpde.v34.n3.4.

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Chen, Xiuyun, Xiaomeng Yin, Kunpeng Li, Ruhui Cheng, Yanming Xu, and Wei Zhang. "Subdivision Surface-Based Isogeometric Boundary Element Method for Steady Heat Conduction Problems with Variable Coefficient." Computer Modeling in Engineering & Sciences 129, no. 1 (2021): 323–39. http://dx.doi.org/10.32604/cmes.2021.016794.

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Dissertations / Theses on the topic "Heat conduction with variable coefficient"

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Al-Jawary, Majeed Ahmed Weli. "The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients." Thesis, Brunel University, 2012. http://bura.brunel.ac.uk/handle/2438/6449.

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The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least for problems with constant coefficients) of reducing a BVP for a linear partial differential equation (PDE) defined in a domain to an integral equation defined on the boundary, leading to a simplified discretisation process with boundary elements only. On the other hand, the coefficients in the mathematical model of a physical problem typically correspond to the material parameters of the problem. In many physical problems, the governing equa
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Macbeth, Tyler James. "Conjugate Heat Transfer and Average Versus Variable Heat Transfer Coefficients." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5801.

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An average heat transfer coefficient, h_bar, is often used to solve heat transfer problems. It should be understood that this is an approximation and may provide inaccurate results, especially when the temperature field is of interest. The proper method to solve heat transfer problems is with a conjugate approach. However, there seems to be a lack of clear explanations of conjugate heat transfer in literature. The objective of this work is to provide a clear explanation of conjugate heat transfer and to determine the discrepancy in the temperature field when the interface boundary condition is
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Domeij, Bäckryd Rebecka. "Simulation of Heat Transfer on a Gas Sensor Component." Thesis, Linköping University, Department of Mathematics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-131.

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<p>Gas sensors are today used in many different application areas, and one growing future market is battery operated sensors. As many gas sensor components are heated, one major limit of the operation time is caused by the power dissipated as heat. AppliedSensor is a company that develops and produces gas sensor components, modules and solutions, among which battery operated gas sensors are one targeted market.</p><p>The aim of the diploma work has been to simulate the heat transfer on a hydrogen gas sensor component and its closest surroundings consisting of a carrier mounted on a printed cir
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Bellerová, Hana. "Rozvoj inverzních úloh vedení tepla se zaměřením na velmi rychlé procesy v mikroskopických měřítcích." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2011. http://www.nusl.cz/ntk/nusl-233976.

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The inverse heat conduction task is solved to determine boundary condition of the heat equation. This work deals with the ways how to increase the accuracy of the results obtained by solving inverse task based on the Beck sequential algorithm. The work is focused on the boundary condition changing very fast. This boundary condition is determinable with difficulty. It is shown that the placement and the type of the thermocouple play major role in accuracy of the calculation. The frequency of measuring and the discriminability of used devices also play a role as well as the setup of parameters i
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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
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Zajíček, Václav. "Vytápění bytového domu." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2019. http://www.nusl.cz/ntk/nusl-392215.

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The thesis is composed of three parts - theoretical, computational and a project part. The theoretical part deals with heat sharing through conduction, flow and radiation. The computational part is focused on the overall calculation of the heating system to operate smoothly and reliably. Three gas condensing boilers are designed as a source of heat. The heating of the water is solved as a reservoir. It's source of heat is one gas condensation boiler. The project part contains a technical report and the project documentation on the stage of the implementation dossier.
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Ondroušková, Jana. "Rozvoj inverzních úloh vedení tepla řešených s využitím optimalizačních postupů a vysokého stupně paralelizace." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2015. http://www.nusl.cz/ntk/nusl-234338.

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In metallurgy it is important to know a cooling efficiency of a product as well as cooling efficiency of working rolls to maximize the quality of the product and to achieve the long life of working rolls. It is possible to examine this cooling efficiency by heat transfer coefficients and surface temperatures. The surface temperature is hardly measured during the cooling. It is better to compute it together with heat transfer coefficient by inverse heat conduction problem. The computation is not easy and it uses estimated values which are verified by direct heat conduction problem. The time-con
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Luchesi, Vanda Maria. "Estudo teórico da condução de calor e desenvolvimento de um sistema para a avaliação de fluidos de corte em usinagem." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/18/18145/tde-22072011-152531/.

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Em decorrência ao grande crescimento e evolução dos processos de usinagem e a demanda para adequação ambiental, novos fluidos de corte tem sido aplicados. Uma comprovação de sua eficiência em refrigerar a peça, e a ferramenta melhorando a produtividade do processo ainda é necessária. O presente trabalho propõe o estudo e o desenvolvimento de um sistema para avaliar a eficácia de fluidos de corte em operações de usinagem. Inicia-se com uma abordagem matemática da modelagem do processo de dissipação de calor em operações de usinagem. Em seguida prossegue-se com uma investigação de diferentes man
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Sartori, Ana Paola. "Desenvolvimento e caracterização de compósitos sanduíche para isolamento térmico." reponame:Repositório Institucional da UCS, 2009. https://repositorio.ucs.br/handle/11338/453.

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Um painel sanduíche consiste essencialmente em duas faces, podendo inclusive possuir reforços metálicos e um núcleo formado normalmente por um polímero celular. As faces deste tipo de painel podem estar unidas por um adesivo estrutural, ou por espuma rígida de poliuretano (PU) injetado diretamente sobre os substratos, quando a união ocorrerá naturalmente. A propriedade de maior relevância que o painel sanduíche deve ter para o transporte de cargas congeladas (0ºC a -30ºC) ou refrigeradas (7ºC a 1ºC) é a condutividade térmica (k). Dentro deste contexto o objetivo deste trabalho foi propor e car
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Vaníček, Jan. "Termomechanický model pneumatiky." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-445170.

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This diploma thesis is about thermomechanics of passenger car tires. The research part dealing with existing tire models is followed by the practical part. The practical part is based on the designs of thermomechanical models. The first model determines a dependence of temperature on the air pressure inside a tire when a temperature changes. The second thermomechanical model captures all the heat fluxes which affect a tire while a vehicle is in motion. The third thermomechanical model calculates temperatures of parts of the tire during driving tests. All models are programmed in MATLAB.
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Books on the topic "Heat conduction with variable coefficient"

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Zhong, Yi. Efficient reformulation of HOTFGM: Heat conduction with variable thermal conductivity. National Aeronautics and Space Administration, Glenn Research Center, 2002.

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1951-, Pindera M. J., and NASA Glenn Research Center, eds. Efficient reformulation of HOTFGM: Heat conduction with variable thermal conductivity. National Aeronautics and Space Administration, Glenn Research Center, 2002.

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Book chapters on the topic "Heat conduction with variable coefficient"

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Lekomtsev, Andrei. "The Method of Fractional Steps for the Numerical Solution of a Multidimensional Heat Conduction Equation with Delay for the Case of Variable Coefficient of Heat Conductivity." In Differential and Difference Equations with Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56323-3_9.

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Bonnet, Marc, Huy Duong Bui, Hubert Maigre, and Jacques Planchard. "Identification of Heat Conduction Coefficient: Application to Nondestructive Testing." In Inverse Problems in Engineering Mechanics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-52439-4_47.

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Vatulyan, A. O., and S. A. Nesterov. "On Coefficient Inverse Problems of Heat Conduction for Functionally Graded Materials." In Trends in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-49763-7_20.

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Kadam, Anil R., Vijaykumar Hindasageri, and G. N. Kumar. "Estimation of Heat Transfer Coefficient and Reference Temperature in Jet Impingement Using Solution to Inverse Heat Conduction Problem." In Numerical Heat Transfer and Fluid Flow. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1903-7_5.

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Maillet, D., A. Degiovanni, and S. André. "Estimation of a Space-Varying Heat Transfer Coefficient or Interface Resistance by Inverse Conduction." In Thermal Conductivity 23. CRC Press, 2021. http://dx.doi.org/10.1201/9781003210719-10.

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Mikhailov, S. E., and C. F. Portillo. "A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer Problem with Variable Coefficient." In Integral Methods in Science and Engineering, Volume 1. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59384-5_19.

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Kassab, A. J., and C. K. Hsieh. "Application of the Complex Variable Boundary Element Method to the Solution of Heat Conduction Problems in Doubly and Multiply Connected Domains." In Boundary Elements XIII. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3696-9_29.

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"Steady Heat Conduction with Variable Heat Conductivity." In Introduction to Finite Element, Boundary Element, and Meshless Methods. ASME Press, 2014. http://dx.doi.org/10.1115/1.860335_ch11.

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"Variable Change." In Solving Direct and Inverse Heat Conduction Problems. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-33471-2_5.

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Min, Tao, Xing Chen, Yao Sun, and Qiang Huang. "A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm." In Inverse Heat Conduction and Heat Exchangers. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.89096.

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This chapter is intended to provide a numerical algorithm involving the combined use of the Levenberg-Marquardt algorithm and the Galerkin finite element method for estimating the diffusion coefficient in an inverse heat conduction problem (IHCP). In the present study, the functional form of the diffusion coefficient is an unknown priori. The unknown diffusion coefficient is approximated by the polynomial form and the present numerical algorithm is employed to find the solution. Numerical experiments are presented to show the efficiency of the proposed method.
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Conference papers on the topic "Heat conduction with variable coefficient"

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Krikkis, Rizos N., Stratis V. Sotirchos, and Panagiotis Razelos. "Fin Analysis Under Transition Boiling Heat Transfer: Part II — Radial Fins." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33850.

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The thermal characteristics of six profiles of radial fins subject to transition boiling heat transfer are analyzed. The profiles considered are the rectangular the trapezoidal, the triangular, the convex parabolic, the parabolic and the hyperbolic. The model of the physical mechanism is based on one-dimensional heat conduction using certain simplifying assumptions while the heat transfer coefficient is modeled as a power-law function of the temperature difference between the fin and the saturated boiling liquid with a negative exponent. The problem is formulated by means of dimensionless vari
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Kassab, Alain J., Eduardo A. Divo, Minking K. Chyu, and Frank J. Cunha. "Inverse BEM Method to Identify Surface Temperatures and Heat Transfer Coefficient Distributions at Inaccessible Surfaces." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-68873.

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The purpose of the inverse problem considered in this study is to resolve heat transfer coefficient distributions by solving a steady-state inverse problem. Temperature measurements at interior locations supply the additional information that renders the inverse problem solvable. A regularized quadratic functional is defined to measure the deviation of computed temperatures from the values under current estimates of the heat transfer coefficient distribution at the surface exposed to convective heat transfer. The inverse problem is solved by minimizing this functional using a parallelized gene
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Knupp, Diego C., Renato M. Cotta, and Carolina P. Naveira Cotta. "Conjugated Heat Transfer in Heat Spreaders With Micro-Channels." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17818.

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This work is aimed at the experimental verification of a recently proposed single domain formulation of conjugated conduction-convection heat transfer problems, which are often of relevance in thermal micro-systems analysis. The single domain formulation simultaneously models the heat transfer phenomena at both the fluid streams and the channels walls by making use of coefficients represented as space variable functions with abrupt transitions occurring at the fluid-wall interfaces. The Generalized Integral Transform Technique (GITT) is then employed in the hybrid numerical-analytical solution
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Nickerson, Joshua L., Martin Cerza, and Sonia M. F. Garcia. "Modeling Bubble Growth in Micro-Channel Cooling Systems." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43637.

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The solution of the heat conduction equation in the liquid layer beneath a moving bubble’s base and the resulting local heat transfer coefficient are presented. An analytical model was constructed using separation of variables to solve the heat conduction equation for the thermal profile in the liquid film beneath the base of a bubble moving through a microchannel at a given velocity. Differentiating the resulting liquid thermal profile and applying the standard definition for the local heat transfer coefficient resulted in a solution for local heat transfer coefficient as a function of bubble
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Caron, Etienne, Kyle J. Daun, and Mary A. Wells. "High Temperature Heat Transfer During Hot Forming Die Quenching of Boron Steel." In ASME 2013 Heat Transfer Summer Conference collocated with the ASME 2013 7th International Conference on Energy Sustainability and the ASME 2013 11th International Conference on Fuel Cell Science, Engineering and Technology. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ht2013-17201.

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Distributed mechanical properties can be obtained in ultra high strength steel parts formed via hot forming die quenching (HFDQ) by controlling the cooling rate and microstructure evolution during the quenching step. HFDQ experiments with variable cooling rates were conducted by quenching Usibor® 1500P boron steel blanks between dies pre-heated up to 600°C. The heat transfer coefficient (HTC) at the blank / die interface, which is used to determine the blank cooling rate, was evaluated via inverse heat conduction analysis. The HTC was found to increase with die temperature and stamping pressur
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McMasters, Robert L., and James V. Beck. "Solutions for Transient Heat Conduction With Solid Body Motion and Convective Boundary Conditions." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32046.

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The analytical solution for the problem of transient thermal conduction with solid body movement is developed for a parallelepiped with convective boundary conditions. An effective transformation scheme is used to eliminate the flow terms. The solution uses Green’s functions containing convolution-type integrals, which involve integration over a dummy time, referred to as “cotime.” Two types of Green’s functions are used: one for short cotimes comes from the Laplace transform and the other for long cotimes from the method of separation of variables. A primary advantage of this method is that i
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Naveira-Cotta, Carolina P., Helcio R. B. Orlande, Renato M. Cotta, and Jeziel S. Nunes. "Integral Transforms, Bayesian Inference, and Infrared Thermography in the Simultaneous Identification of Variable Thermal Conductivity and Diffusivity in Heterogeneous Media." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22511.

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This work deals with the simultaneous estimation of spatially variable thermal conductivity and diffusivity for one-dimensional heat conduction in heterogeneous media. The direct problem solution is analytically obtained via integral transforms and the related eigenvalue problem is solved by the Generalized Integral Transform Technique (GITT). The inverse problem is handled by Bayesian inference through a Markov Chain Monte Carlo (MCMC) method. Instead of seeking the function estimation in the form of a sequence of local values for the thermal properties, an alternative approach is utilized he
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Knupp, Diego C., Carolina P. Naveira Cotta, and Renato M. Cotta. "Conjugated Heat Transfer in Micro-Channels With a Single Domain Formulation and Integral Transforms." In ASME 2012 Third International Conference on Micro/Nanoscale Heat and Mass Transfer. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/mnhmt2012-75287.

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The present work is an extension of a novel methodology recently proposed by the authors for the analytical solution of conjugated heat transfer problems in channel flow, here taking into account the axial diffusion effects which are often of relevance in micro-channels. This methodology is based on a single domain formulation, which is proposed for modeling the heat transfer phenomena at both the fluid stream and the channel walls regions. By making use of coefficients represented as space variable functions, with abrupt transitions occurring at the fluid-wall interface, the mathematical mode
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Kim, Jinsang, and Alan Palazzolo. "Dynamic Characteristics of TEHD Tilt Pad Journal Bearing Simulation Including Multiple Mode Pad Flexibility Model." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0213.

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Abstract An approach for incorporating the heat transfer and elastic deformation effects into dynamic coefficient calculation is presented. A global analysis method is used, which finds the equilibrium pad tilt angles at each eccentricity position and includes cross-film variable viscosity, heat transfer effects in the lubricant, elastic deformation, heat conduction effects in the pads, and elastic deformation effect in the pivots. Deflection modes are used to approximate deformation of the top surface of the pads. The dynamic coefficients of a single pad are calculated at the equilibrium stat
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Soujoudi, Ramin. "Application of Inverse Heat Conduction Method and Method of Lines in Spray Cooling of Heated Surface." In ASME 2016 Heat Transfer Summer Conference collocated with the ASME 2016 Fluids Engineering Division Summer Meeting and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ht2016-7477.

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This paper investigates application of Method of Lines (MOL) and Inverse Heat Conduction techniques in spray cooling process. A flat face of a heated cylinder is cooled by using a nozzle spray and using room temperature water as a cooling fluid. The numerical analysis is done using MOL to estimate exposed surface temperature, surface heat flux, and convection heat transfer coefficient [3],[4]. Since there is no exact solution to verify the approximation result, for the verification purpose and accuracy of the result, the numerical result from this study is compared to other approximation resul
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