Relevant bibliographies by topics / Stationary heat conduction

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

Academic literature on the topic 'Stationary heat conduction'

Author: Grafiati
Published: 28 June 2021
Last updated: 29 July 2025

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Journal articles on the topic "Stationary heat conduction"

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Bojan Trkulja, Željko Štih, and Sead Berberović. "THERMAL ANALYSIS OF BURIED HIGH-VOLTAGE CABLES." Journal of Energy - Energija 57, no. 6 (2022): 676–87. http://dx.doi.org/10.37798/2008576342.

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The present work includes the coupled electromagnetic/thermal analysis of a threephase system composed of three single-core cables in trefoil configuration. The cable system is analyzed in thermally stationary and non-stationary state, taking into account the non-linearity of heat conduction in the soil surrounding the cable. The complex model of heat transfer in soil, caused by soil drying in the cable’s surrounding, has been made by applying two zones of different heat conductions.
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Karalevich, Uladzimir V., and Dmitrij G. Medvedev. "Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases." Journal of the Belarusian State University. Mathematics and Informatics, no. 2 (August 5, 2021): 99–104. http://dx.doi.org/10.33581/2520-6508-2021-2-99-104.

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The solution of the stationary heat conduction problem for profiled polar-orthotropic annular plates with heat-insulated bases from N extended heat sources at their external border is presented. The temperature distribution in such plates will be non-axisymmetric. The solution of the stationary heat conduction problem for anisotropic annular plates of an random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of st
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Velinov, T., V. Gusev, and K. Bransalov. "Non-stationary heat conduction of a porous medium." Applied Physics A Solids and Surfaces 54, no. 1 (1992): 6–18. http://dx.doi.org/10.1007/bf00348122.

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Milka, Zdeněk. "Finite element solution of a stationary heat conduction equation with the radiation boundary condition." Applications of Mathematics 38, no. 1 (1993): 67–79. http://dx.doi.org/10.21136/am.1993.104535.

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Krymov, Nikita E. "Estimating the Discrete Approximation Error in Solving the Stationary Radiant-and-Conduction Heat Transfer Problem in a System of Absolutely Black Square Rods." Vestnik MEI, no. 5 (2021): 128–34. http://dx.doi.org/10.24160/1993-6982-2021-5-128-134.

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Studying heat transfer processes in periodic media containing vacuum interlayers or cavities, heat through which is transferred by radiation, is of significant interest for applications. Direct numerical solution of such problems involves considerable computational efforts and becomes almost impossible for systems containing a large number of heat conducting elements, especially for 2D and 3D structures. Therefore, it is of issue to develop effective approximate solution methods for such problems. This publication continues a series of studies on developing and substantiating special discrete
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Yacenko, Konstantin M., Yri Y. Rakov, and Konstantin V. Slyusarskiy. "The inverse stationary heat conduction problem for a cuboid." MATEC Web of Conferences 91 (December 20, 2016): 01008. http://dx.doi.org/10.1051/matecconf/20179101008.

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Ciałkowski, M. J., A. Frąckowiak, and K. Grysa. "Physical regularization for inverse problems of stationary heat conduction." Journal of Inverse and Ill-posed Problems 15, no. 4 (2007): 347–64. http://dx.doi.org/10.1515/jiip.2007.019.

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Liu, I.-Shih, M. A. Rincon, and I. Müller. "Iterative approximation of stationary heat conduction in extended thermodynamics." Continuum Mechanics and Thermodynamics 14, no. 5 (2002): 483–93. http://dx.doi.org/10.1007/s001610200090.

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Zhydyk, U. V., M. I. Klapchuk, O. I. Bahlai, M. M. Voloshyn, H. V. Ivasyk, and N. O. Morska. "Termostressed state of a three-layer rectangular plate under non-stationary convective heating conditions." Mathematical Modeling and Computing 11, no. 2 (2024): 413–20. http://dx.doi.org/10.23939/mmc2024.02.413.

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The study considers a rectangular isotropic plate with a layered irregular structure. It is convectively non-stationarily heated by an external environment. The initial relationships of the non-stationary heat conduction and thermoelasticity problem are formulated using a five-mode mathematical model based on the shear deformation theory of thermoelasticity. Using the methods of Fourier and Laplace integral transforms, general solutions have been obtained for the non-stationary heat conduction problem and the quasi-static thermoelasticity problem for a hinge-supported plate along its edges. A
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Kartashov, E. M. "ANALYTICAL SOLUTIONS OF HYPERBOLIC MODELS OF NON-STATIONARY HEAT CONDUCTION." Fine Chemical Technologies 13, no. 2 (2018): 81–90. http://dx.doi.org/10.32362/2410-6593-2018-13-2-81-90.

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Practically important problems of non-stationary heat conduction for hyperbolic transport models are considered. An analytical approach based on contour integration of operational solutions of hyperbolic models is developed. This leads to new integral relationships convenient for numerical experiments. The equivalence of new functional constructions and known analytical solutions of this class of problems is shown. On the basis of the obtained relations, the wave character of the nonstationary thermal conductivity is described taking into account the finite velocity of heat propagation. The ju
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Dissertations / Theses on the topic "Stationary heat conduction"

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Brachna, Róbert. "Stanovení anizotropie tepelné vodivosti polymerních chladičů pro chlazení elektroniky." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-445460.

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The master's thesis focuses on creating a numerical model of a polymeric heat sink with emphasis on its significant thermal conductivity anisotropy. This anisotropy is caused by highly thermally conductive graphite filler. Its final orientation is given by the melt flow inside the mould cavity during injection molding. The numerical model is created on the basis of a heat sink prototype subjected to experimental measurements, whose physical conditions are reliably replicated by the model. The determination of anisotropy is divided into two parts. The qualitative part is based on the fracture a
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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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Синотин, А. М. "Автоматизация расчётов нестационарных тепловых режимов при проектировании одноблочных радиоэлектронных аппаратов". Thesis, ХНУРЕ, 2008. http://openarchive.nure.ua/handle/document/6863.

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Thesis is devoted to the research of heat exchange character in radio electronic vehicles which function in an air environment at normal atmospheric pressure; the development of calculation method of the non-stationary temperature fields of REA with the arbitrary law of change of the power dispersed elements from a temperature and time; the research of influence of structural parameters of vehicle taking into account the anisotropy of the heated areas on a heat-conducting on a general temperature condition. First, on the basis of the conducted analytical and experimental researches, the algo
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Book chapters on the topic "Stationary heat conduction"

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Mlýnek, Jaroslav, and Roman Knobloch. "The Model of Non-stationary Heat Conduction in a Metal Mould." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65960-2_45.

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Mucha, PiotrBogusł aw, Milan Pokorný, and Ewelina Zatorska. "Existence of Stationary Weak Solutions for Compressible Heat Conducting Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-13344-7_64.

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Mucha, Piotr B., Milan Pokorný, and Ewelina Zatorska. "Existence of Stationary Weak Solutions for the Heat Conducting Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-10151-4_64-1.

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Rutin, Sergey B., Aleksandr D. Yampol'skiy, and Pavel V. Skripov. "Heat Transfer in Supercritical Fluids." In Advanced Applications of Supercritical Fluids in Energy Systems. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-2047-4.ch009.

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Results of experimental study of non-stationary heat transfer in supercritical fluids, which were obtained using the method of controlled pulse heating of low-inertia wire probe, are discussed. The aim of this study was to clarify the peculiarities of heat conduction mode at significant heat loads. A threshold decrease in the “instant” heat transfer coefficient, the more pronounced the closer the pressure value to critical pressure, has been found, as well as the absence of impact of the isobaric heat capacity peak known from stationary measurements on the experimental results. These results g
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Ghergu, Marius, and Vicenţiu D. Rădulescu. "Sublinear Perturbations of Singular Elliptic Problems." In Singular Elliptic Problems: Bifurcation and Asymptotic Analysis. Oxford University PressNew York, NY, 2008. http://dx.doi.org/10.1093/oso/9780195334722.003.0004.

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Abstract Singular problems arise in the study of non-Newtonian fluids, boundary layer phenomena for viscous fluids, chemical heterogeneous catalysts, as well as in the theory of heat conduction in electrically conducting materials. The associated singular stationary or evolution equations describe various physical phenomena. For instance, superdiffusivity equations of this type have been proposed by de Gennes [60] as a model for long-range Van der Waals interactions in thin films spreading on solid surfaces. Singular equations also appear in the study of cellular automata and interacting parti
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Glass, Irvine I., and J. P. Sislian. "Dusty-Gas Shock Tubes." In Nonstationary Flows and Shock Waves. Oxford University PressOxford, 1994. http://dx.doi.org/10.1093/oso/9780198593881.003.0010.

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Abstract When a gas carries many solid particles, these particles significantly affect the flow by the transfer of momentum and heat from or to the gas. Shock waves propagating in such a dusty gas are characterized by a transition region orders thicker than that caused by viscosity and heat conduction in a pure gas. Across the transition front, the interaction of the gas and the particles leads to an equilibrium state of the mixture. The structure of stationary shock waves has been studied theoretically on the assumption that the formulae for the drag and the rate of heat transfer for a single
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Kolesnikov, Yu B., and O. V. Andreev. "Experimental Heat Transfer Intensification in Two-Dimensional Flow under Bulk Forces." In Mathematics of Heat Transfer. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198503583.003.0022.

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Abstract A class of hydrodynamic and heat problems exists in which two-dimensional flow is driven by a bulk force. In this context, a homogeneous magnetic field transverse to an electrically conducting flow confined by boundaries perpendicular to the field is an effective tool for the transformation of the flow to a two-dimensional (2D) state in the plane perpendicular to the field. Scaling of the conducting flow under the homogeneous magnetic field and the eventual development of instability are considered. As an example of the transverse field influence on a flow, a rotating flow confined be
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Skripov, Pavel V., Aleksandr D. Yampol'skiy, and Sergey B. Rutin. "High-Power Heat Transfer in Supercritical Fluids." In Handbook of Research on Advancements in Supercritical Fluids Applications for Sustainable Energy Systems. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-5796-9.ch012.

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Non-stationary heat transfer in supercritical fluids at relatively small temporal and spatial scales was studied experimentally. The aim of the study was to clarify the peculiarities of conductive heat transfer mode at significant heat loads. An unexpected stepwise decrease in the instant heat transfer coefficient has been revealed in the course of crossing the vicinity of the critical temperature along the supercritical isobar. This means that the peaks of isobaric heat capacity and excess thermal conductivity, which are known from stationary measurements, do not affect the experimental resul
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Musersky, P. O., S. N. Naumenko, and A. A. Krylov. "DIGITAL TOOL FOR EXPRESS ASSESSMENT OF THE THERMAL STATE OF THE BODY OF A PASSENGER RAILWAY CAR." In Intellectual Transport Systems. Russian University of Transport, Moscow, Russian Federation, 2023. http://dx.doi.org/10.30932/9785002182794-2023-282-287.

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The purpose of the research is to find solutions to optimize the consumption of energy consumed while ensuring the standard parameters of the microclimate in a passenger car. The key issue here is the evaluation of the thermal state of the car body, characterized by the value of the average heat transfer coefficient of the CSR, determined by the results of thermal testing. When conducting thermal tests to determine the value of the CSR, the possibility was considered instead of the traditional and rather long-term equilibrium method of internal heating to use a shorter non-stationary method, w
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Conference papers on the topic "Stationary heat conduction"

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BARBERA, ELVIRA. "STATIONARY HEAT CONDUCTION IN A ROTATING FRAME." In Proceedings of the 11th Conference on WASCOM 2001. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777331_0006.

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Zhou, Le-Ping, Bu-Xuan Wang, Xiao-Ze Du, and Yong-Ping Yang. "Analysis of Heat Conduction in Dilute Nanofluids." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18429.

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In this paper, we assume that a nanofluid is a mixture consisting of a continuous base fluid component and a discontinuous nanoparticle component. Then, based on the analysis of Buongiorno in 2006 for critical slip mechanisms in nanofluids, we consider the effects of Brownian diffusion and thermophoresis of nanoparticles on heat and mass flux in nanofluid. With the coupled conservation equations, we analyze the heat conduction properties of general nanofluids under three conditions: 1) stationary fluid with uniform temperature, 2) stationary fluid under constant temperature boundary, and 3) st
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Reinhardt, Hans-Jürgen, and Dinh Nho Hao. "Efficient Numerical Solution of Inverse Heat Conduction Problems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0659.

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Abstract In this contribution we propose new numerical methods for solving inverse heat conduction problems. The methods are constructed by considering the desired heat flux at the boundary as piecewise constant (in time) and then deriving an explicit expression for the solution of the equation for a stationary point of the minimizing functional. In a very special case the well-known Beck method is obtained. For the time being, numerical tests could not be included in this contribution but will be presented in a forthcoming paper.
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Maruyama, Shigeo. "Topics of Heat Transfer Related to Single-Walled Carbon Nanotubes." 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/ht2007-32048.

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Using an alcohol catalytic CVD method shown to produce high-quality single-walled carbon nanotubes (SWNTs), films of vertically aligned (VA-)SWNTs were synthesized on quartz substrates. The VA-SWNTs can be removed from the substrate and transferred onto an arbitrary surface—without disturbing the vertical alignment—using a hot-water assisted technique. This ability makes experimental measurements of the anisotropic properties of SWNTs considerably less challenging. A series of molecular dynamics simulations have been performed to investigate a variety of heat conduction characteristics of SWNT
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Shokouhmand, Hossein, Seyed Reza Mahmoudi, and Kaveh Habibi. "Analytical Solution of Hyperbolic Heat Conduction Equation for a Finite Slab With Arbitrary Boundaries, Initial Condition, and Stationary Heat Source." In ASME 2008 6th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2008. http://dx.doi.org/10.1115/icnmm2008-62058.

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This paper presents an analytical solution of the hyperbolic heat conduction equation for a finite slab that sides are subjected to arbitrary heat source, boundary, and initial conditions. In the mathematical model used in this study, the heating on both sides treated as an apparent heat source while sides of the slab assumed to be insulated. Distribution of the apparent heat source for a problem with arbitrary heating on two boundaries is solved. The solution obtained by separation of variable method using appropriate Fourier series. Being a Sturm-Liouville problem in x-direction, suitable or
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Gubareva, Kristina, Andrey Popov, Natalia Krasnova, Konstantin Trubitsyn, and Vasiliy Tkachev. "On a Method for Solving Non-Stationary Heat Conduction Problems with Constant over Time Internal Heat Sources." In 2019 XXI International Conference Complex Systems: Control and Modeling Problems (CSCMP). IEEE, 2019. http://dx.doi.org/10.1109/cscmp45713.2019.8976719.

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BARBERA, ELVIRA. "AN APPLICATION OF EXTENDED THERMODYNAMICS AND FLUCTUATION PRINCIPLE TO STATIONARY HEAT CONDUCTION IN RADIAL SYMMETRY." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0006.

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Treilande, Tabita, and Ilmars Iltins. "Non-standard method for solving hyperbolic heat equations." In 23rd International Scientific Conference Engineering for Rural Development. Latvia University of Life Sciences and Technologies, Faculty of Engineering and Information Technologies, 2024. http://dx.doi.org/10.22616/erdev.2024.23.tf117.

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In this article, we build upon the pioneering work of Abraham Temkin (1919-2007), who introduced a novel separation of variables method for non-stationary heat conduction in the 1960s. Our extension applies this method to the hyperbolic heat equation, incorporating a relaxation term. The hyperbolic heat equation, a partial differential equation combining features of both hyperbolic and parabolic equations, finds wide applications across various scientific fields, including physics, engineering, geophysics, medical imaging, and more. Our investigation centres on the application of the Temkin’s
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ZHAO, NANRONG, and MASARU SUGIYAMA. "ONE-DIMENSIONAL STATIONARY HEAT CONDUCTION IN A RAREFIED GAS AT REST ANALYZED BY CONSISTENT-ORDER EXTENDED THERMODYNAMICS." In Proceedings of the 13th Conference on WASCOM 2005. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773616_0073.

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Ranut, Paola, Cristiano Persi, Enrico Nobile, and Stefano Spagnul. "Estimation of Heat Flux Distribution in a Continuous Casting Mould by Inverse Heat Transfer Algorithms." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47435.

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In the continuous casting process of steel, the control of the mould heat removal is a key parameter, since it directly affects the shell growth and the stresses and strains that are produced in the mould. An inverse heat conduction model was developed to calculate mould heat transfer from temperature measurements, recorded using thermocouples buried inside the copper mould wall. The mould is water-cooled to solidify the hot metal directly in contact with it. The direct stationary conduction problem was solved both on a 2D and a 3D domain; the 2D geometry concerns only a longitudinal section o
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