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  • Open Access

    ARTICLE

    Analytical Modeling of Internal Thermal Mass: Transient Heat Conduction in a Sphere under Constant, Exponential, and Periodic Ambient Temperatures

    Liangjian Lei1,2, Yihang Lu1,2,*

    Frontiers in Heat and Mass Transfer, Vol.23, No.6, pp. 2109-2126, 2025, DOI:10.32604/fhmt.2025.072643 - 31 December 2025

    Abstract Internal thermal mass, such as furniture and partitions, plays a crucial role in enhancing building energy efficiency and indoor thermal comfort by passively regulating temperature fluctuations. However, the irregular geometry of these elements poses a significant challenge for accurate modeling in building energy simulations. This study addresses this gap by developing a rigorous analytical model that idealizes internal thermal mass as a sphere, thereby capturing multi-directional heat conduction effects that are neglected in simpler one-dimensional slab models. The transient heat conduction within the sphere is solved analytically using Duhamel’s theorem for three representative indoor air… More >

  • Open Access

    ARTICLE

    Estimation of a Line Heat Source Using an Adjoint Free Gradient Based Inverse Analysis

    Farzad Mohebbi*

    Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1417-1441, 2025, DOI:10.32604/fhmt.2025.069024 - 31 October 2025

    Abstract An inverse analysis is presented to estimate line heat source in two-dimensional steady-state and transient heat transfer problems. A constant heat source is considered in the steady-state heat transfer problem (a parameter estimation problem) and a time-varying heat source is considered in the transient heat transfer problem (a function estimation problem). Since a general irregular 2D heat conducting body is considered, a body-fitted grid generation is used to mesh the domain. Then governing equations and associated boundary and initial conditions are transformed from the physical domain to the computational domain and finite difference method is… More >

  • Open Access

    PROCEEDINGS

    Thermoelastic Transient Memory Response Analysis of Spatio-Temporal Non-Localized Porous Hollow Cylinder Based on Moore-Gibson-Thompson Thermoelasticity Theory

    Yixin Zhang, Yongbin Ma*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.33, No.1, pp. 1-1, 2025, DOI:10.32604/icces.2025.012268

    Abstract In this paper, a novel porous thermoelastic model is developed, building upon the existing framework of thermoelastic model. The objective of this study is to investigate the thermoelastic response behavior of porous materials. The Klein-Gordon (KG) operator is employed to describe the effect of spatio-temporal non-localization in the constitutive equation, and the memory-dependent derivative (MDD) is incorporated into the Moore-Gibson-Thompson (MGT) heat conduction equation. The model is applied to study the thermoelastic response of hollow porous cylinders under thermal shock, which accurately captures the complex micro-interaction characteristics and memory-dependent properties of the porous structure. Subsequently,… More >

  • Open Access

    PROCEEDINGS

    Design of Anisotropic Heat Conduction Structures Based on Deep Learning

    Yihui Wang1, Qishi Li1, Wei Sha1, Mi Xiao1,*, Liang Gao1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.32, No.1, pp. 1-1, 2024, DOI:10.32604/icces.2024.012356

    Abstract Heat conduction structures are widely employed in thermal management of electronic components across aerospace, electronics, and related domains, ensuring sustained operational performance and longevity. However, conventional approaches to heat conduction structure design are encumbered by constraints on design flexibility, suboptimal thermal dissipation characteristics, and inefficiencies. Addressing these limitations, this study presents a novel approach leveraging deep learning for the design of anisotropic heat conduction structures. Initially, a pre-trained deep generative model is deployed to enable real-time generation of topologically functional cell (TFC) at the microscale. With the introduction of rotation angles of each TFC, these More >

  • Open Access

    ARTICLE

    Experiments and Analyses on Heat Transfer Characteristics from a Solid Wall to a Strip-Shaped Wick Structure

    Kenta Hashimoto1, Guohui Sun1, Yasushi Koito2,*

    Frontiers in Heat and Mass Transfer, Vol.22, No.3, pp. 687-702, 2024, DOI:10.32604/fhmt.2024.052928 - 11 July 2024

    Abstract Centered or striped wick structures have been used to develop ultrathin heat pipes. Differing from traditional heat pipes, the centered or striped wick structures leave noncontact container surfaces with the wick structure. In this study, experiments and numerical analyses were conducted to investigate the influence of these noncontact surfaces. In the experiments, a strip-shaped wick structure was placed vertically, the top was sandwiched between wider rods and the bottom was immersed in a working fluid. The rod width was greater than the wick width; thus, noncontact surfaces were left between the rod and the wick… More >

  • Open Access

    ARTICLE

    Enhancing Hygrothermal Performance in Multi-Zone Constructions through Phase Change Material Integration

    Abir Abboud1, Zakaria Triki1, Rachid Djeffal2, Sidi Mohammed El Amine Bekkouche2, Hichem Tahraoui1,3,4, Abdeltif Amrane4, Aymen Amin Assadi5, Lotfi Khozami5, Jie Zhang6,*

    Frontiers in Heat and Mass Transfer, Vol.22, No.3, pp. 769-789, 2024, DOI:10.32604/fhmt.2024.050330 - 11 July 2024

    Abstract As buildings evolve to meet the challenges of energy efficiency and indoor comfort, phase change materials (PCM) emerge as a promising solution due to their ability to store and release latent heat. This paper explores the transformative impact of incorporating PCM on the hygrothermal dynamics of multi-zone constructions. The study focuses on analyzing heat transfer, particularly through thermal conduction, in a wall containing PCM. A novel approach was proposed, wherein the studied system (sensitive balance) interacts directly with a latent balance to realistically define the behavior of specific humidity and mass flow rates. In addition, More >

  • Open Access

    ARTICLE

    Finite Difference-Peridynamic Differential Operator for Solving Transient Heat Conduction Problems

    Chunlei Ruan1,2,*, Cengceng Dong1, Zeyue Zhang1, Boyu Chen1, Zhijun Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.3, pp. 2707-2728, 2024, DOI:10.32604/cmes.2024.050003 - 08 July 2024

    Abstract Transient heat conduction problems widely exist in engineering. In previous work on the peridynamic differential operator (PDDO) method for solving such problems, both time and spatial derivatives were discretized using the PDDO method, resulting in increased complexity and programming difficulty. In this work, the forward difference formula, the backward difference formula, and the centered difference formula are used to discretize the time derivative, while the PDDO method is used to discretize the spatial derivative. Three new schemes for solving transient heat conduction equations have been developed, namely, the forward-in-time and PDDO in space (FT-PDDO) scheme,… More >

  • Open Access

    PROCEEDINGS

    Investigation of Pore-Scale THMC Acid Fracturing Process Considering Heat Conduction Anisotropy

    Kaituo Jiao1, Dongxu Han2,*, Bo Yu2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.4, pp. 1-5, 2023, DOI:10.32604/icces.2023.09168

    Abstract Acid fracturing is critical to improving the connectivity inside underground reservoirs, which involves a complex thermal-hydro-mechanical-chemical (THMC) coupling process, especially deep underground. Heat conduction anisotropy is one of the intrinsic properties of rock. It determines the heat response distribution inside the rock and alters the temperature evolution on the reactive surface of fractures and pores. In another way, the rock dissolution rate is closely related to the reactive surface temperature. Predictably, heat conduction anisotropy leads to different rock dissolution morphologies from that of the heat conduction isotropy situation, then the cracks distribution and permeability of… More >

  • Open Access

    PROCEEDINGS

    Multi-Scale Topology Optimization Method Considering Multiple Structural Performances

    Wenjun Chen1, Yingjun Wang1,*

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.3, pp. 1-1, 2023, DOI:10.32604/icces.2023.09096

    Abstract The rapid development of topology optimization has given birth to a large amount of different topology optimization methods, and each of them can manage a class of corresponding engineering problems. However, structures need to meet a variety of requirements in engineering application, such as lightweight and multiple load-bearing performance. To design composite structures that have multiple structural properties, a new multi-scale topology optimization method considering multiple structural performances is proposed in this paper. Based on the fitting functions of the result set and the bisection method, a new method to determine the weight coefficient is… More >

  • Open Access

    ARTICLE

    An Efficient Approach for Solving One-Dimensional Fractional Heat Conduction Equation

    Iqbal M. Batiha1,2,*, Iqbal H. Jebril1, Mohammad Zuriqat3, Hamza S. Kanaan4, Shaher Momani5,*

    Frontiers in Heat and Mass Transfer, Vol.21, pp. 487-504, 2023, DOI:10.32604/fhmt.2023.045021 - 30 November 2023

    Abstract Several researchers have dealt with the one-dimensional fractional heat conduction equation in the last decades, but as far as we know, no one has investigated such a problem from the perspective of developing suitable fractionalorder methods. This has actually motivated us to address this problem by the way of establishing a proper fractional approach that involves employing a combination of a novel fractional difference formula to approximate the Caputo differentiator of order α coupled with the modified three-point fractional formula to approximate the Caputo differentiator of order 2α, where 0 < α ≤ 1. As More >

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