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  • 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

    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 >

  • Open Access

    ARTICLE

    ANALYTICAL SOLUTION OF THE EXTENDED GRAETZ PROBLEM IN MICROCHANNELS AND MICROTUBES WITH FIXED PRESSURE DROP

    Mohamed Shaimi* , Rabha Khatyr, Jaafar Khalid Naciri

    Frontiers in Heat and Mass Transfer, Vol.20, pp. 1-14, 2023, DOI:10.5098/hmt.20.23

    Abstract This paper presents an exact analytical solution to the extended Graetz problem in microchannels and microtubes, including axial heat conduction, viscous dissipation, and rarefaction effects for an imposed constant wall temperature. The flow in the microchannel or microtube is assumed to be hydrodynamically fully developed. At the same time, the first-order slip-velocity and temperature jump models represent the wall boundary conditions. The energy equation is solved analytically, and the solution is obtained in terms of Kummer functions with expansion constants directly determined from explicit expressions. The local and fully developed Nusselt numbers are calculated in… More >

  • Open Access

    ARTICLE

    Three Dimensional Coupling between Elastic and Thermal Fields in the Static Analysis of Multilayered Composite Shells

    Salvatore Brischetto*, Roberto Torre, Domenico Cesare

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2551-2594, 2023, DOI:10.32604/cmes.2023.026312 - 09 March 2023

    Abstract This new work aims to develop a full coupled thermomechanical method including both the temperature profile and displacements as primary unknowns of the model. This generic full coupled 3D exact shell model permits the thermal stress investigation of laminated isotropic, composite and sandwich structures. Cylindrical and spherical panels, cylinders and plates are analyzed in orthogonal mixed curved reference coordinates. The 3D equilibrium relations and the 3D Fourier heat conduction equation for spherical shells are coupled and they trivially can be simplified in those for plates and cylindrical panels. The exponential matrix methodology is used to… More >

  • Open Access

    ARTICLE

    A Novel Localized Meshless Method for Solving Transient Heat Conduction Problems in Complicated Domains

    Chengxin Zhang1, Chao Wang1, Shouhai Chen2,*, Fajie Wang1,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2407-2424, 2023, DOI:10.32604/cmes.2023.024884 - 23 November 2022

    Abstract This paper first attempts to solve the transient heat conduction problem by combining the recently proposed local knot method (LKM) with the dual reciprocity method (DRM). Firstly, the temporal derivative is discretized by a finite difference scheme, and thus the governing equation of transient heat transfer is transformed into a non-homogeneous modified Helmholtz equation. Secondly, the solution of the non-homogeneous modified Helmholtz equation is decomposed into a particular solution and a homogeneous solution. And then, the DRM and LKM are used to solve the particular solution of the non-homogeneous equation and the homogeneous solution of More >

  • Open Access

    ARTICLE

    Topology Optimization of Stiffener Layout Design for Box Type Load-Bearing Component under Thermo-Mechanical Coupling

    Zhaohui Yang1,2,*, Tianhua Xiong1, Fei Du1,*, Baotong Li3

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1701-1718, 2023, DOI:10.32604/cmes.2023.022758 - 27 October 2022

    Abstract The structure optimization design under thermo-mechanical coupling is a difficult problem in the topology optimization field. An adaptive growth algorithm has become a more effective approach for structural topology optimization. This paper proposed a topology optimization method by an adaptive growth algorithm for the stiffener layout design of box type load-bearing components under thermo-mechanical coupling. Based on the stiffness diffusion theory, both the load stiffness matrix and the heat conduction stiffness matrix of the stiffener are spread at the same time to make sure the stiffener grows freely and obtain an optimal stiffener layout design.… More >

  • Open Access

    ARTICLE

    EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION DUCT FLOW OF HERSCHEL-BULKLEY FLUID WITH UNIFORM WALL TEMPERATURE OR CONVECTIVE BOUNDARY CONDITIONS

    Rabha Khatyr*, Jaafar Khalid Naciri

    Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-8, 2022, DOI:10.5098/hmt.19.23

    Abstract The aim is to study the asymptotic behavior of the temperature field for the laminar forced convection of a Herschel-Bulkley fluid flowing in a circular duct considering both viscous dissipation and axial heat conduction. The asymptotic bulk and mixing Nusselt numbers and the asymptotic bulk and mixing temperature distribution are evaluated analytically in the cases of uniform wall temperature and convection with an external isothermal fluid. In particular, it has been proved that the fully developed value of Nusselt number for convective boundary conditions is independent of the Biot number and is equal to the More >

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