Article
Engineering, Multidisciplinary
Renyu Zeng, Keyong Wang, Fengyan Ge, Peichao Li
Summary: A novel hybrid polygonal finite element method based on HFS-FEM is proposed for simulating heat conduction in two-dimensional cellular materials. The method assumes two independent temperature fields for the domain and boundary of the element, and approximates the intra-element temperature field using a combination of fundamental solutions. The charge simulation method is introduced to establish the required fundamental solution for domains with arbitrarily-shaped holes. Combining the two independent fields into a modified variational functional results in a finite element formulation that avoids the need for domain integration. The method allows for great flexibility in mesh generation and can construct any polygonal element with different numbers of sides.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Mathematics, Applied
Jakub Krzysztof Grabski
Summary: This paper investigates the placement of source points for transient heat conduction problems using the method of fundamental solutions. The results show that placing the source points in a space much larger than the considered region, with negative time coordinate, can lead to very good accuracy.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Materials Science, Multidisciplinary
Yaru Guo, Hancheng Fu, Kunyuan Ma, Jiaxin Liu, Yongkang Zhang, Chongchen Xiang, Qingyu Zhang
Summary: The thermal and mechanical properties of the hollow sphere reinforced AZ31 magnesium matrix composite were investigated in this study using experimental and simulation methods. It was found that hollow spheres with 40% volume fraction, 3.6 mm diameter, and 0.185 mm wall thickness demonstrated the best performance in terms of both thermal and mechanical properties.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Thermodynamics
Hadi Ali Madkhali, Maryam Haneef, A. S. El-Shafay, Sayer Obaid Alharbi, M. Nawaz
Summary: This article develops a system of PDEs related to the simultaneous transport of heat and species in Maxwell fluid with mono and hybrid nano particles, using the generalized laws of Fourier and Fick based on thermal and solutal relaxation times. The developed PDEs are solved numerically using the finite element method. The simulations reveal that the thermal and concentration relaxation memory effects reduce the boundary layer thickness, and the simultaneous dispersion of copper and aluminium oxide improves heat transfer.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Thermodynamics
Qiang Xi, Zhuojia Fu, Timon Rabczuk, Deshun Yin
Summary: This study developed a novel localized collocation scheme based on fundamental solutions for analyzing long-time anomalous heat conduction behavior in functionally graded materials and proposed a method to deal with time fractional derivatives. Numerical tests demonstrated that the computational strategy is a competitive alternative for simulating anomalous heat conduction behavior.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Engineering, Multidisciplinary
W. B. da Silva, J. C. S. Dutra, C. E. P. Kopperschimidt, D. Lesnic, R. G. Aykroyd
Summary: The paper successfully estimates the time-dependent HTC in two-dimensional transient inverse heat conduction problems by combining MFS and PF-SIR methods, confirming the synergy between the two approaches.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mathematics, Applied
Serena Dipierro, Benedetta Pellacci, Enrico Valdinoci, Gianmaria Verzini
Summary: In this study, the fundamental solution of a time-fractional problem was analyzed, with the existence and uniqueness established in a suitable functional space. Furthermore, it was shown that in the one-dimensional spatial setting, when the time-fractional exponent is equal to or larger than 1/2, the invasion speed of the fundamental solution is of at least almost square root type.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2021)
Article
Thermodynamics
Ningli Chen, Xian Yi, Qiang Wang, Deling Chai
Summary: This study examined the coupled heat transfer during ice accretion, showing that latent heat generated during freezing is transferred to the ice layer and wall through conduction. The dominant heat conduction direction in the solid wall is surface tangent, while in the ice layer it is in the normal direction. It was found that heat transfer from the ice layer to the water film can be neglected, but may lead to relatively large errors at the upper and lower ice coverage limitations.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2022)
Article
Energy & Fuels
Idir Mechai, Nidal H. Abu-Hamdeh, Ziyad Jamil Talabany, Mohammed N. Ajour, Randa I. Hatamleh, Awad Musa
Summary: In this study, a homogeneous model was used to incorporate the impact of nanomaterials on the discharging process of PCM. Mathematical models with unsteady terms were derived, taking into account the influence of nano-powder shape on nanomaterial properties. A simulation was carried out for the discharging of water in a container with a tilted fin attached to the upper circular wall. By neglecting the associated term due to the low magnitude of liquid PCM, only two equations were considered. Finite element method with variable grid configuration was used for more accurate solutions, and a published article with the same numerical method was used for validation. Results showed that an increase in the shape factor led to quicker solidification, with a process time decrease of around 5.83% compared to the case with phi = 0.02, which had a 75.34% greater impact. The inclusion of blade-shaped particles with the highest fraction reduced the freezing period by approximately 23.51%, while for cylinder-shaped particles, the reduction was 25.23% lower than this value.
JOURNAL OF ENERGY STORAGE
(2023)
Article
Mathematics, Applied
Xiaoguang Yuan, Quan Jiang, Zhidong Zhou, Fengpeng Yang
Summary: This paper extends the method of fundamental solutions (MFS) for solving the boundary value problems (BVPs) of analytic functions. The conformal mapping technique is applied to introduce singularities and reconstruct the fundamental solutions. The proposed method has the advantages of conciseness, reliability, efficiency, high accuracy, and easy-using.
Article
Multidisciplinary Sciences
Amir Najibi, Guang-Hui Wang
Summary: In this study, a graded finite element analysis is used to solve the axisymmetric 2D hyperbolic heat conduction equation in a finite hollow cylinder made of functionally graded materials. The graded FE method is verified, and the rule of the mixture with power-law volume fraction is found to enhance the thermal properties' gradation along the radial direction. The effects of Vernotte numbers and material distributions on temperature waves are investigated, and the results are discussed for different heat conduction models and material distributions.
Article
Thermodynamics
Paolo Maria Mariano, Julia Polikarpus, Marco Spadini
Summary: We compare traveling-wave-type solutions between two models describing heat transfer, one including nonlinearities due to microstructural contributions and heat-flux-driven phase transition, and the other being the Maxwell-Cattaneo's scheme. Our closed-form results based on asymptotic-type analysis reveal how microstructural effects perturb the evolution of temperature traveling waves. Furthermore, our findings indicate a hidden link between initial conditions of heat flux and temperature, even in the Maxwell-Cattaneo's scheme.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Thermodynamics
Andrzej Frackowiak, Agnieszka Wroblewska, Michal Cialkowski
Summary: This paper presents a concept of solving the inverse heat conduction problem using Trefftz functions and provides two examples to validate the effectiveness of the method.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2022)
Article
Energy & Fuels
SeungHyun Lee, Sung-hun Son, JinSun Kim, Johnbosco Yesuraj, Kibum Kim, Seok-Ho Rhi
Summary: This study evaluates the heat transfer characteristics and mechanical deformation of new composite material heat sinks. The results show that the composite heat sink, made of copper and graphite, has better heat dissipation performance and can effectively reduce the temperature of the IGBT module compared to the pure copper heat sink.
INTERNATIONAL JOURNAL OF ENERGY RESEARCH
(2022)
Article
Materials Science, Multidisciplinary
Shyam Kumar Chaudhary, Vishesh Ranjan Kar, Karunesh Kumar Shukla
Summary: This article presents a nonlinear flexural analysis of perforated functionally graded composite panels under heat conduction and various pressure conditions. The study utilizes a geometrically nonlinear mathematical model with higher-order shear-deformation kinematics. The temperature-dependent elastic and thermal properties are computed using Voigt's homogenization scheme, and the equilibrium equations are derived through isoparametric finite element approximations.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
