Three-dimensional numerical manifold method for heat conduction problems with a simplex integral on the boundary

Tong, DeFu; Yi, XiongWei; Tan, Fei; Jiao, YuYong; Liang, JiaWei

doi:10.1007/s11431-022-2321-9

Sci. China Technol. Sci.

2023

DOI: 10.1007/s11431-022-2321-9

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Three-dimensional numerical manifold method for heat conduction problems with a simplex integral on the boundary

DeFu Tong,

XiongWei Yi,

Fei Tan

et al.

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Cited by 10 publications

References 39 publications

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Analysis of transient heat conduction in tubes under convective boundary conditions

Camaraza‐Medina,

Hernandez‐Guerrero,

Luviano‐Ortiz

2024

Heat Trans

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In this work, six analytical solutions are given to estimate the energy exchange by transient conduction in pipes with convection conditions. The developed models were adjusted for an interval from 0.2 to 0.8, dimensionless Fourier (Fo) and Biot (Bi) numbers, from 0.05 to 50 and 0.005 to 50, respectively. In each case, 616 tests of temperature distributions were computed using the Heisler approximate method (HAM) and the exact models proposed, for different combinations of . For the comparison made between the analytical solutions and the HAM, 3696 tests were used, detecting that the HAM correlates with the analytical method with an average deviation of and for 71.2%, and 90.4% of the different values of combinations evaluated. The best fit was found for Case 5, with a mean deviation of and for 81.1% and 92.3% of the data used, respectively, while the weaker fit was detected for Case 2, with a mean deviation of and for 67.9% and 88.2% of the available tests.

show abstract

Analysis of transient heat conduction in tubes under convective boundary conditions

Camaraza‐Medina,

Hernandez‐Guerrero,

Luviano‐Ortiz

2024

Heat Trans

View full text Add to dashboard Cite

show abstract

Analytical modelling of transient conduction heat transfer in tubes for industrial applications

Camaraza-Medina

2024

J Therm Anal Calorim

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MEG3D——An Open-Source Software for DFN Model and 3D Numerical Manifold Elements Generation

Tong,

Yi,

Tan

et al. 2024

Computers and Geotechnics

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Three-dimensional numerical manifold method for heat conduction problems with a simplex integral on the boundary

Cited by 10 publications

References 39 publications

Analysis of transient heat conduction in tubes under convective boundary conditions

Analysis of transient heat conduction in tubes under convective boundary conditions

Analytical modelling of transient conduction heat transfer in tubes for industrial applications

MEG3D——An Open-Source Software for DFN Model and 3D Numerical Manifold Elements Generation

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