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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 60, 2011 - Issue 1
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Original Articles

An Accurate Nodal Heat Balance Integral Method with Spatial Subdivision

S. L. Mitchell Department of Mathematics and Statistics, MACSI, University of Limerick, Limerick, IrelandCorrespondence[email protected]
Pages 34-56 | Received 22 Oct 2010, Accepted 29 Apr 2011, Published online: 05 Jul 2011

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B. Yang, Y. Shi, G.-J. Li, M.-B. Yang, J.-B. Miao, R. Xia, L.-F. Su, J.-S. Qian, P. Chen & J.-W. Liu. (2016) Investigation on solidification behaviour of high-density polyethylene during thin-walled injection moulding: correlation between crystallisation kinetics and thermal gradient field. Plastics, Rubber and Composites 45:9, pages 398-406.
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Tien-Mo Shih, Yingbin Zheng, Martinus Arie & Jin-Cheng Zheng. (2013) Literature Survey of Numerical Heat Transfer (2010–2011). Numerical Heat Transfer, Part A: Applications 64:6, pages 435-525.
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Neeraj Kumar, Suneet Singh & J.B. Doshi. (2013) Nodal Integral Method Using Quadrilateral Elements for Transport Equations: Part 1—Convection-diffusion Equation. Numerical Heat Transfer, Part B: Fundamentals 64:1, pages 1-21.
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Neeraj Kumar, Suneet Singh & J. B. Doshi. (2012) Pressure Correction–Based Iterative Scheme for Navier-Stokes Equations using Nodal Integral Method. Numerical Heat Transfer, Part B: Fundamentals 62:4, pages 264-288.
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Articles from other publishers (11)

Mark Pritzker. (2022) Analytical Solution to Transient Convection–Diffusion Equation for Reaction at Rotating Disk Electrode Using Novel Hybrid Integral Balance-Collocation Method. International Journal of Applied and Computational Mathematics 8:3.
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Rubén D. Santiago-Acosta, Ernesto M. Hernández-Cooper, Rolando Pérez-Álvarez & José A. Otero. (2022) Effects of Volume Changes on the Thermal Performance of PCM Layers Subjected to Oscillations of the Ambient Temperature: Transient and Steady Periodic Regimes. Molecules 27:7, pages 2158.
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P. J. Shamberger, A. Hoe, M. Deckard & M. T. Barako. (2020) Dynamics of melting in a slab under harmonic heating and convective cooling boundary conditions. Journal of Applied Physics 128:10, pages 105102.
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H. Ribera, T.G. Myers & M.M. MacDevette. (2019) Optimising the heat balance integral method in spherical and cylindrical Stefan problems. Applied Mathematics and Computation 354, pages 216-231.
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Ernesto Hernández-Cooper & José Otero. (2019) Effects of Pressure-Induced Density Changes in the Thermal Energy Absorbed by a Micro-Encapsulated Phase-Change Material. Molecules 24:7, pages 1254.
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Rubén Darío Santiago Acosta, José Antonio Otero, Ernesto Manuel Hernández Cooper & Rolando Pérez-Álvarez. (2019) Thermal expansion effects on the one-dimensional liquid-solid phase transition in high temperature phase change materials. AIP Advances 9:2.
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Ernesto M. Hernández & José A. Otero. (2018) Fundamental incorporation of the density change during melting of a confined phase change material. Journal of Applied Physics 123:8.
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Bin Yang, Yan-Li Deng, Gui-Jing Li, Ji-Bin Miao, Ru Xia, Jia-Sheng Qian, Peng Chen & Jing-Wang Liu. (2015) Solidification behavior of high-density polyethylene (HDPE) during injection molding: Correlation between crystallization kinetics and thermal gradient field. IOP Conference Series: Materials Science and Engineering 87, pages 012020.
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S.L. Mitchell. (2015) Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change. Journal of Computational and Applied Mathematics 281, pages 58-73.
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S.L. Mitchell. (2014) An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue. Applied Mathematical Modelling 38:17-18, pages 4396-4408.
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O.P. Layeni & J.V. Johnson. (2012) Hybrids of the heat balance integral method. Applied Mathematics and Computation 218:14, pages 7431-7444.
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