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Keyword: finite volume method

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    Development of numerical model for buoyancy-driven heat transfer between parallel plates

    • Mateo Kirinčić
    • Tin Fadiga
    • Fran Torbarina
    • Paolo Blecich
    Mathematical Modeling, Vol. 9 (2025), Issue 2, pg(s) 68-71
    • Abstract
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    The main objective of this study is to develop and experimentally validate a finite volume numerical model for buoyancy-driven (natural convective) heat transfer between parallel plates representative of plate fin passive heat sinks. The validation employs a calorimetry-based setup: a vertical aluminum plate fin heat sink is mounted to the only uninsulated wall of an otherwise well-insulated, water-filled rectangular vessel that serves as a controllable heat source. The total heat transfer rate and convective heat transfer coefficients are inferred from the time evolution of the calorimetric water temperature, and fin surface temperatures are measured at several characteristic locations. The model resolves conjugate heat transfer between the solid heat sink and the surrounding air. Numerical predictions of heat transfer rate, fin surface temperatures, and convective heat transfer coefficients show good agreement with measurements and with established literature correlations, confirming the validity of the mathematical model and numerical procedure. The developed numerical model can be used for further analyses and optimization processes.

  • THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

    Nagata patch interpolation for finite volume mechanical contact simulations

    • Ivan Batistić
    • Željko Tuković
    • Philip Cardiff
    • Peter De Jaeger
    Mathematical Modeling, Vol. 4 (2020), Issue 1, pg(s) 10-12
    • Abstract
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    This paper describes a finite volume contact algorithm with surface smoothing using the Nagata patch interpolation. Nagata interpolation is derived from existing discretisation, using the mesh points positions and their calculated normal vectors. The contact between a deformable and a rigid body is analysed, whereas the rigid body is described with Nagata patch interpolation. Such approach allows a more accurate evaluation of the resulting contact stresses and forces

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