A rational method for the distribution of nodes in modelling of transient heat conduction in plane slabs

Pekka Tuomaala (Corresponding Author), Kalevi Piira, M. Vuolle

    Research output: Contribution to journalArticleScientificpeer-review

    15 Citations (Scopus)

    Abstract

    In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.

    Original languageEnglish
    Pages (from-to)397 - 406
    Number of pages10
    JournalBuilding and Environment
    Volume35
    Issue number5
    DOIs
    Publication statusPublished - 2000
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Heat conduction
    heat
    slab
    modeling
    compromise
    Thermal gradients
    heat balance
    Heat flux
    temperature gradient
    curvature
    heat flux
    heat transfer
    Heat transfer
    distribution
    method
    gridding
    Hot Temperature
    Temperature
    temperature

    Keywords

    • thermal simulation
    • heat balance
    • uneven gridding
    • thermal network
    • accuracy

    Cite this

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    abstract = "In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.",
    keywords = "thermal simulation, heat balance, uneven gridding, thermal network, accuracy",
    author = "Pekka Tuomaala and Kalevi Piira and M. Vuolle",
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    language = "English",
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    A rational method for the distribution of nodes in modelling of transient heat conduction in plane slabs. / Tuomaala, Pekka (Corresponding Author); Piira, Kalevi; Vuolle, M.

    In: Building and Environment, Vol. 35, No. 5, 2000, p. 397 - 406.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - A rational method for the distribution of nodes in modelling of transient heat conduction in plane slabs

    AU - Tuomaala, Pekka

    AU - Piira, Kalevi

    AU - Vuolle, M.

    PY - 2000

    Y1 - 2000

    N2 - In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.

    AB - In this paper, the thermal response of a homogenous slab to both step and sinusoidal excitations of temperature at one boundary is examined. The distribution of nodes for the purposes of heat balance thermal modelling is discussed. Errors in the heat flux at the external boundary are examined when even and uneven gridding approaches are applied. A denser gridding close to the surface is adopted due to the fact that the curvature of the temperature gradient is greatest near the surface during the early stages of transient heat transfer. Example calculations demonstrate the potential of uneven gridding to obtain a rational compromise between accuracy and computational effort. Rational uneven gridding results in a more accurate solution with a smaller number of thermal nodes compared with even gridding.

    KW - thermal simulation

    KW - heat balance

    KW - uneven gridding

    KW - thermal network

    KW - accuracy

    U2 - 10.1016/S0360-1323(99)00038-4

    DO - 10.1016/S0360-1323(99)00038-4

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    SP - 397

    EP - 406

    JO - Building and Environment

    JF - Building and Environment

    SN - 0360-1323

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