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TURBULENT FREE CONVECTION IN A VERTICAL CHANNEL WITH ISOTHERMAL WALLS: NEW FORMULATION AND THE RESISTOR-NETWORK MODEL

卷 11, 册 1-2, 2019, pp. 131-145
DOI: 10.1615/ComputThermalScien.2018021319
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摘要

The three-temperature problem of turbulent free convection of air in a vertical channel with isothermal walls is studied. An extension of the Newton law of cooling is used to formulate the problem in terms of three temperature differences, that is, without resorting to the use of some effective temperature difference. The dQdT technique was applied numerically to calculate the coefficients of this formulation. Numerical dQdT entails a baseline solution to the full set of governing equations and subsequent solutions to the linearized energy equation with perturbed boundary conditions. The low-Reynolds k-ε turbulence model was used to obtain baseline solutions that were validated against experimental data from the literature. The application of the dQdT technique to a variable-property turbulent free convection problem is discussed. Sample results are presented for different heating scenarios, flow rates, and channel aspect ratios. It is shown that the three-temperature problem can be approximated by a delta network of three convective resistances, connecting three temperature nodes representing the isothermal boundaries.

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  1. Jankovic Aleksandar, Goia Francesco, Impact of double skin facade constructional features on heat transfer and fluid dynamic behaviour, Building and Environment, 196, 2021. Crossref

  2. Preet Sajan, Mathur Jyotirmay, Mathur Sanjay, Influence of geometric design parameters of double skin façade on its thermal and fluid dynamics behavior: A comprehensive review, Solar Energy, 236, 2022. Crossref

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