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Non-Boussinesq approach for turbulent buoyant flows in enclosure with horizontal vent and forced inlet port

机译：非Boussinesq方法用于带水平通风孔和强制入口的封闭式湍流浮流

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摘要

The effects of forced ambient velocity on thermal plume behavior in a ceiling vented square enclosure are numerically investigated. Turbulence is modeled by unsteady Favre-averaged Navier-Stokes (UFANS) equation with Lam Bremhorst low Reynolds number k-e turbulence model. A non-Boussinesq variable density approach is used to model the density variations. Simplified Marker and Cell (SMAC) algorithm is used to solve the governing equations on collocated grid with high accuracy compact finite difference schemes. The pressure Poisson equation is solved by bi-conjugate gradient algorithm and time integration is performed with four stage Runge-Kutta method (Rk-4). The results are presented for Grashof number Gr = 10~(11) and 10~(12) and Gay-Lussac number Ga = 0.2 and 2. The present model is valid when buoyancy effects are significant in comparison with forced convection effects. The heat transfer characteristics are analyzed by varying forced inlet velocity, inlet port size and inlet port location. The assisting flow enhances plume discharge rate and increases convective heat loss from cavity. The opposing flow weakens thermal buoyancy and minimizes convective heat loss from cavity. The present mathematical model and numerical method are in good agreement with the existing results available in the literature.
机译：数值研究了强迫环境速度对天花板通风的方形外壳中热羽流行为的影响。湍流由非定常Favre平均Navier-Stokes（UFANS）方程和Lam Bremhorst低雷诺数k-e湍流模型建模。非Boussinesq可变密度方法用于对密度变化进行建模。使用简化的标记和单元（SMAC）算法以高精度紧凑有限差分方案求解并置网格上的控制方程。通过双共轭梯度算法求解压力泊松方程，并使用四阶段Runge-Kutta方法（Rk-4）进行时间积分。给出了格拉斯霍夫数Gr = 10〜（11）和10〜（12）以及盖伊·卢萨克数Ga = 0.2和2的结果。当浮力效应与强制对流效应相比显着时，本模型有效。通过改变强制进气速度，进气口尺寸和进气口位置来分析传热特性。辅助流动提高了羽流的排放速率，并增加了从腔中对流的热损失。逆流削弱了热浮力，并最大程度地减少了对流从腔体流失。当前的数学模型和数值方法与文献中现有的结果非常吻合。

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