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The effect of floor heat source area on the induced airflow in a room

机译：地板热源面积对房间中诱导气流的影响

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摘要

We examine the role of heat source geometry in determining rates of airflow and thermal stratification in natural displacement ventilation flows. We modify existing models to account for heat sources of finite (non-zero) area, such as formed by a sun patch warming the floor of a room. Our model allows for predictions of the steady stratification and ventilation flow rates that develop in a room due to a circular heat source at floor level. We compare our theoretical predictions with predictions for the limiting cases of a point source of heat (yielding a stratified interior), and a uniformly heated floor (yielding a mixed interior). Our theory shows a smooth transition between these two limits, which themselves result in extremes of ventilation, as the ratio of the heat source radius to the room height increases. Our model for the transition from displacement to mixing ventilation is compared to previous work and demonstrates that the transition can occur for smaller sources than previously thought, particularly for rooms with large floor area compared to ceiling height.
机译：我们研究了热源几何形状在确定自然置换通风流量中的气流速率和热分层速率中的作用。我们修改现有模型，以解决有限（非零）区域的热源问题，例如由温暖房间地板的防晒霜形成的热源。我们的模型可以预测由于楼层水平的圆形热源而在房间内形成的稳定分层和通风流量。我们将理论预测与点热源（产生分层内部）和均匀加热地板（产生混合内部）的极限情况的预测进行比较。我们的理论显示出这两个限制之间的平滑过渡，当热源半径与房间高度之比增加时，这两个过渡本身会导致极端通风。我们从位移到混合通风过渡的模型与以前的工作进行了比较，并证明了过渡可能发生在比以前认为的更小的源上，尤其是与天花板高度相比较大的房间。

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