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An improved boundary layer scaling with ramp heating on a sloping plate

机译:通过在斜板上加热来改善边界层结垢

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A scaling analysis for the natural convection boundary layer adjacent to an inclined semi-infinite plate subject to a non-instantaneous heating in the form of an imposed wall temperature which increases linearly up to a prescribed steady value over a prescribed time is reported. The development of the boundary layer flow from start-up to a steady-state has been described based on scaling analyses and verified by numerical simulations. The analysis reveals that, if the period of temperature growth on the wall is sufficiently long, the boundary layer reaches a quasi-steady mode before the growth of the temperature is completed. In this mode the thermal boundary layer at first grows in thickness and then contracts with increasing time. However, if the imposed wall temperature growth period is sufficiently short, the boundary layer develops differently, but after the wall temperature growth is completed, the boundary layer develops as though the startup had been instantaneous. The steady state values of the boundary layer for both cases are ultimately the same.
机译:据报道,对与一个倾斜的半无限板相邻的自然对流边界层进行比例分析,该自然对流边界层受到非瞬时加热,其形式​​为施加的壁温,该壁温在规定的时间内线性增加至规定的稳定值。基于比例分析并描述了边界层流从启动到稳态的发展过程,并通过数值模拟进行了验证。分析表明,如果壁上的温度增长时间足够长,则边界层在温度增长完成之前便达到了准稳态模式。在这种模式下,热边界层首先厚度增加,然后随着时间的增加而收缩。但是,如果施加的壁温增长周期足够短,则边界层会不同地发展,但是在壁温增长完成之后,边界层会像启动是瞬时启动一样发展。两种情况下边界层的稳态值最终都是相同的。

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