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首页> 外文期刊>International Journal of Heat and Mass Transfer >Scaling of natural convection of an inclined flat plate: Ramp cooling condition
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Scaling of natural convection of an inclined flat plate: Ramp cooling condition

机译：倾斜平板的自然对流缩放：斜坡冷却条件

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摘要

A scaling analysis is performed for the transient boundary layer established adjacent to an inclined flat plate following a ramp cooling boundary condition. The imposed wall temperature decreases linearly up to a specific value over a specific time. It is revealed that if the ramp time is sufficiently large then the boundary layer reaches quasi-steady mode before the growth of the temperature is finished. However, if the ramp time is shorter then the steady state of the boundary layer may be reached after the growth of the temperature is completed. In this case, the ultimate steady state is the same as if the start up had been instantaneous. Note that the cold boundary layer adjacent to the plate is potentially unstable to Rayleigh-Benard instability if the Rayleigh number exceeds a certain critical value for this cooling case. The onset of instability may set in at different stages of the boundary layer development. A proper identification of the time when the instability may set in is discussed. A numerical verification of the time for the onset of instability is presented in this study. Different flow regimes based on the stability of the boundary layer have also been discussed with numerical results.
机译：遵循斜坡冷却边界条件，对邻近倾斜平板建立的瞬态边界层进行了定标分析。施加的壁温在特定时间内线性降低至特定值。可以看出，如果斜坡时间足够长，则边界层在温度的增长完成之前就达到了准稳态模式。但是，如果斜坡时间较短，则在温度增长完成后可能会达到边界层的稳态。在这种情况下，最终稳态与启动是瞬时的一样。注意，如果在这种冷却情况下，瑞利数超过某个临界值，则与板相邻的冷边界层可能会对瑞利-贝纳德不稳定性造成不稳定。不稳定的开始可能发生在边界层发展的不同阶段。讨论了确定不稳定可能发生的时间的正确方法。在这项研究中，对不稳定发生时间进行了数值验证。数值结果也讨论了基于边界层稳定性的不同流态。

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