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Application of an Inertia Dependent Flow Friction Model to Snow Avalanches: Exploration of the Model Using a Ping-Pong Ball Experiment

机译:惯性依赖流动摩擦模型在雪崩雪崩中的应用:使用乒乓球实验探索模型

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Snow avalanches are catastrophic phenomena because of their destructive power. Therefore, it is very important to forecast the affected area of snow avalanches using numerical simulations. In our study, we focus on applying a numerical model to snow avalanches. The inertia-dependent flow friction model, which we call the “ I -dependent” model, is a promising numerical model based on granular flow experiments and includes the local inertial effect. This model was introduced in previous studies as it predicts the shape and velocity of the granular flow accurately. We numerically investigated the particle diameter effect of the I -dependent model, and found that the smaller the particle diameter is, the faster the flow front velocity becomes. The final flow shape is similar to a crescent shape when the particle diameter is small. We applied this model to the ping-pong ball flow experiment, which imitated a snow avalanche on a ski jump slope. Comparing between the experimental and simulated results, the flow shape is better reproduced when the particle diameter is small, while the numerical simulation using a real ping-pong ball diameter did not show the clear crescent shape. Moreover, the relative error analysis shows that the best fit between experimental and simulated flow front velocity occurs when the particle diameter is larger than the actual size of a ping-pong ball. We conjecture that this discrepancy is mainly caused by aerodynamic effects, which, in this case, are large due to the low density of ping-pong balls. Therefore, it is necessary to explore the granular features of ping-pong balls or snow avalanches by conducting experiments, as done in previous experimental studies. Through such efforts, it may be possible to apply this I -dependent model to snow avalanches in the future.
机译:由于其破坏性力量,雪崩是灾难性现象。因此,使用数值模拟预测雪雪崩的受影响区域非常重要。在我们的研究中,我们专注于将数值模型应用于雪崩。我们称之为“i -dependent”模型的惯性依赖性流动摩擦模型是基于粒状流动实验的有前途的数值模型,包括局部惯性效果。在先前的研究中引入了该模型,因为它可以精确地预测粒状流的形状和速度。我们在数值上研究了I依赖性模型的粒径效果,发现粒径越小,流动前速度越快。当粒径小时,最终流动形状类似于新月形。我们将该模型应用于平乒乓球流实验,这在滑雪跳跃斜坡上模仿了雪雪崩。比较实验和模拟结果,当粒径小时,流动形状更好地再现,而使用真正的乒乓球直径的数值模拟没有显示出透明的新月形。此外,相对误差分析表明,当粒径大于乒乓球的实际尺寸时,发生实验和模拟流动前速度之间的最佳拟合。我们猜测这种差异主要由气动效果引起,在这种情况下,由于乒乓球的低密度,这是大的。因此,如先前的实验研究中所做的那样,有必要通过进行实验来探索乒乓球或雪崩的粒状特征。通过这种努力,可以将这一I依赖的模型应用于未来的雪崩。

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