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Static and dynamic angles of repose in loose granular materials under reduced gravity

机译:重力降低下松散颗粒状物料中的静态和动态静止角

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摘要

Granular materials avalanche when a static angle of repose is exceeded and freeze at a dynamic angle of repose. Such avalanches occur subaerially on steep hillslopes and wind dunes and subaqueously at the lee side of deltas. Until now it has been assumed that the angles of repose are independent of gravitational acceleration. The objective of this work is to experimentally determine whether the angles of repose depend on gravity. In 33 parabolic flights in a well-controlled research aircraft we recorded avalanching granular materials in rotating drums at effective gravitational accelerations of 0.1, 0.38 and 1.0 times the terrestrial value. The granular materials varied in particle size and rounding and had air or water as interstitial fluid. Materials with angular grains had time-averaged angles of about 40° and with rounded grains about 25° for all effective gravitational accelerations, except the finest glass beads in air, which was explained by static electricity. For all materials, the static angle of repose increases about 5° with reduced gravity, whereas the dynamic angle decreases with about 10°. Consequently, the avalanche size increases with reduced gravity. The experimental results suggest that relatively low slopes of granular material on Mars may have formed by dry flows without a lubricating fluid. On asteroids even lower slopes are expected. The dependence on gravity of angle of repose may require reanalysis of models for many phenomena involving sediment, also at much lower slope angles.
机译:当超过静态休止角时,颗粒状材料会发生雪崩,并在动态休止角处冻结。这种雪崩发生在海底在陡峭的山坡和风沙丘上,水下发生在三角洲的背风一侧。迄今为止,一直假设休止角与重力加速度无关。这项工作的目的是通过实验确定休止角是否取决于重力。在经过良好控制的研究飞机中进行的33次抛物线飞行中,我们记录了旋转鼓中雪崩的颗粒物质,其有效重力加速度分别为地面值的0.1、0.38和1.0倍。粒状材料的粒径和舍入变化,并且以空气或水为间隙液。对于所有有效的重力加速度,具有角粒的材料的时间平均角度约为40°,具有圆形颗粒的材料约为25°,但空气中最细的玻璃珠除外,这可由静电解释。对于所有材料,静态重力休止角随重力的减小而增加约5°,而动态角度则减小约10°。因此,雪崩的大小随着重力的减小而增加。实验结果表明,在没有润滑液的情况下,干流可能会形成火星上颗粒状材料相对较低的斜率。在小行星上,甚至期望更低的坡度。对休止角重力的依赖性可能需要重新分析涉及沉积物的许多现象的模型,而且斜率也要低得多。

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