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Analytical solutions of laminar and turbulent dam break wave

机译:层流湍流溃坝波的解析解

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摘要

Modern predictions of dam break wave rely often on numerical predictions validated with limited data sets. Basic theoretical studies were rare during the past decades. Herein simple solutions of the dam break wave are developed using the Saint-Venant equations for an instantaneous dam break with a semi-infinite reservoir in a wide rectangular channel initially dry. New analytical equations are obtained for both turbulent flow and laminar flow motion on horizontal and sloping inverts with non-constant friction factor. The results are validated by successful comparisons between theoretical results and several experimental data sets. The theoretical developments yield simple explicit analytical expressions of the dam break wave with flow resis-tance. The results compare well with experimental data and more advanced theoretical solutions. The devel-opments are simple, yielding nice pedagogical applications of the method of characteristics for horizontal and sloping channels. These analytical solutions may be used to validate numerical solutions, while the simplicity of the equations allows some extension to more complex fluid flows (e.g. non-Newtonian fluids).
机译:大坝溃决波的现代预测通常依赖于用有限数据集验证的数值预测。在过去的几十年中,很少进行基础理论研究。在此,使用Saint-Venant方程开发了溃坝波的简单解决方案,用于在最初干燥的宽矩形通道中具有半无限水库的瞬时溃坝。对于具有非恒定摩擦系数的水平和倾斜转体,湍流和层流运动都获得了新的解析方程。通过将理论结果与几个实验数据集进行成功比较,验证了结果。理论上的发展产生了具有流动阻力的溃坝波的简单显式解析表达式。结果与实验数据和更高级的理论解决方案进行了比较。开发很简单,在水平和倾斜通道的特性方法方面产生了很好的教学应用。这些解析解可用于验证数值解,而方程式的简单性允许扩展到更复杂的流体流(例如非牛顿流体)。

著录项

  • 作者

    Chanson Hubert;

  • 作者单位
  • 年度 2006
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
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