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讲 # |
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主题 /参考读物 |
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作业 |
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第一章 1: 概述 |
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1 |
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描述流体运动的方法：欧拉法和拉格朗日法 |
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2 |
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动力学, 张力和涡旋 |
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3 |
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动力学运输定理及后果 |
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作业 1: (1)T型管中的流动 |
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4 |
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流体的力, 应力和柯西定理 |
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5 |
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动量守恒定律 |
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6 |
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张力和应力, 耐维—斯托克斯方程 |
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背诵和补充 参考读物: 笛卡尔张量 |
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第二章 2: 简单推论 |
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7 |
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均质层流的涡旋原理 |
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作业 2: (1)涡旋及过山波动, (2) 气泡动力学 |
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8 |
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Rayleigh问题 -- 涡旋从何而来？ |
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9 |
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缩放比例和近似 |
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第三章 3: 缓流 |
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10 |
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斜面上泥流层的缓慢扩散 |
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作业 3: 机械能；雨中的雷达天线罩；润滑与近似 |
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11 |
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进入线汇的选择性后退,边界层近似和相似解 |
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12 |
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经过球体的斯托克斯流动 |
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13 |
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气溶胶力学 |
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作业k 4: 地平面上火山岩的扩散
进行期中考试 |
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补充参考读物： 斜面上泥流的瞬时缓慢扩散
补充参考读物：经过圆柱的缓流 Oseen原理 |
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第三章: 高雷诺数流动 |
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14 |
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均质流体的无粘性、无涡旋流动 |
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15 |
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无粘性均质流体的伯努利原理 |
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16 |
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稳定边界层举例：薄层射流 |
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17 |
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不同压强梯度的效果 |
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18 |
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Kármán动量积分近似 |
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19 |
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沿平面的瞬时边界层的近似 |
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20 |
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非稳定边界层 |
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21 |
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阵风和分离 |
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作业 5: 点源的射流 |
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补充参考读物: 波的边界层；斯托克斯原理
补充参考读物: 流动诱导—欧拉和拉格朗日 |
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第四章: 热和质量的传递 |
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22 |
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热能量；山谷风 |
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23 |
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稳定热源的羽流浮力 |
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24 |
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管道内振荡流的均质化和扩散 |
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第五章 5: 不稳定性绪论 |
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25 |
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Kelvin-Helmholtz 不稳定的启发性讨论； K-H 不稳定的线性分析; 连续分层流体的K-H不稳定 |
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26 |
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不稳定平行流的Rayleigh非粘性原理； Fjortoft原理 |
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27 |
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不稳定平行流的粘性效应 |
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第六章 6: 多孔介质中的流动和传输 |
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28 |
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多孔介质和达西定理；均质化及达西定理的微观机械基础 |
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29 |
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Saffman-Taylor 不稳定和粘性滞留； 地热梯度下的多孔层内的传递 (Rayleigh数) |
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作业 6: (1) 重力下的 K-H 不稳定, (2) 沿斜面下滑的管道流扩散 ，(3) Hele-Shaw 类推 |
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30 |
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Horton-Rogers-Lapwood 不稳定性 |
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背诵及补充参考读物: 双扩散和热盐不稳定
补充参考读物:作为边界层的地热羽流
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第七章 7: 地球转动和海洋流 |
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31 |
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旋转坐标和克里奥利力 |
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32 |
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转动流体的涡旋定理；浅海近似 |
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33 |
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浅海区域风诱导的稳定流动 |
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34 |
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海洋表面Ekman层上的不均匀力 |
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进行期末考试 |
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35 |
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风在两层海域上引起的波 |
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36 |
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沿岸上升流 |
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