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頁籤選單縮合
題名 | 球體沿粗糙斜面運動之流體阻力與邊界阻力=Fluid Drag and Boundary Resistances for a Sphere Rolling Down a Rough Inclined Plane |
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作者 | 詹錢登; 陳晉琪; | 書刊名 | 力學 |
卷期 | 12:4 1996.12[民85.12] |
頁次 | 頁495-501 |
分類號 | 440.137 |
關鍵詞 | 球體; 粗糙底床; 流體阻力係數; 摩擦阻力係數; 碰撞阻力係數; Sphere; Rough boundary; Fluid drag coefficient; Friction coefficient; Collision coefficient; |
語文 | 中文(Chinese) |
中文摘要 | 球體沿著由相同球體緊密排列所組成之粗糙傾斜底床時,除了受到周圍流體阻力 ( Fluid drag )的作用外,亦受到球體與底床間相互碰撞與摩擦作用所形成的邊界阻力( Boundary resistance )。本文以力平衡的觀點,分析靜止流體中單一球體沿粗糙底床的穩 定運動,進而求得流體阻力係數與流體密度、球體特性、底床坡度、摩擦阻力係數、碰撞阻 力係數及球體移動速度之關係式。藉由實驗資料,本文並探討底床相對糙度對流體阻力係數 、滑動阻力係數及碰撞阻力係數的影響。 |
英文摘要 | When a sphere rolls down a rough inclined plane made of identical spheres closely attached to each other, the sphere may experience the fluid drag as well as the friction and the collision resistances from the bottom boundary. When the forces acting on the the sphere are balanced, the sphere steadily rolls down the inclined plane. The relationship of the drag coefficient with the fluid density, the sphere's property, the bed inclination, the friction coefficient, the collison coefficient and the the sphere's moving velocity is obtained through the analysis of the steady movement of the sphere. The effects of bottom roughness on the coefficient of fluid drag, the coefficient of friction resistance and the coefficient of collision resistance are also evaluated with experimental data. |
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