示蹤線：也有人稱之為(wei) 煙線，定義(yi) 是所有經過過同一位置的流體(ti) 質點，在某一時刻下形成的連線。如果我們(men) 在流場中某個(ge) 點，不斷的釋放不考慮質量的煙霧或者墨水，那麽(me) 這些在同一位置點冒出的煙霧和墨水在某一時刻時形成的線，就叫做示蹤線。

Tracer line: also known as smoke line, defined as the line formed by all fluid particles passing through the same location at a certain moment. If we continuously release smoke or ink that does not consider mass at a certain point in the flow field, then the line formed by the smoke and ink emitted at the same point at a certain moment is called a tracer line.

　　流線：沿著流場質點速度矢量相切的方向形成的連線。所以流線上任意一點切線的方向，就代表了當地流體(ti) 質點的速度方向。流線的稀疏的地方，流場速度小，流線密集的地方，流場的速度大。而且，每一條流線上的速度和壓力的關(guan) 係，都滿足伯努利方程。 根據定義(yi) ，我們(men) 可得知，流場內(nei) 任意兩(liang) 條流線都不會(hui) 相交，因為(wei) 同一個(ge) 流體(ti) 質點不可能同時具有兩(liang) 個(ge) 不同的運動方向。記得讀流體(ti) 力學書(shu) 時，為(wei) 了加深對流線的理解，老師告訴我們(men) ：每一條流線，都可以看作一堵可以自由滑移的壁麵，流體(ti) 可以貼著壁麵流動、而不會(hui) 穿過；這樣解釋流線，形象而生動。

Streamline: a line formed along the direction of tangent to the velocity vector of a particle in the flow field. So the direction of the tangent at any point on the streamline represents the velocity direction of the local fluid particles. In areas with sparse streamlines, the velocity of the flow field is low, while in areas with dense streamlines, the velocity of the flow field is high. Moreover, the relationship between velocity and pressure on each streamline satisfies the Bernoulli equation. According to the definition, we can know that no two streamlines in the flow field will intersect, because the same fluid particle cannot have two different directions of motion at the same time. Remember when reading a book on fluid mechanics, in order to deepen our understanding of streamline, the teacher told us that each streamline can be seen as a wall that can slide freely, and fluid can flow against the wall without passing through it; Explaining the streamline in this way is vivid and vivid.

　　根據流線的定義(yi) ，我們(men) 又可以衍生出流管，想象流線如果起始於(yu) 流場內(nei) 一個(ge) 封閉的環，在流線向後不斷發展過程中，又會(hui) 有新的封閉的環產(chan) 生，這些環構成的麵，就稱作流管。同樣的，流管也像壁麵一樣，把管內(nei) 和管外的流體(ti) 分割開來，而不會(hui) 穿透。

According to the definition of streamline, we can also derive a flow tube. Imagine if the streamline starts from a closed loop in the flow field, and as the streamline continues to develop backwards, new closed loops will emerge. The surface formed by these loops is called a flow tube. Similarly, flow pipes act like walls, separating the fluid inside and outside the pipe without penetrating.

　　跡線：流體(ti) 質點空間位置在時間曆程上形成的軌跡。所以跡線實際上描述的是流場信息在一個(ge) 時間段內(nei) 的結果。它記錄了不同時刻下跟蹤質點空間位置的變化。

Trace: The trajectory formed by the spatial position of fluid particles over time. So the trace actually describes the result of flow field information over a period of time. It records the changes in the spatial position of tracked particles at different times.

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