示蹤線：也有人稱之為煙線，定義是所有經(jīng)過(guò)過(guò)同一位置的流體質(zhì)點(diǎn)，在某一時(shí)刻下形成的連線。如果我們?cè)诹鲌?chǎng)中某個(gè)點(diǎn)，不斷的釋放不考慮質(zhì)量的煙霧或者墨水，那么這些在同一位置點(diǎn)冒出的煙霧和墨水在某一時(shí)刻時(shí)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(chǎng)質(zhì)點(diǎn)速度矢量相切的方向形成的連線。所以流線上任意一點(diǎn)切線的方向，就代表了當(dāng)?shù)亓黧w質(zhì)點(diǎn)的速度方向。流線的稀疏的地方，流場(chǎng)速度小，流線密集的地方，流場(chǎng)的速度大。而且，每一條流線上的速度和壓力的關(guān)系，都滿足伯努利方程。 根據(jù)定義，我們可得知，流場(chǎng)內(nèi)任意兩條流線都不會(huì)相交，因?yàn)橥粋€(gè)流體質(zhì)點(diǎn)不可能同時(shí)具有兩個(gè)不同的運(yùn)動(dòng)方向。記得讀流體力學(xué)書時(shí)，為了加深對(duì)流線的理解，老師告訴我們：每一條流線，都可以看作一堵可以自由滑移的壁面，流體可以貼著壁面流動(dòng)、而不會(huì)穿過(guò)；這樣解釋流線，形象而生動(dòng)。

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(jù)流線的定義，我們又可以衍生出流管，想象流線如果起始于流場(chǎng)內(nèi)一個(gè)封閉的環(huán)，在流線向后不斷發(fā)展過(guò)程中，又會(huì)有新的封閉的環(huán)產(chǎn)生，這些環(huán)構(gòu)成的面，就稱作流管。同樣的，流管也像壁面一樣，把管內(nèi)和管外的流體分割開來(lái)，而不會(huì)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：流體質(zhì)點(diǎn)空間位置在時(shí)間歷程上形成的軌跡。所以跡線實(shí)際上描述的是流場(chǎng)信息在一個(gè)時(shí)間段內(nèi)的結(jié)果。它記錄了不同時(shí)刻下跟蹤質(zhì)點(diǎn)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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