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示踪线:也有人称之为烟线,定义是所有经过过同一位置的流体质点,在某一时刻下形成的连线。如果我们在流场中某个点,不断的释放不考虑质量的烟雾或者墨水,那么这些在同一位置点冒出的烟雾和墨水在某一时刻时形成的线,就叫做示踪线。
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.
流线:沿着流场质点速度矢量相切的方向形成的连线。所以流线上任意一点切线的方向,就代表了当地流体质点的速度方向。流线的稀疏的地方,流场速度小,流线密集的地方,流场的速度大。而且,每一条流线上的速度和压力的关系,都满足伯努利方程。 根据定义,我们可得知,流场内任意两条流线都不会相交,因为同一个流体质点不可能同时具有两个不同的运动方向。记得读流体力学书时,为了加深对流线的理解,老师告诉我们:每一条流线,都可以看作一堵可以自由滑移的壁面,流体可以贴着壁面流动、而不会穿过;这样解释流线,形象而生动。
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.
根据流线的定义,我们又可以衍生出流管,想象流线如果起始于流场内一个封闭的环,在流线向后不断发展过程中,又会有新的封闭的环产生,这些环构成的面,就称作流管。同样的,流管也像壁面一样,把管内和管外的流体分割开来,而不会穿透。
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.
迹线:流体质点空间位置在时间历程上形成的轨迹。所以迹线实际上描述的是流场信息在一个时间段内的结果。它记录了不同时刻下跟踪质点空间位置的变化。
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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