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Under what condition do streamlines of a flow coincide with the streak lines?
It is stated at numerous places that in a steady flow, all particles move along the streamlines, i.e. streamlines and pathlines coincide. In steady flow (when the velocity vector-field does not change with time), the streamlines, pathlines, and streaklines coincide.
Under what conditions streamline Pathline and streakline remains same?
In a steady flow the streamline, pathline and streakline all coincide. In an unsteady flow they can be different. Streamlines are easily generated mathematically while pathline and streaklines are obtained through experiments.
How does a streamline compare to the velocity vector?
A streamline is a line that is tangential to the instantaneous velocity direction (velocity is a vector, and it has a magnitude and a direction). To visualize this in a flow, we could imagine the motion of a small marked element of fluid.
Which method traces the motion and trajectory of fluid particle?
Lagrangian Method
Advantages of Lagrangian Method: Since motion and trajectory of each fluid particle is known, its history can be traced. Since particles are identified at the start and traced throughout their motion, conservation of mass is inherent.
Is streamline and steady flow same?
Streamline, In fluid mechanics, the path of imaginary particles suspended in the fluid and carried along with it. In steady flow, the fluid is in motion but the streamlines are fixed. Where streamlines crowd together, the fluid speed is relatively high; where they open out, the fluid is relatively still.
What is the difference between a streamline and Streakline?
A streamline is a line which smoothly connects velocity vectors at an instance in time. In other words, an image of the flow characterized by streamlines is like a snapshot of the flow at one moment in time. A streakline is a curved line formed by a string of fluid particles which have passed through a certain point.
Are streamlines Lagrangian?
Streamline: A line everywhere tangent to the fluid velocity v at a given instant (flow snapshot). It is a strictly Eulerian concept. Streakline: Instantaneous locus of all fluid particles that have passed a given point (snapshot of certain fluid particles). It is a strictly Lagrangian concept.
Which one is a state of failure?
1. Which one is in a state of failure? Explanation: A fluid is a Tresca material with zero cohesion. In simple words, fluid is in a state of failure.
What is a one-dimensional flow?
One-dimensional flow. It is the flow where all the flow parameters may be expressed as functions of time and one space coordinate only. The single space coordinate is usually the distance measured along the centre-line (not necessarily straight) in which the fluid is flowing.