Which of the following is correct?a)pathlines are concerned with a num...
Explanation: A pathline is the path followed by a particle in motion whereas a streamline is an imaginary line within the flow such that the tangent at any point on it indicates the velocity at that point. Thus, pathlines are concerned with a particular particle at successive instants of time and streamlines with a number of particles at the same instant.
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Which of the following is correct?a)pathlines are concerned with a num...
Pathlines and Streamlines
Introduction:
In fluid mechanics, pathlines and streamlines are important concepts used to study the motion of fluid particles. These concepts help in visualizing and analyzing the flow patterns of fluids.
Difference between Pathlines and Streamlines:
Pathlines and streamlines differ in terms of the information they provide about fluid particle motion.
Pathlines:
Pathlines represent the actual paths followed by individual fluid particles over a period of time. They are concerned with a particular particle at successive instants of time. Pathlines provide a detailed and continuous picture of the fluid motion.
Streamlines:
Streamlines, on the other hand, are imaginary lines that are instantaneously tangent to the velocity vector of the flow at each point. They represent the instantaneous direction of fluid motion at a given instant of time. Streamlines are concerned with a number of particles at the same instant.
Correct Option:
The correct option is B, which states that pathlines are concerned with a particular particle at successive instants of time, and streamlines are concerned with a number of particles at the same instant.
Explanation:
Pathlines follow the trajectory of individual fluid particles as they move through the flow field. By tracking a specific fluid particle over time, we can observe how it moves and understand its behavior within the flow.
Streamlines, on the other hand, provide a snapshot of the flow at a given instant of time. They represent the instantaneous direction of fluid motion at different points in the flow field. Streamlines are useful for visualizing and analyzing the overall flow pattern and can help identify regions of high or low velocity, stagnation points, and flow separation.
In summary, pathlines provide information about the path followed by individual fluid particles over time, while streamlines represent the instantaneous direction of fluid motion at a given instant.
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