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Stream line, path line and streak line are identical when the
- a)flow is steady
- b)flow is uniform
- c)flow velocities do not change steadily with time
- d)flow is neither steady nor uniform
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Stream line, path line and streak line are identical when thea)flow is...
Streamlines, streaklines and pathlines are field lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady.These can be thought of as "recording" the path of a fluid element in the flow over a certain period.
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Most Upvoted Answer
Stream line, path line and streak line are identical when thea)flow is...
Explanation:
Fluid mechanics is the branch of physics that deals with the study of fluid flow and its properties. Streamline, pathline, and streakline are the three important concepts in fluid mechanics, and they are used to describe the behavior of fluid particles in a flow. These concepts are used to understand the flow of fluids in various engineering applications.
Streamline:
A streamline is defined as a line that is tangent to the velocity vector of a fluid particle at any given point in the flow field. The streamline represents the path taken by a fluid particle as it moves through the flow field. Streamlines are used to visualize the flow field and to understand the behavior of the fluid particles.
Pathline:
A pathline is defined as the actual path taken by a fluid particle as it moves through the flow field. The pathline can be determined by tracking the motion of a single fluid particle over time. Pathlines are used to understand the behavior of fluid particles in unsteady flows.
Streakline:
A streakline is defined as the line formed by a series of fluid particles that have passed through a fixed point in the flow field at different times. The streakline represents the path taken by a fluid particle that was present at the fixed point at a certain time. Streaklines are used to visualize the flow field and to understand the behavior of the fluid particles.
Identical in Steady Flow:
In a steady flow, the flow field does not change with time. Therefore, the velocity of fluid particles at any point in the flow field is constant, and the streamlines, pathlines, and streaklines are identical. This means that a streamline, pathline, and streakline all represent the same path taken by a fluid particle in a steady flow.
Conclusion:
In conclusion, streamlines, pathlines, and streaklines are important concepts in fluid mechanics. In a steady flow, these concepts are identical because the flow field does not change with time, and the velocity of fluid particles at any point in the flow field is constant. These concepts are used to visualize the flow field and to understand the behavior of fluid particles in various engineering applications.
Fluid mechanics is the branch of physics that deals with the study of fluid flow and its properties. Streamline, pathline, and streakline are the three important concepts in fluid mechanics, and they are used to describe the behavior of fluid particles in a flow. These concepts are used to understand the flow of fluids in various engineering applications.
Streamline:
A streamline is defined as a line that is tangent to the velocity vector of a fluid particle at any given point in the flow field. The streamline represents the path taken by a fluid particle as it moves through the flow field. Streamlines are used to visualize the flow field and to understand the behavior of the fluid particles.
Pathline:
A pathline is defined as the actual path taken by a fluid particle as it moves through the flow field. The pathline can be determined by tracking the motion of a single fluid particle over time. Pathlines are used to understand the behavior of fluid particles in unsteady flows.
Streakline:
A streakline is defined as the line formed by a series of fluid particles that have passed through a fixed point in the flow field at different times. The streakline represents the path taken by a fluid particle that was present at the fixed point at a certain time. Streaklines are used to visualize the flow field and to understand the behavior of the fluid particles.
Identical in Steady Flow:
In a steady flow, the flow field does not change with time. Therefore, the velocity of fluid particles at any point in the flow field is constant, and the streamlines, pathlines, and streaklines are identical. This means that a streamline, pathline, and streakline all represent the same path taken by a fluid particle in a steady flow.
Conclusion:
In conclusion, streamlines, pathlines, and streaklines are important concepts in fluid mechanics. In a steady flow, these concepts are identical because the flow field does not change with time, and the velocity of fluid particles at any point in the flow field is constant. These concepts are used to visualize the flow field and to understand the behavior of fluid particles in various engineering applications.
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Stream line, path line and streak line are identical when thea)flow is steadyb)flow is uniformc)flow velocities do not change steadily with timed)flow is neither steady nor uniformCorrect answer is option 'A'. Can you explain this answer?
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