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In a flow field the stream lines and equipotential lines
[1994]
- a)are parallel
- b)Cut at any angle
- c)Are orthogonal every where in the field
- d)Cut orthogonal except at the stagnation points
Correct answer is option 'D'. Can you explain this answer?
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In a flow field the stream lines and equipotential lines[1994]a)are pa...
Stream lines and Equipotential lines in a Flow Field
In a flow field, the streamlines and equipotential lines are two important concepts that are used to understand the behavior of fluids in motion. Streamlines are imaginary lines that represent the path taken by a fluid particle as it moves through the flow field. Equipotential lines, on the other hand, are imaginary lines that represent points in the flow field that have the same potential energy.
Relationship between Streamlines and Equipotential Lines
The streamlines and equipotential lines in a flow field are related to each other in a specific way. In general, the equipotential lines are perpendicular to the streamlines, which means that they intersect at right angles.
Orthogonality of Streamlines and Equipotential Lines
However, in certain special cases, such as at stagnation points, the streamlines and equipotential lines may not be orthogonal to each other. Stagnation points are points in the flow field where the velocity of the fluid is zero. At these points, the streamlines and equipotential lines intersect each other at acute angles rather than at right angles.
Conclusion
Therefore, the correct answer to the given question is option D, which states that the streamlines and equipotential lines cut orthogonal except at stagnation points.
In a flow field, the streamlines and equipotential lines are two important concepts that are used to understand the behavior of fluids in motion. Streamlines are imaginary lines that represent the path taken by a fluid particle as it moves through the flow field. Equipotential lines, on the other hand, are imaginary lines that represent points in the flow field that have the same potential energy.
Relationship between Streamlines and Equipotential Lines
The streamlines and equipotential lines in a flow field are related to each other in a specific way. In general, the equipotential lines are perpendicular to the streamlines, which means that they intersect at right angles.
Orthogonality of Streamlines and Equipotential Lines
However, in certain special cases, such as at stagnation points, the streamlines and equipotential lines may not be orthogonal to each other. Stagnation points are points in the flow field where the velocity of the fluid is zero. At these points, the streamlines and equipotential lines intersect each other at acute angles rather than at right angles.
Conclusion
Therefore, the correct answer to the given question is option D, which states that the streamlines and equipotential lines cut orthogonal except at stagnation points.
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In a flow field the stream lines and equipotential lines[1994]a)are parallelb)Cut at any anglec)Are orthogonal every where in the fieldd)Cut orthogonal except at the stagnation pointsCorrect answer is option 'D'. Can you explain this answer?
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