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In a flow field, the streamlines, and equipotential lines-

  • a)
    are parallel

  • b)
    are orthogonal everywhere in the floe field

  • c)
    cut orthogonally except at stagnation points 

  • d)
    cut at any angle

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a flow field, the streamlines, and equipotential lines-a)are parall...
The slope of equipotential Line × slope of stream function = −1
They are orthogonal to each other.
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In a flow field, the streamlines, and equipotential lines-a)are parall...
Streamlines and Equipotential Lines in a Flow Field

Introduction:
In a flow field, the streamlines and equipotential lines are two important concepts that help in understanding the behavior and characteristics of the fluid flow.

Explanation:
The streamlines in a flow field are defined as the path traced by a fluid particle as it moves through the field. These lines are everywhere tangent to the velocity vector of the flow. On the other hand, equipotential lines are defined as the lines along which the potential function of the flow field is constant. These lines are always normal to the velocity vector.

Relationship between Streamlines and Equipotential Lines:
In a flow field, the streamlines and equipotential lines are related to each other in a specific way. These lines cut each other orthogonally except at stagnation points. A stagnation point is a point in the flow field where the velocity of the fluid is zero. At this point, the streamlines and equipotential lines coincide with each other.

Importance of Streamlines and Equipotential Lines:
The streamlines and equipotential lines are important because they help in visualizing the flow pattern of the fluid. By studying these lines, we can determine the direction and magnitude of the fluid velocity at any point in the flow field. In addition, these lines also help in identifying the presence of any stagnation points or other important features of the flow field.

Conclusion:
In conclusion, the streamlines and equipotential lines in a flow field are related to each other in a specific way. They cut each other orthogonally except at stagnation points. These lines are important because they help in visualizing the flow pattern of the fluid and identifying important features of the flow field.
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In a flow field, the streamlines, and equipotential lines-a)are parallelb)are orthogonal everywhere in the floe fieldc)cut orthogonally except at stagnation pointsd)cut at any angleCorrect answer is option 'C'. Can you explain this answer?
Question Description
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