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In a flow field, the streamlines and equipotential lines
- a)Are Parallel
- b)Are orthogonal every where in the flow field
- c)Cut at any angle
- d)Cut orthogonally except at the stag nation points
Correct answer is option 'D'. Can you explain this answer?
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In a flow field, the streamlines and equipotential linesa)Are Parallel...
Ans. (d)
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In a flow field, the streamlines and equipotential linesa)Are Parallel...
In a flow field, the streamlines and equipotential lines have a specific relationship that helps us understand the behavior of the flow. Let's break down this relationship:
- Streamlines:
Streamlines in a flow field are imaginary lines that represent the path followed by a fluid element as it moves through the flow. They provide information about the direction of flow at any given point.
- Equipotential lines:
Equipotential lines in a flow field are lines that connect points of equal potential energy. In fluid dynamics, they represent the pressure distribution in the flow field.
- Relationship between streamlines and equipotential lines:
In a flow field, the streamlines and equipotential lines are orthogonal, except at stagnation points. This means that they intersect at right angles, indicating a perpendicular relationship between the two sets of lines.
- Stagnation points:
Stagnation points are locations in the flow field where the velocity of the fluid is zero. At these points, the streamlines and equipotential lines are not orthogonal but are parallel to each other. This is because there is no flow at these points, resulting in a different relationship between the lines.
Overall, the relationship between streamlines and equipotential lines provides valuable insights into the flow behavior and helps us analyze and understand fluid flow patterns in a given system.
- Streamlines:
Streamlines in a flow field are imaginary lines that represent the path followed by a fluid element as it moves through the flow. They provide information about the direction of flow at any given point.
- Equipotential lines:
Equipotential lines in a flow field are lines that connect points of equal potential energy. In fluid dynamics, they represent the pressure distribution in the flow field.
- Relationship between streamlines and equipotential lines:
In a flow field, the streamlines and equipotential lines are orthogonal, except at stagnation points. This means that they intersect at right angles, indicating a perpendicular relationship between the two sets of lines.
- Stagnation points:
Stagnation points are locations in the flow field where the velocity of the fluid is zero. At these points, the streamlines and equipotential lines are not orthogonal but are parallel to each other. This is because there is no flow at these points, resulting in a different relationship between the lines.
Overall, the relationship between streamlines and equipotential lines provides valuable insights into the flow behavior and helps us analyze and understand fluid flow patterns in a given system.
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In a flow field, the streamlines and equipotential linesa)Are Parallelb)Are orthogonal every where in the flow fieldc)Cut at any angled)Cut orthogonally except at the stag nation pointsCorrect answer is option 'D'. Can you explain this answer?
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