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The potential lines in case of a doublet are
- a)circles tangent to the x-axis
- b)circles tangent to the y-axis
- c)concentric circles with center on the x-axis
- d)concentric circles with center on the y-axis
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The potential lines in case of a doublet area)circles tangent to the x...
Streamlines of a doublet are a family of circles tangent to the x-axis and with their centers on the y-axis. The equipotential lines are a family of circles tangent to the y-axis and with their centers on the x-axis.
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The potential lines in case of a doublet area)circles tangent to the x...
Understanding Doublets in Fluid Mechanics
In fluid mechanics, a doublet is a combination of a source and a sink of equal strength very close to each other. The potential lines or streamlines associated with a doublet reveal important characteristics of fluid flow.
Potential Lines of a Doublet
When analyzing the potential lines of a doublet, we consider how these lines behave in relation to the axes in a Cartesian coordinate system.
Option Analysis
- a) Circles Tangent to the X-axis
This option suggests circular paths that touch the x-axis. However, doublets do not create such potential lines.
- b) Circles Tangent to the Y-axis
This is the correct answer. The potential lines resulting from a doublet resemble circles that are tangent to the y-axis. As the doublet is oriented along the x-axis, the flow lines exhibit this circular characteristic.
- c) Concentric Circles with Center on the X-axis
While concentric circles indicate uniform flow, they do not accurately represent the potential lines of a doublet.
- d) Concentric Circles with Center on the Y-axis
Similar to option c, these circles would not represent the nature of the flow induced by a doublet.
Conclusion
In summary, the potential lines of a doublet are best represented by circles that are tangent to the y-axis. This behavior illustrates the unique flow characteristics created by the interaction of a source and sink, confirming option 'b' as the correct choice. Understanding these flow patterns is essential in fluid mechanics and applications like aerodynamics and hydrodynamics.
In fluid mechanics, a doublet is a combination of a source and a sink of equal strength very close to each other. The potential lines or streamlines associated with a doublet reveal important characteristics of fluid flow.
Potential Lines of a Doublet
When analyzing the potential lines of a doublet, we consider how these lines behave in relation to the axes in a Cartesian coordinate system.
Option Analysis
- a) Circles Tangent to the X-axis
This option suggests circular paths that touch the x-axis. However, doublets do not create such potential lines.
- b) Circles Tangent to the Y-axis
This is the correct answer. The potential lines resulting from a doublet resemble circles that are tangent to the y-axis. As the doublet is oriented along the x-axis, the flow lines exhibit this circular characteristic.
- c) Concentric Circles with Center on the X-axis
While concentric circles indicate uniform flow, they do not accurately represent the potential lines of a doublet.
- d) Concentric Circles with Center on the Y-axis
Similar to option c, these circles would not represent the nature of the flow induced by a doublet.
Conclusion
In summary, the potential lines of a doublet are best represented by circles that are tangent to the y-axis. This behavior illustrates the unique flow characteristics created by the interaction of a source and sink, confirming option 'b' as the correct choice. Understanding these flow patterns is essential in fluid mechanics and applications like aerodynamics and hydrodynamics.
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