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The line where the velocity potential is constant is called as______.
- a)equipotential line
- b)flow line
- c)velocity gradient
- d)stream line
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The line where the velocity potential is constant is called as______.a...
Equipotential Line:
An equipotential line is defined as the line where the velocity potential is constant. This means that at any point along an equipotential line, the velocity potential remains the same.
Explanation:
- Velocity Potential: Velocity potential is a scalar function used in fluid dynamics to describe the flow field of a fluid. It is defined as the work done by the fluid per unit mass in moving from a reference point to a given point in the fluid.
- Constant Velocity Potential: When the velocity potential remains constant along a line, that line is called an equipotential line. This implies that the work done per unit mass in moving along that line remains the same.
- Physical Interpretation: Equipotential lines represent lines of constant energy in the flow field. Fluid particles moving along equipotential lines experience the same change in energy.
- Relation to Fluid Flow: Equipotential lines help in visualizing and understanding the flow patterns in a fluid. They provide information about the direction and magnitude of flow at different points in the field.
- Significance: By studying equipotential lines, engineers and researchers can analyze and optimize fluid flow in various applications such as pipeline systems, aerodynamics, and hydraulic structures.
In conclusion, equipotential lines play a crucial role in fluid dynamics by indicating regions of constant velocity potential. Understanding and analyzing these lines can lead to improvements in the design and efficiency of fluid systems.
An equipotential line is defined as the line where the velocity potential is constant. This means that at any point along an equipotential line, the velocity potential remains the same.
Explanation:
- Velocity Potential: Velocity potential is a scalar function used in fluid dynamics to describe the flow field of a fluid. It is defined as the work done by the fluid per unit mass in moving from a reference point to a given point in the fluid.
- Constant Velocity Potential: When the velocity potential remains constant along a line, that line is called an equipotential line. This implies that the work done per unit mass in moving along that line remains the same.
- Physical Interpretation: Equipotential lines represent lines of constant energy in the flow field. Fluid particles moving along equipotential lines experience the same change in energy.
- Relation to Fluid Flow: Equipotential lines help in visualizing and understanding the flow patterns in a fluid. They provide information about the direction and magnitude of flow at different points in the field.
- Significance: By studying equipotential lines, engineers and researchers can analyze and optimize fluid flow in various applications such as pipeline systems, aerodynamics, and hydraulic structures.
In conclusion, equipotential lines play a crucial role in fluid dynamics by indicating regions of constant velocity potential. Understanding and analyzing these lines can lead to improvements in the design and efficiency of fluid systems.
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Community Answer
The line where the velocity potential is constant is called as______.a...
Velocity potential:
The velocity potential is defined as a scalar function of space and time such that its negative derivative with respect to any direction gives the fluid velocity in that direction.
The line where the velocity potential is constant is called an equipotential line.
Flowline:
The flow pattern of any fluid flow system may be described by means of streamlines, pathlines, streak lines.
Velocity gradient:
The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by dv/dx, where dv is the velocity difference and dx is the distance between the layers.
The velocity potential is defined as a scalar function of space and time such that its negative derivative with respect to any direction gives the fluid velocity in that direction.
The line where the velocity potential is constant is called an equipotential line.
Flowline:
The flow pattern of any fluid flow system may be described by means of streamlines, pathlines, streak lines.
Velocity gradient:
The difference in velocity between adjacent layers of the fluid is known as a velocity gradient and is given by dv/dx, where dv is the velocity difference and dx is the distance between the layers.
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