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The factional resistance of a pipe varies approximately with __________ of the liquid.
- a)pressure
- b)velocity
- c)square of velocity
- d)cube of velocity
Correct answer is option 'C'. Can you explain this answer?
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The factional resistance of a pipe varies approximately with _________...
Factional Resistance of a Pipe
The resistance of a fluid flowing through a pipe is known as the frictional resistance. It is the force that opposes the motion of the fluid. The frictional resistance of a pipe is an important factor in the design and operation of pipelines. It depends on several factors such as the viscosity of the fluid, the diameter of the pipe, the length of the pipe, and the velocity of the fluid.
Velocity of the Liquid
The frictional resistance of a pipe varies approximately with the square of the velocity of the liquid. This means that if the velocity of the liquid is doubled, the frictional resistance will be four times greater. The square of the velocity is proportional to the kinetic energy of the fluid. The kinetic energy of the fluid is converted into heat due to the frictional resistance. Therefore, the heat generated by the frictional resistance is proportional to the square of the velocity.
Velocity Profile
The velocity profile of a fluid flowing through a pipe is not uniform. The velocity is maximum at the center of the pipe and decreases towards the wall of the pipe. This is due to the frictional resistance between the fluid and the wall of the pipe. The velocity profile is affected by the viscosity of the fluid, the diameter of the pipe, and the velocity of the fluid.
Reynolds Number
The Reynolds number is a dimensionless quantity that is used to determine the type of flow in a pipe. It is calculated by dividing the product of the density, velocity, and diameter of the pipe by the viscosity of the fluid. If the Reynolds number is less than 2000, the flow is laminar. If it is between 2000 and 4000, the flow is transitional. If it is greater than 4000, the flow is turbulent. The frictional resistance is higher in turbulent flow than in laminar flow.
Conclusion
In conclusion, the frictional resistance of a pipe is affected by several factors such as the viscosity of the fluid, the diameter of the pipe, the length of the pipe, and the velocity of the fluid. The frictional resistance varies approximately with the square of the velocity of the liquid. The velocity profile of the fluid is not uniform and is affected by the Reynolds number. The Reynolds number is used to determine the type of flow in a pipe.
The resistance of a fluid flowing through a pipe is known as the frictional resistance. It is the force that opposes the motion of the fluid. The frictional resistance of a pipe is an important factor in the design and operation of pipelines. It depends on several factors such as the viscosity of the fluid, the diameter of the pipe, the length of the pipe, and the velocity of the fluid.
Velocity of the Liquid
The frictional resistance of a pipe varies approximately with the square of the velocity of the liquid. This means that if the velocity of the liquid is doubled, the frictional resistance will be four times greater. The square of the velocity is proportional to the kinetic energy of the fluid. The kinetic energy of the fluid is converted into heat due to the frictional resistance. Therefore, the heat generated by the frictional resistance is proportional to the square of the velocity.
Velocity Profile
The velocity profile of a fluid flowing through a pipe is not uniform. The velocity is maximum at the center of the pipe and decreases towards the wall of the pipe. This is due to the frictional resistance between the fluid and the wall of the pipe. The velocity profile is affected by the viscosity of the fluid, the diameter of the pipe, and the velocity of the fluid.
Reynolds Number
The Reynolds number is a dimensionless quantity that is used to determine the type of flow in a pipe. It is calculated by dividing the product of the density, velocity, and diameter of the pipe by the viscosity of the fluid. If the Reynolds number is less than 2000, the flow is laminar. If it is between 2000 and 4000, the flow is transitional. If it is greater than 4000, the flow is turbulent. The frictional resistance is higher in turbulent flow than in laminar flow.
Conclusion
In conclusion, the frictional resistance of a pipe is affected by several factors such as the viscosity of the fluid, the diameter of the pipe, the length of the pipe, and the velocity of the fluid. The frictional resistance varies approximately with the square of the velocity of the liquid. The velocity profile of the fluid is not uniform and is affected by the Reynolds number. The Reynolds number is used to determine the type of flow in a pipe.
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The factional resistance of a pipe varies approximately with __________ of the liquid.a)pressureb)velocityc)square of velocityd)cube of velocityCorrect answer is option 'C'. Can you explain this answer?
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