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The loss of pressure head for the laminar flow through pipes varies-
- a)directly as the velocity
- b)as the square of the velocity
- c)as the inverse of the velocity
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Loss of Pressure Head in Laminar Flow through Pipes
Loss of pressure head is a term used to describe the decrease in pressure energy of a fluid as it flows through a pipe or any other conduit. In laminar flow, the fluid moves in layers or streams with little or no mixing between them. The loss of pressure head for laminar flow through pipes is given by the Hagen-Poiseuille equation, which states that the loss of pressure head is directly proportional to the velocity of the fluid.
Direct Proportionality with Velocity
The loss of pressure head in laminar flow through pipes is directly proportional to the velocity of the fluid. This means that as the velocity of the fluid increases, the loss of pressure head also increases proportionally. The reason for this is that as the fluid moves faster, there is more friction between the fluid and the walls of the pipe, which leads to a greater loss of pressure head.
Square of Velocity
The loss of pressure head in turbulent flow through pipes is proportional to the square of the velocity of the fluid. This is because in turbulent flow, the fluid moves in a chaotic and unpredictable manner, with many eddies and vortices forming. These eddies and vortices create more friction between the fluid and the walls of the pipe, which leads to a greater loss of pressure head.
Inverse of Velocity
The loss of pressure head is not inversely proportional to the velocity of the fluid. If it were, this would mean that as the velocity of the fluid increases, the loss of pressure head would decrease proportionally. However, this is not the case for laminar flow through pipes. Instead, the loss of pressure head is directly proportional to the velocity of the fluid.
Conclusion
In conclusion, the loss of pressure head for laminar flow through pipes is directly proportional to the velocity of the fluid. This means that as the velocity of the fluid increases, the loss of pressure head also increases proportionally. It is important to understand this relationship in order to design and operate piping systems efficiently.
Loss of pressure head is a term used to describe the decrease in pressure energy of a fluid as it flows through a pipe or any other conduit. In laminar flow, the fluid moves in layers or streams with little or no mixing between them. The loss of pressure head for laminar flow through pipes is given by the Hagen-Poiseuille equation, which states that the loss of pressure head is directly proportional to the velocity of the fluid.
Direct Proportionality with Velocity
The loss of pressure head in laminar flow through pipes is directly proportional to the velocity of the fluid. This means that as the velocity of the fluid increases, the loss of pressure head also increases proportionally. The reason for this is that as the fluid moves faster, there is more friction between the fluid and the walls of the pipe, which leads to a greater loss of pressure head.
Square of Velocity
The loss of pressure head in turbulent flow through pipes is proportional to the square of the velocity of the fluid. This is because in turbulent flow, the fluid moves in a chaotic and unpredictable manner, with many eddies and vortices forming. These eddies and vortices create more friction between the fluid and the walls of the pipe, which leads to a greater loss of pressure head.
Inverse of Velocity
The loss of pressure head is not inversely proportional to the velocity of the fluid. If it were, this would mean that as the velocity of the fluid increases, the loss of pressure head would decrease proportionally. However, this is not the case for laminar flow through pipes. Instead, the loss of pressure head is directly proportional to the velocity of the fluid.
Conclusion
In conclusion, the loss of pressure head for laminar flow through pipes is directly proportional to the velocity of the fluid. This means that as the velocity of the fluid increases, the loss of pressure head also increases proportionally. It is important to understand this relationship in order to design and operate piping systems efficiently.
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The loss of pressure head for the laminar flow through pipes varies-a)directly as the velocityb)as the square of the velocityc)as the inverse of the velocityd)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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