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For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?
- a)It increases until the flow is fully developed.
- b)It is constant and is equal to the average velocity in the fully developed region.
- c)It decreases until the flow is fully developed.
- d)It is constant but always lower than the average velocity in the fully developed region.
Correct answer is option 'B'. Can you explain this answer?
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For steady flow of a viscous incompressible fluid through a circular p...
The average velocity in pipe flow always be same either for developing flow or fully developed flow.
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For steady flow of a viscous incompressible fluid through a circular p...
Average Velocity in the Developing Region
The statement provided states that for the steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. We need to determine the true statement about the average velocity in the developing region.
Explanation:
1. Fully Developed Region:
In a circular pipe, the fully developed region refers to the region where the flow has reached a steady state and the velocity profile remains constant across the pipe's diameter. In this region, the flow is fully developed, and the average velocity is constant.
2. Developing Region:
The developing region refers to the initial section of the pipe where the flow is not fully developed. In this region, the flow velocity profile is changing as the fluid adjusts to the pipe's geometry and boundary conditions.
3. Average Velocity in the Developing Region:
The true statement about the average velocity in the developing region is option 'B': It is constant and is equal to the average velocity in the fully developed region.
- The average velocity in the developing region remains constant because the velocity profile, though changing, maintains a balance between the fluid entering and leaving the section.
- As the flow progresses through the developing region, the velocity profile gradually approaches the fully developed profile. However, the average velocity remains constant throughout this region.
- The average velocity in the developing region is equal to the average velocity in the fully developed region because the flow rate remains constant along the pipe's length.
- The steady flow conditions ensure that the mass flow rate entering the pipe is equal to the mass flow rate leaving the pipe. Therefore, the average velocity in the developing region is the same as the average velocity in the fully developed region.
Conclusion:
In summary, the average velocity in the developing region of a circular pipe for the steady flow of a viscous incompressible fluid is constant and equal to the average velocity in the fully developed region.
The statement provided states that for the steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. We need to determine the true statement about the average velocity in the developing region.
Explanation:
1. Fully Developed Region:
In a circular pipe, the fully developed region refers to the region where the flow has reached a steady state and the velocity profile remains constant across the pipe's diameter. In this region, the flow is fully developed, and the average velocity is constant.
2. Developing Region:
The developing region refers to the initial section of the pipe where the flow is not fully developed. In this region, the flow velocity profile is changing as the fluid adjusts to the pipe's geometry and boundary conditions.
3. Average Velocity in the Developing Region:
The true statement about the average velocity in the developing region is option 'B': It is constant and is equal to the average velocity in the fully developed region.
- The average velocity in the developing region remains constant because the velocity profile, though changing, maintains a balance between the fluid entering and leaving the section.
- As the flow progresses through the developing region, the velocity profile gradually approaches the fully developed profile. However, the average velocity remains constant throughout this region.
- The average velocity in the developing region is equal to the average velocity in the fully developed region because the flow rate remains constant along the pipe's length.
- The steady flow conditions ensure that the mass flow rate entering the pipe is equal to the mass flow rate leaving the pipe. Therefore, the average velocity in the developing region is the same as the average velocity in the fully developed region.
Conclusion:
In summary, the average velocity in the developing region of a circular pipe for the steady flow of a viscous incompressible fluid is constant and equal to the average velocity in the fully developed region.
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For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer?
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For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer?.
For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?a)It increases until the flow is fully developed.b)It is constant and is equal to the average velocity in the fully developed region.c)It decreases until the flow is fully developed.d)It is constant but always lower than the average velocity in the fully developed region.Correct answer is option 'B'. Can you explain this answer?.
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