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Which of the following statements is true regarding one and two-dimensional flows?
- a)Flow in a pipe is always taken as one-dimensional flow
- b)Flow in a pipe is always taken as two-dimensional flow
- c)Flow in a pipe is taken as one-dimensional flow when average flow parameters are considered
- d)Flow in a pipe is taken as two-dimensional flow when average flow parameters are considered
Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements is true regarding one and two-dimens...
Explanation: The flow inside a pipe can be described by the cylindrical co-ordinate system (r; θ; z), where r is in the radial direction, θ in the angular direction and z in the axial direction. For a circular cross-sections, the flow can be taken to be independent of θ. Hence, it can be taken aa a two-dimensional flow. Again if aerage flow parameters are considered to account for the variation in the radial direction, the flow can be taken as an one-dimensional flow.
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Which of the following statements is true regarding one and two-dimens...
One and two-dimensional flows are concepts used in fluid mechanics to describe the movement of fluids in different dimensions. The correct statement regarding these flows is:
Option C: Flow in a pipe is taken as one-dimensional flow when average flow parameters are considered.
Explanation:
- One-dimensional flow: This type of flow occurs when the fluid flows in only one direction and the velocity varies only in the direction of flow. It is also known as a fully developed flow. One-dimensional flow is commonly used to describe flow in pipes, channels, and ducts.
- Two-dimensional flow: This type of flow occurs when the fluid flows in two directions and the velocity varies in both directions. It is commonly used to describe flow over flat surfaces such as wings, airfoils, and plates.
In the case of flow in a pipe, it is taken as one-dimensional flow when average flow parameters are considered. This means that the flow is considered to be fully developed along the length of the pipe, and the velocity varies only in the direction of flow. The following points explain why flow in a pipe is considered as one-dimensional flow:
- Flow in a pipe is mostly laminar, which means that the fluid flows in layers and does not mix across the diameter of the pipe. This leads to fully developed flow along the length of the pipe.
- The velocity profile across the diameter of the pipe is parabolic in laminar flow, and the average velocity is considered as the representative velocity for the flow. This is why average flow parameters are considered in one-dimensional flow.
- In turbulent flow, which occurs at high Reynolds numbers, the velocity profile is not parabolic and varies across the diameter of the pipe. However, even in turbulent flow, the flow is considered to be one-dimensional when average flow parameters such as the mass flow rate or the pressure drop are considered.
In conclusion, flow in a pipe is taken as one-dimensional flow when average flow parameters are considered due to the fully developed flow and the parabolic velocity profile in laminar flow, and the consideration of average parameters even in turbulent flow.
Option C: Flow in a pipe is taken as one-dimensional flow when average flow parameters are considered.
Explanation:
- One-dimensional flow: This type of flow occurs when the fluid flows in only one direction and the velocity varies only in the direction of flow. It is also known as a fully developed flow. One-dimensional flow is commonly used to describe flow in pipes, channels, and ducts.
- Two-dimensional flow: This type of flow occurs when the fluid flows in two directions and the velocity varies in both directions. It is commonly used to describe flow over flat surfaces such as wings, airfoils, and plates.
In the case of flow in a pipe, it is taken as one-dimensional flow when average flow parameters are considered. This means that the flow is considered to be fully developed along the length of the pipe, and the velocity varies only in the direction of flow. The following points explain why flow in a pipe is considered as one-dimensional flow:
- Flow in a pipe is mostly laminar, which means that the fluid flows in layers and does not mix across the diameter of the pipe. This leads to fully developed flow along the length of the pipe.
- The velocity profile across the diameter of the pipe is parabolic in laminar flow, and the average velocity is considered as the representative velocity for the flow. This is why average flow parameters are considered in one-dimensional flow.
- In turbulent flow, which occurs at high Reynolds numbers, the velocity profile is not parabolic and varies across the diameter of the pipe. However, even in turbulent flow, the flow is considered to be one-dimensional when average flow parameters such as the mass flow rate or the pressure drop are considered.
In conclusion, flow in a pipe is taken as one-dimensional flow when average flow parameters are considered due to the fully developed flow and the parabolic velocity profile in laminar flow, and the consideration of average parameters even in turbulent flow.
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Which of the following statements is true regarding one and two-dimensional flows?a)Flow in a pipe is always taken as one-dimensional flowb)Flow in a pipe is always taken as two-dimensional flowc)Flow in a pipe is taken as one-dimensional flow when average flow parameters are consideredd)Flow in a pipe is taken as two-dimensional flow when average flow parameters are consideredCorrect answer is option 'C'. Can you explain this answer?
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