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If one of the walls moves in the direction of flow with uniform velocity while the other wall is stationary, then the resulting flow between parallel walls is called ______.
- a)Plug flow
- b)Stoke's flow
- c)Couette flow
- d)Euler's flow
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If one of the walls moves in the direction of flow with uniform veloci...
Couette flow is the flow of a viscous fluid in the space between two surfaces, one of which is moving tangentially relative to the other. The configuration often takes the form of two parallel plates or the gap between two concentric cylinders.
In plug flow, the velocity of the fluid is assumed to be constant across any cross-section of the pipe perpendicular to the axis of the pipe. The plug flow model assumes there is no boundary layer adjacent to the inner wall of the pipe.
Stokes flow or creeping flow is a type of fluid flow where advective inertial forces are small compared with viscous forces. The Reynolds number is low i.e. Re≪1. This is a typical situation in flows where the fluid velocities are very slow, the viscosities are very large.
In plug flow, the velocity of the fluid is assumed to be constant across any cross-section of the pipe perpendicular to the axis of the pipe. The plug flow model assumes there is no boundary layer adjacent to the inner wall of the pipe.
Stokes flow or creeping flow is a type of fluid flow where advective inertial forces are small compared with viscous forces. The Reynolds number is low i.e. Re≪1. This is a typical situation in flows where the fluid velocities are very slow, the viscosities are very large.
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If one of the walls moves in the direction of flow with uniform veloci...
Couette flow refers to the resulting flow between parallel walls when one of the walls moves in the direction of flow with uniform velocity while the other wall is stationary. It is named after the French physicist Maurice Marie Alfred Couette, who first studied this type of flow.
Explanation:
1. Couette Flow Definition:
- Couette flow is a type of laminar flow that occurs between two parallel plates.
- In this flow, one of the plates is in motion, while the other plate remains stationary.
- The moving plate imparts a velocity to the fluid, which results in a shearing effect between the fluid layers.
- This shearing effect causes the fluid layers to move at different velocities, with the maximum velocity occurring near the moving plate.
2. Flow Characteristics:
- Couette flow is characterized by the formation of velocity gradients across the fluid layer.
- The velocity profile in Couette flow is linear, with the maximum velocity occurring near the moving plate and decreasing linearly towards the stationary plate.
- The flow is fully developed when the velocity profile becomes constant across the fluid layer, indicating that the flow has reached a steady state.
3. Applications of Couette Flow:
- Couette flow has various applications in both industrial and scientific fields.
- It is commonly used in viscometers, which are devices used to measure the viscosity of fluids.
- Couette flow is also used in lubrication systems, where the shearing effect between fluid layers helps in reducing friction between moving parts.
- Additionally, Couette flow is relevant in the study of fluid dynamics and the understanding of boundary layer behavior.
In conclusion, Couette flow is the resulting flow between parallel walls when one wall moves in the direction of flow with uniform velocity while the other wall remains stationary. It is characterized by velocity gradients across the fluid layer, with a linear velocity profile and maximum velocity near the moving wall. Couette flow finds applications in various fields, including viscometry and lubrication systems.
Explanation:
1. Couette Flow Definition:
- Couette flow is a type of laminar flow that occurs between two parallel plates.
- In this flow, one of the plates is in motion, while the other plate remains stationary.
- The moving plate imparts a velocity to the fluid, which results in a shearing effect between the fluid layers.
- This shearing effect causes the fluid layers to move at different velocities, with the maximum velocity occurring near the moving plate.
2. Flow Characteristics:
- Couette flow is characterized by the formation of velocity gradients across the fluid layer.
- The velocity profile in Couette flow is linear, with the maximum velocity occurring near the moving plate and decreasing linearly towards the stationary plate.
- The flow is fully developed when the velocity profile becomes constant across the fluid layer, indicating that the flow has reached a steady state.
3. Applications of Couette Flow:
- Couette flow has various applications in both industrial and scientific fields.
- It is commonly used in viscometers, which are devices used to measure the viscosity of fluids.
- Couette flow is also used in lubrication systems, where the shearing effect between fluid layers helps in reducing friction between moving parts.
- Additionally, Couette flow is relevant in the study of fluid dynamics and the understanding of boundary layer behavior.
In conclusion, Couette flow is the resulting flow between parallel walls when one wall moves in the direction of flow with uniform velocity while the other wall remains stationary. It is characterized by velocity gradients across the fluid layer, with a linear velocity profile and maximum velocity near the moving wall. Couette flow finds applications in various fields, including viscometry and lubrication systems.
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If one of the walls moves in the direction of flow with uniform velocity while the other wall is stationary, then the resulting flow between parallel walls is called ______.a)Plug flowb)Stoke's flowc)Couette flowd)Euler's flowCorrect answer is option 'C'. Can you explain this answer?
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If one of the walls moves in the direction of flow with uniform velocity while the other wall is stationary, then the resulting flow between parallel walls is called ______.a)Plug flowb)Stoke's flowc)Couette flowd)Euler's flowCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If one of the walls moves in the direction of flow with uniform velocity while the other wall is stationary, then the resulting flow between parallel walls is called ______.a)Plug flowb)Stoke's flowc)Couette flowd)Euler's flowCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If one of the walls moves in the direction of flow with uniform velocity while the other wall is stationary, then the resulting flow between parallel walls is called ______.a)Plug flowb)Stoke's flowc)Couette flowd)Euler's flowCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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