Which of the following is true?a)Flow is laminar inside the boundary l...
Explanation: Flows can be characterized as laminar or turbulent on the basis of Reynold’s number Re = ρvd / μ, where ρ is the density, d is the pipe diameter and μ is the viscosity. For Re < 2000, the flow will be laminar and Re > 4000, the ow will be turbulent. For laminar flow, the viscosity effects must be high (μ should be high) as inside the boundary layer. Outside the boundary layer, the viscosity effects are negligible. Hence, the flow will be turbulent.
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Which of the following is true?a)Flow is laminar inside the boundary l...
Flow is laminar inside the boundary layer and turbulent outside
The statement that flow is laminar inside the boundary layer and turbulent outside is true. This is a characteristic of boundary layer flow, which is the thin layer of fluid that forms along a solid surface when it is exposed to a moving fluid. The boundary layer is divided into two regions: the laminar sublayer and the turbulent layer.
Explanation:
1. Boundary Layer Flow:
- When a fluid flows over a solid surface, such as air flowing over an aircraft wing or water flowing over a ship's hull, a boundary layer is formed.
- This boundary layer is a thin layer of fluid that adheres to the surface due to viscous effects.
- The boundary layer flow can be divided into two regions: the laminar sublayer and the turbulent layer.
2. Laminar Sublayer:
- The laminar sublayer is the region of flow closest to the solid surface.
- In this region, the flow is smooth and ordered, with the fluid particles moving in parallel layers.
- The fluid viscosity dominates in this region, and the flow is characterized by low velocity gradients and smooth streamlines.
- The flow in the laminar sublayer is called laminar flow.
3. Turbulent Layer:
- Outside the laminar sublayer, there is a region called the turbulent layer.
- In this region, the flow is characterized by chaotic motion, with the fluid particles moving in irregular patterns.
- The velocity gradients are higher, and the streamlines become more complex and unpredictable.
- The flow in the turbulent layer is called turbulent flow.
4. Transition from Laminar to Turbulent Flow:
- As the fluid flows over the surface, the laminar flow in the boundary layer may transition to turbulent flow.
- This transition occurs due to factors such as flow velocity, surface roughness, and pressure gradient.
- Once the flow becomes turbulent, it remains turbulent as it moves away from the surface.
5. Flow Characteristics:
- Inside the boundary layer, where the fluid is close to the surface, the flow is influenced by the smooth and ordered laminar sublayer.
- Therefore, the flow inside the boundary layer is laminar.
- Outside the boundary layer, where the flow is further away from the surface, the flow is influenced by the chaotic and irregular turbulent layer.
- Therefore, the flow outside the boundary layer is turbulent.
In conclusion, the statement that flow is laminar inside the boundary layer and turbulent outside is true. This is a characteristic of boundary layer flow, where the flow is smooth and ordered inside the laminar sublayer and chaotic and irregular outside the boundary layer.
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