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In finding Reynold’s number, the characteristic length of circular pipe of diameter d, is taken as
- a)d
- b)2d
- c)5d
- d)10d
Correct answer is option 'A'. Can you explain this answer?
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In finding Reynold’s number, the characteristic length of circul...
Reynold Number
Where U is the average stream velocity and L is the characteristics length/width.
The hydraulic diameter which is used as the characteristic length in determination of friction factor, instead of ordinary geometrical diameter, is defined as
where Aw is the flow area and Pw is the wetted perimeter
Circular pipe of diameter d:
Important Points
Square duct of size a:
The rectangular duct of size a × b:
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In finding Reynold’s number, the characteristic length of circul...
Characteristic Length in Reynold's Number Calculation
The characteristic length in the calculation of Reynold's number for flow in a circular pipe is the diameter of the pipe, denoted by 'd'. This characteristic length is used to determine the flow regime in the pipe.
Explanation
By considering the diameter of the pipe as the characteristic length, engineers and researchers can accurately predict the flow regime and behavior in circular pipes based on Reynold's number calculations.
The characteristic length in the calculation of Reynold's number for flow in a circular pipe is the diameter of the pipe, denoted by 'd'. This characteristic length is used to determine the flow regime in the pipe.
Explanation
- Reynold's number is a dimensionless quantity used in fluid mechanics to predict flow patterns in different fluid flow situations.
- It is defined as the ratio of inertial forces to viscous forces in the flow and is given by Re = (ρ * V * d) / μ, where ρ is the density of the fluid, V is the velocity of the fluid, d is the diameter of the pipe, and μ is the dynamic viscosity of the fluid.
- When calculating Reynold's number for flow in a circular pipe, the characteristic length 'd' is taken as the diameter of the pipe.
- Using the diameter as the characteristic length is appropriate for circular pipes because the flow behavior is mainly influenced by the diameter of the pipe in such cases.
- Therefore, the correct choice for the characteristic length in the calculation of Reynold's number for flow in a circular pipe is option 'A' - d (the diameter of the pipe).
By considering the diameter of the pipe as the characteristic length, engineers and researchers can accurately predict the flow regime and behavior in circular pipes based on Reynold's number calculations.
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In finding Reynold’s number, the characteristic length of circular pipe of diameter d, is taken asa)db)2dc)5dd)10dCorrect answer is option 'A'. Can you explain this answer?
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