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The critical value of Reynolds number for transition from laminar toturbulent boundary layer in external flows is taken as:
- a)2300
- b)4000
- c)5 × 105
- d)3 × 106
Correct answer is option 'C'. Can you explain this answer?
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The critical value of Reynolds number for transition from laminar totu...
Ans. (c)
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Explanation:
Reynolds Number:
The Reynolds number is a dimensionless quantity that is used to predict the flow pattern in different fluid flow situations. It is defined as the ratio of inertial forces to viscous forces in a fluid flow.
Critical Reynolds Number:
The critical Reynolds number is the value at which the flow transitions from laminar to turbulent boundary layer in external flows.
Transition from Laminar to Turbulent Boundary Layer:
When the Reynolds number exceeds a certain critical value, the flow changes from a smooth, orderly laminar flow to a chaotic turbulent flow. This transition is important in understanding the behavior of fluid flows.
Value for Transition:
The critical value of Reynolds number for transition from laminar to turbulent boundary layer in external flows is typically taken as 5 x 10^5 (5 × 10^5). This value is based on experimental observations and theoretical analysis of fluid flow behavior.
Significance of the Value:
The value of 5 × 10^5 is widely accepted as the critical Reynolds number for transition because it represents the point at which the flow becomes unstable and turbulent effects start to dominate over laminar effects in the boundary layer.
Conclusion:
In conclusion, the critical Reynolds number for transition from laminar to turbulent boundary layer in external flows is considered to be 5 × 10^5. This value helps engineers and researchers understand and predict the behavior of fluid flows in various applications.
Reynolds Number:
The Reynolds number is a dimensionless quantity that is used to predict the flow pattern in different fluid flow situations. It is defined as the ratio of inertial forces to viscous forces in a fluid flow.
Critical Reynolds Number:
The critical Reynolds number is the value at which the flow transitions from laminar to turbulent boundary layer in external flows.
Transition from Laminar to Turbulent Boundary Layer:
When the Reynolds number exceeds a certain critical value, the flow changes from a smooth, orderly laminar flow to a chaotic turbulent flow. This transition is important in understanding the behavior of fluid flows.
Value for Transition:
The critical value of Reynolds number for transition from laminar to turbulent boundary layer in external flows is typically taken as 5 x 10^5 (5 × 10^5). This value is based on experimental observations and theoretical analysis of fluid flow behavior.
Significance of the Value:
The value of 5 × 10^5 is widely accepted as the critical Reynolds number for transition because it represents the point at which the flow becomes unstable and turbulent effects start to dominate over laminar effects in the boundary layer.
Conclusion:
In conclusion, the critical Reynolds number for transition from laminar to turbulent boundary layer in external flows is considered to be 5 × 10^5. This value helps engineers and researchers understand and predict the behavior of fluid flows in various applications.
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The critical value of Reynolds number for transition from laminar toturbulent boundary layer in external flows is taken as:a)2300b)4000c)5 × 105d)3 × 106Correct answer is option 'C'. Can you explain this answer?
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