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The solution for velocity, concentration and temperature boundary layers will be same if
- a)Prandtl number = Schmidt number= Lewis number
- b)Prandtl number = 2 Schmidt number= Lewis number
- c)Prandtl number = Schmidt number= 2 Lewis number
- d)2 Prandtl number = Schmidt number= Lewis number
Correct answer is option 'A'. Can you explain this answer?
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The solution for velocity, concentration and temperature boundary laye...
Explanation: All the three boundary layers must coincide.
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The solution for velocity, concentration and temperature boundary laye...
Explanation:
Prandtl number (Pr):
- Prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity.
- It represents the relative thickness of velocity and temperature boundary layers.
Schmidt number (Sc):
- Schmidt number is defined as the ratio of momentum diffusivity to mass diffusivity.
- It represents the relative thickness of velocity and concentration boundary layers.
Lewis number (Le):
- Lewis number is defined as the ratio of thermal diffusivity to mass diffusivity.
- It represents the relative thickness of temperature and concentration boundary layers.
Solution for boundary layers:
- When Prandtl number = Schmidt number = Lewis number, it implies that the ratios of momentum diffusivity to thermal diffusivity, momentum diffusivity to mass diffusivity, and thermal diffusivity to mass diffusivity are all equal.
- This means that the relative thickness of velocity, concentration, and temperature boundary layers are the same.
- Therefore, the solution for velocity, concentration, and temperature boundary layers will be the same under these conditions.
Therefore, option 'A' (Prandtl number = Schmidt number = Lewis number) is the correct choice for when the solution for velocity, concentration, and temperature boundary layers will be the same.
Prandtl number (Pr):
- Prandtl number is defined as the ratio of momentum diffusivity to thermal diffusivity.
- It represents the relative thickness of velocity and temperature boundary layers.
Schmidt number (Sc):
- Schmidt number is defined as the ratio of momentum diffusivity to mass diffusivity.
- It represents the relative thickness of velocity and concentration boundary layers.
Lewis number (Le):
- Lewis number is defined as the ratio of thermal diffusivity to mass diffusivity.
- It represents the relative thickness of temperature and concentration boundary layers.
Solution for boundary layers:
- When Prandtl number = Schmidt number = Lewis number, it implies that the ratios of momentum diffusivity to thermal diffusivity, momentum diffusivity to mass diffusivity, and thermal diffusivity to mass diffusivity are all equal.
- This means that the relative thickness of velocity, concentration, and temperature boundary layers are the same.
- Therefore, the solution for velocity, concentration, and temperature boundary layers will be the same under these conditions.
Therefore, option 'A' (Prandtl number = Schmidt number = Lewis number) is the correct choice for when the solution for velocity, concentration, and temperature boundary layers will be the same.
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The solution for velocity, concentration and temperature boundary layers will be same ifa)Prandtl number = Schmidt number= Lewis numberb)Prandtl number = 2 Schmidt number= Lewis numberc)Prandtl number = Schmidt number= 2 Lewis numberd)2 Prandtl number = Schmidt number= Lewis numberCorrect answer is option 'A'. Can you explain this answer?
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