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Which one of the following numbers represents the ratio of kinematic viscosity to the thermal diffusivity?
- a)Grashoff number
- b)Prandtl number
- c)Mach number
- d)Nusselt number
Correct answer is option 'B'. Can you explain this answer?
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Which one of the following numbers represents the ratio of kinematic v...
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Which one of the following numbers represents the ratio of kinematic v...
Prandtl Number
The Prandtl number is a dimensionless number used in fluid mechanics to describe the ratio of kinematic viscosity to thermal diffusivity. It is named after the German physicist Ludwig Prandtl.
Formula
The formula for Prandtl number is:
Pr = ν / α
where
- Pr is the Prandtl number
- ν is the kinematic viscosity of the fluid
- α is the thermal diffusivity of the fluid
Interpretation
The Prandtl number is important in the study of convective heat transfer. It is used to determine the relative importance of momentum and heat transfer mechanisms in a fluid. A high Prandtl number indicates that momentum transfer is more important than heat transfer, and vice versa for a low Prandtl number.
Applications
The Prandtl number is used in many applications in fluid mechanics, including:
- Thermal boundary layer analysis
- Natural convection heat transfer
- Forced convection heat transfer
- Turbulent flow analysis
Conclusion
In conclusion, the Prandtl number represents the ratio of kinematic viscosity to thermal diffusivity. It is an important parameter in the study of convective heat transfer and is used in many applications in fluid mechanics.
The Prandtl number is a dimensionless number used in fluid mechanics to describe the ratio of kinematic viscosity to thermal diffusivity. It is named after the German physicist Ludwig Prandtl.
Formula
The formula for Prandtl number is:
Pr = ν / α
where
- Pr is the Prandtl number
- ν is the kinematic viscosity of the fluid
- α is the thermal diffusivity of the fluid
Interpretation
The Prandtl number is important in the study of convective heat transfer. It is used to determine the relative importance of momentum and heat transfer mechanisms in a fluid. A high Prandtl number indicates that momentum transfer is more important than heat transfer, and vice versa for a low Prandtl number.
Applications
The Prandtl number is used in many applications in fluid mechanics, including:
- Thermal boundary layer analysis
- Natural convection heat transfer
- Forced convection heat transfer
- Turbulent flow analysis
Conclusion
In conclusion, the Prandtl number represents the ratio of kinematic viscosity to thermal diffusivity. It is an important parameter in the study of convective heat transfer and is used in many applications in fluid mechanics.
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Which one of the following numbers represents the ratio of kinematic viscosity to the thermal diffusivity?a)Grashoff numberb)Prandtl numberc)Mach numberd)Nusselt numberCorrect answer is option 'B'. Can you explain this answer?
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