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Which one of the following number represents the ratio of kinematic viscosity to 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 number represents the ratio of kinematic vi...
Prandtl number is the ratio of two transport properties i.e the ratio of momentum diffusivity and thermal diffusivity. Prandtl number controls the relation between the velocity and temperature distributions.
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Which one of the following number represents the ratio of kinematic vi...
Ratio of Kinematic Viscosity to Thermal Diffusivity
The ratio of kinematic viscosity to thermal diffusivity is represented by the Prandtl number.
Prandtl Number
The Prandtl number (Pr) is a dimensionless number that represents the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity in a fluid. It is defined as:
Pr = ν/α
where ν is the kinematic viscosity and α is the thermal diffusivity.
Significance of Prandtl Number
The Prandtl number is important in fluid mechanics and heat transfer calculations as it determines the relative importance of momentum and thermal diffusion in a fluid.
- A low Prandtl number indicates that momentum diffusivity is much higher than thermal diffusivity. This is the case for fluids such as air and water, and is important in heat transfer applications such as cooling of electronic devices.
- A high Prandtl number indicates that thermal diffusivity is much higher than momentum diffusivity. This is the case for fluids such as oils and molten metals, and is important in heat transfer applications such as casting and welding.
Conclusion
In conclusion, the Prandtl number represents the ratio of kinematic viscosity to thermal diffusivity in a fluid. It is an important parameter in fluid mechanics and heat transfer calculations, as it determines the relative importance of momentum and thermal diffusion.
The ratio of kinematic viscosity to thermal diffusivity is represented by the Prandtl number.
Prandtl Number
The Prandtl number (Pr) is a dimensionless number that represents the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity in a fluid. It is defined as:
Pr = ν/α
where ν is the kinematic viscosity and α is the thermal diffusivity.
Significance of Prandtl Number
The Prandtl number is important in fluid mechanics and heat transfer calculations as it determines the relative importance of momentum and thermal diffusion in a fluid.
- A low Prandtl number indicates that momentum diffusivity is much higher than thermal diffusivity. This is the case for fluids such as air and water, and is important in heat transfer applications such as cooling of electronic devices.
- A high Prandtl number indicates that thermal diffusivity is much higher than momentum diffusivity. This is the case for fluids such as oils and molten metals, and is important in heat transfer applications such as casting and welding.
Conclusion
In conclusion, the Prandtl number represents the ratio of kinematic viscosity to thermal diffusivity in a fluid. It is an important parameter in fluid mechanics and heat transfer calculations, as it determines the relative importance of momentum and thermal diffusion.
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Which one of the following number represents the ratio of kinematic viscosity to thermal diffusivity?a)Grashoff numberb)Prandtl numberc)Mach numberd)Nusselt numberCorrect answer is option 'B'. Can you explain this answer?
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