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Molecular Diffusivity Of Momentum Given Prandtl Number Calculator

Formula Used:

\[ D_m = Pr \times M_{dh} \]

(dimensionless)
m²/s

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1. What is Molecular Diffusivity of Momentum?

Molecular diffusivity of momentum is the spread of momentum between particles (atoms or molecules) of matter, often in the fluid state. It represents how quickly momentum is transferred through a fluid due to molecular motion.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_m = Pr \times M_{dh} \]

Where:

Explanation: The Prandtl Number represents the ratio of momentum diffusivity to thermal diffusivity, allowing calculation of momentum diffusivity when thermal diffusivity is known.

3. Importance of Molecular Diffusivity Calculation

Details: Accurate calculation of molecular diffusivity of momentum is crucial for understanding fluid dynamics, heat transfer processes, and designing efficient thermal systems in various engineering applications.

4. Using the Calculator

Tips: Enter Prandtl Number (dimensionless) and Molecular Diffusivity of Heat in m²/s. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of Prandtl Number?
A: Prandtl Number represents the ratio of momentum diffusivity to thermal diffusivity, indicating the relative ease of momentum transport compared to heat transport in a fluid.

Q2: What are typical values for Molecular Diffusivity of Momentum?
A: Values vary significantly depending on the fluid. For water at 20°C, it's approximately 1×10⁻⁶ m²/s, while for air it's about 1.5×10⁻⁵ m²/s.

Q3: How does temperature affect Molecular Diffusivity?
A: Molecular diffusivity generally increases with temperature as molecular motion becomes more vigorous, enhancing the transfer of momentum and heat.

Q4: What's the difference between molecular and turbulent diffusivity?
A: Molecular diffusivity occurs at the microscopic level due to random molecular motion, while turbulent diffusivity occurs at macroscopic scales due to fluid eddies and turbulence.

Q5: In which engineering applications is this calculation important?
A: This calculation is vital in heat exchanger design, chemical processing, aerodynamics, and any application involving fluid flow and heat transfer.

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