Free Stream Velocity Of Flat Plate In Internal Turbulent Flow Calculator

Formula Used:

\[ u_{\infty} = \frac{8 \times k_L \times (Sc^{0.67})}{f} \]

Free Stream Velocity (u∞):

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1. What is Free Stream Velocity?

Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity. In internal turbulent flow over a flat plate, this represents the undisturbed flow velocity away from the boundary layer.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ u_{\infty} = \frac{8 \times k_L \times (Sc^{0.67})}{f} \]

Where:

\( u_{\infty} \) — Free Stream Velocity (m/s)
\( k_L \) — Convective Mass Transfer Coefficient (m/s)
\( Sc \) — Schmidt Number (dimensionless)
\( f \) — Friction Factor (dimensionless)

Explanation: This formula relates free stream velocity to convective mass transfer coefficient, Schmidt number, and friction factor in turbulent flow conditions over a flat plate.

3. Importance of Free Stream Velocity Calculation

Details: Calculating free stream velocity is crucial for understanding fluid dynamics in internal flows, designing heat and mass transfer systems, and analyzing boundary layer behavior in turbulent flow conditions.

4. Using the Calculator

Tips: Enter convective mass transfer coefficient in m/s, Schmidt number (dimensionless), and friction factor (dimensionless). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Schmidt number?
A: Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.

Q2: How is convective mass transfer coefficient determined?
A: Convective mass transfer coefficient is a function of geometry of the system and the velocity and properties of the fluid, similar to the heat transfer coefficient.

Q3: What affects the friction factor in turbulent flow?
A: The friction factor in turbulent flow depends on Reynolds number and the relative roughness of the surface.

Q4: When is this formula applicable?
A: This formula is specifically designed for internal turbulent flow over flat plates and may not be accurate for other flow conditions or geometries.

Q5: What are typical ranges for these parameters?
A: Schmidt numbers typically range from 0.1 to 10,000 depending on the fluid, friction factors range from 0.01 to 0.1 for turbulent flow, and mass transfer coefficients vary widely based on system conditions.