Static Temperature Of Fluid Over Flat Plate Calculator

Formula Used:

\[ \text{Static Temperature} = \frac{\text{Temperature of wall in Kelvin}}{\left(\frac{\text{Static density}}{\text{Wall Density}}\right)} \] \[ T_{\text{static}} = \frac{T_w}{\left(\frac{\rho_e}{\rho_w}\right)} \]

Static Temperature:

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1. What Is The Static Temperature Of Fluid Over Flat Plate?

The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing. It represents the thermodynamic temperature of the fluid in a stationary state.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ T_{\text{static}} = \frac{T_w}{\left(\frac{\rho_e}{\rho_w}\right)} \]

Where:

\( T_{\text{static}} \) — Static Temperature (K)
\( T_w \) — Temperature of wall in Kelvin (K)
\( \rho_e \) — Static density (kg/m³)
\( \rho_w \) — Wall Density (kg/m³)

Explanation: This formula calculates the static temperature of a fluid based on the wall temperature and the density ratio between static conditions and wall conditions.

3. Importance Of Static Temperature Calculation

Details: Static temperature calculation is crucial in fluid dynamics and heat transfer analysis, particularly in boundary layer studies and aerodynamic heating calculations for flat plate configurations.

4. Using The Calculator

Tips: Enter wall temperature in Kelvin, static density in kg/m³, and wall density in kg/m³. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between static temperature and stagnation temperature?
A: Static temperature is the temperature measured by a thermometer moving with the fluid, while stagnation temperature includes the kinetic energy component and is higher than static temperature.

Q2: When is this formula particularly useful?
A: This formula is particularly useful in turbulent flow conditions where density varies significantly near the wall due to high viscous effects.

Q3: What are typical applications of this calculation?
A: Typical applications include aerodynamic heating analysis, boundary layer studies, and thermal management in various engineering systems.

Q4: Are there limitations to this equation?
A: This approach assumes certain simplifications and may be less accurate in extreme flow conditions or for complex geometries beyond flat plate configurations.

Q5: What units should be used for input values?
A: All temperature values should be in Kelvin, and density values should be in kg/m³ for consistent results.