Wall Enthalpy Over Flat Plate Using Stanton Number Calculator

Wall Enthalpy Formula:

\[ h_w = h_{aw} - \frac{q_w}{\rho_{\infty} \times V_{\infty} \times St} \]

Adiabatic Wall Enthalpy:

J/kg

Local Heat Transfer Rate:

W/m²

Freestream Density:

kg/m³

Freestream Velocity:

m/s

Stanton Number:

Wall Enthalpy:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Wall Enthalpy Over Flat Plate?

Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature. This calculation is particularly important in aerodynamics and heat transfer studies involving flat plate surfaces.

2. How Does the Calculator Work?

The calculator uses the Wall Enthalpy formula:

\[ h_w = h_{aw} - \frac{q_w}{\rho_{\infty} \times V_{\infty} \times St} \]

Where:

\( h_w \) — Wall Enthalpy (J/kg)
\( h_{aw} \) — Adiabatic Wall Enthalpy (J/kg)
\( q_w \) — Local Heat Transfer Rate (W/m²)
\( \rho_{\infty} \) — Freestream Density (kg/m³)
\( V_{\infty} \) — Freestream Velocity (m/s)
\( St \) — Stanton Number (dimensionless)

Explanation: The equation calculates the wall enthalpy by subtracting the heat transfer component from the adiabatic wall enthalpy, considering the fluid properties and flow conditions.

3. Importance of Wall Enthalpy Calculation

Details: Accurate wall enthalpy calculation is crucial for thermal analysis in aerospace engineering, determining heat transfer characteristics, and designing thermal protection systems for high-speed vehicles.

4. Using the Calculator

Tips: Enter all values in appropriate units. Adiabatic wall enthalpy and wall enthalpy are in J/kg, heat transfer rate in W/m², density in kg/m³, velocity in m/s, and Stanton number is dimensionless. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Stanton number in this calculation?
A: The Stanton number represents the ratio of heat transferred into the fluid to the thermal capacity of the fluid, making it crucial for convective heat transfer calculations.

Q2: When is this calculation typically used?
A: This calculation is commonly used in aerospace engineering for thermal analysis of aircraft surfaces, re-entry vehicles, and high-speed aerodynamic applications.

Q3: What are typical values for Stanton number?
A: Stanton number typically ranges from 0.001 to 0.01 for most aerodynamic applications, depending on flow conditions and surface properties.

Q4: Are there limitations to this equation?
A: This equation assumes steady-state conditions and may need modifications for compressible flows, chemical reactions, or non-flat surfaces.

Q5: How does freestream velocity affect wall enthalpy?
A: Higher freestream velocity generally increases convective heat transfer, which affects the wall enthalpy calculation through the denominator term.