Local Stanton Number Calculator

Local Stanton Number Formula:

\[ St_x = \frac{h_x}{\rho_{Fluid} \times C_p \times u_{\infty}} \]

Local Heat Transfer Coefficient (hx):

W/m²·K

Density of Fluid (ρFluid):

kg/m³

Specific Heat at Constant Pressure (Cp):

J/kg·K

Free Stream Velocity (u∞):

m/s

Local Stanton Number (Stx):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Local Stanton Number?

The Local Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. It provides insight into the efficiency of heat transfer in fluid flow systems.

2. How Does the Calculator Work?

The calculator uses the Local Stanton Number formula:

\[ St_x = \frac{h_x}{\rho_{Fluid} \times C_p \times u_{\infty}} \]

Where:

\( St_x \) — Local Stanton Number (dimensionless)
\( h_x \) — Local heat transfer coefficient (W/m²·K)
\( \rho_{Fluid} \) — Density of fluid (kg/m³)
\( C_p \) — Specific heat at constant pressure (J/kg·K)
\( u_{\infty} \) — Free stream velocity (m/s)

Explanation: The Stanton number represents the ratio of convective heat transfer to the fluid's capacity for heat transport.

3. Importance of Stanton Number Calculation

Details: The Stanton number is crucial in heat transfer analysis as it helps characterize the efficiency of heat transfer in boundary layers and is used in various engineering applications including heat exchangers, cooling systems, and aerodynamic heating studies.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all input values are positive numbers. The calculator will compute the dimensionless Stanton number based on your inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of Stanton numbers?
A: Stanton numbers typically range from 0.001 to 0.01 for most engineering applications, though this can vary depending on the specific flow conditions and fluid properties.

Q2: How does Stanton number relate to other dimensionless numbers?
A: The Stanton number is related to the Nusselt number (Nu), Reynolds number (Re), and Prandtl number (Pr) through the relationship: St = Nu/(Re·Pr).

Q3: When is the local Stanton number used versus the average Stanton number?
A: The local Stanton number is used for point analysis in boundary layers, while the average Stanton number is used for overall system performance evaluation.

Q4: What factors affect the Stanton number value?
A: Flow velocity, fluid properties (density, specific heat), surface roughness, and temperature gradients all influence the Stanton number value.

Q5: Can Stanton number be used for both laminar and turbulent flows?
A: Yes, the Stanton number concept applies to both flow regimes, though the correlation formulas differ between laminar and turbulent flows.