Local Heat Transfer Coefficient Given Stanton Number Calculator

Formula Used:

\[ h_x = St \times \rho_{fluid} \times c \times u_{\infty} \]

Stanton Number (St):

Density of Fluid (ρ):

kg/m³

Specific Heat Capacity (c):

J/kg·K

Free Stream Velocity (u∞):

m/s

Local Heat Transfer Coefficient (hx):

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1. What Is Local Heat Transfer Coefficient?

The local heat transfer coefficient at a particular point on the heat-transfer surface is equal to the local heat flux at this point divided by the local temperature drop. It quantifies the efficiency of heat transfer between a surface and a fluid at a specific location.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ h_x = St \times \rho_{fluid} \times c \times u_{\infty} \]

Where:

\( h_x \) — Local heat transfer coefficient (W/m²·K)
\( St \) — Stanton Number (dimensionless)
\( \rho_{fluid} \) — Density of fluid (kg/m³)
\( c \) — Specific heat capacity (J/kg·K)
\( u_{\infty} \) — Free stream velocity (m/s)

Explanation: This formula calculates the local heat transfer coefficient by multiplying the Stanton number with fluid density, specific heat capacity, and free stream velocity.

3. Importance Of Local Heat Transfer Coefficient

Details: Accurate calculation of local heat transfer coefficient is crucial for designing efficient heat exchangers, cooling systems, and various thermal management applications in engineering.

4. Using The Calculator

Tips: Enter Stanton number (dimensionless), fluid density in kg/m³, specific heat capacity in J/kg·K, and free stream velocity in m/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Stanton number?
A: The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

Q2: Why is local heat transfer coefficient important?
A: It helps engineers analyze heat transfer at specific points on a surface, which is crucial for optimizing thermal performance in various applications.

Q3: What factors affect the local heat transfer coefficient?
A: Fluid properties (density, specific heat), flow characteristics (velocity), and surface conditions all influence the local heat transfer coefficient.

Q4: How does free stream velocity affect heat transfer?
A: Higher free stream velocity typically increases convective heat transfer by reducing the boundary layer thickness and enhancing mixing.

Q5: Can this formula be used for all fluids?
A: The formula is generally applicable to Newtonian fluids, but specific fluid properties and flow conditions should be considered for accurate results.