Heat Transfer Between Small Convex Object In Large Enclosure Calculator

Heat Transfer Formula:

\[ q = A_1 \times \varepsilon_1 \times \sigma \times (T_1^4 - T_2^4) \]

Surface Area of Body 1 (A₁):

m²

Emissivity of Body 1 (ε₁):

Temperature of Surface 1 (T₁):

Temperature of Surface 2 (T₂):

Heat Transfer (q):

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1. What is Heat Transfer Between Small Convex Object In Large Enclosure?

This calculator computes the radiative heat transfer between a small convex object and a large enclosure using the Stefan-Boltzmann law. The formula accounts for the temperature difference and surface properties of the objects involved in the heat exchange process.

2. How Does the Calculator Work?

The calculator uses the heat transfer formula:

\[ q = A_1 \times \varepsilon_1 \times \sigma \times (T_1^4 - T_2^4) \]

Where:

\( q \) — Heat transfer rate (W)
\( A_1 \) — Surface area of body 1 (m²)
\( \varepsilon_1 \) — Emissivity of body 1 (0-1)
\( \sigma \) — Stefan-Boltzmann constant (5.670367 × 10⁻⁸ W/m²K⁴)
\( T_1 \) — Temperature of surface 1 (K)
\( T_2 \) — Temperature of surface 2 (K)

Explanation: The formula calculates the net radiative heat transfer between two surfaces based on their temperature difference and material properties.

3. Importance of Heat Transfer Calculation

Details: Accurate heat transfer calculation is crucial for thermal system design, energy efficiency analysis, and understanding heat exchange processes in various engineering applications.

4. Using the Calculator

Tips: Enter surface area in m², emissivity between 0-1, and temperatures in Kelvin. All values must be positive and physically meaningful.

5. Frequently Asked Questions (FAQ)

Q1: What is the Stefan-Boltzmann constant?
A: The Stefan-Boltzmann constant (σ) is a physical constant that describes the power radiated from a black body in terms of its temperature, equal to 5.670367 × 10⁻⁸ W/m²K⁴.

Q2: What does emissivity represent?
A: Emissivity is a measure of how efficiently a surface emits thermal radiation compared to a perfect black body, ranging from 0 (perfect reflector) to 1 (perfect emitter).

Q3: Why are temperatures in Kelvin?
A: The Stefan-Boltzmann law requires absolute temperature measurements, making Kelvin the appropriate unit for thermal radiation calculations.

Q4: What are typical emissivity values?
A: Typical values range from 0.9-0.95 for black surfaces, 0.2-0.4 for polished metals, and 0.8-0.9 for most building materials.

Q5: When is this formula applicable?
A: This formula is specifically for radiative heat transfer between a small convex object and a large enclosure where the enclosure acts as a black body cavity.