Area Of Absorber In Central Receiver Collector Calculator

Formula Used:

\[ A_{central} = \frac{\pi}{2} \times D_p^2 \times \left(1 + \sin(\Phi_r) - \frac{\cos(\Phi_r)}{2}\right) \]

Area of Absorber in Central Receiver Collector (A_central):

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1. What is the Area of Absorber in Central Receiver Collector?

The Area of Absorber in Central Receiver Collector is defined as the area exposed to the sun that absorbs incident radiation. It is a crucial parameter in solar thermal energy systems where central receiver collectors are used to concentrate and capture solar energy.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ A_{central} = \frac{\pi}{2} \times D_p^2 \times \left(1 + \sin(\Phi_r) - \frac{\cos(\Phi_r)}{2}\right) \]

Where:

\( A_{central} \) — Area of absorber in central receiver collector (m²)
\( D_p \) — Diameter of sphere absorber (m)
\( \Phi_r \) — Rim Angle (radians)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the effective absorber area based on the geometry of the spherical absorber and the rim angle of the collector system.

3. Importance of Absorber Area Calculation

Details: Accurate calculation of the absorber area is essential for designing efficient solar thermal systems. It helps in determining the energy capture capacity, system efficiency, and overall performance of central receiver collectors.

4. Using the Calculator

Tips: Enter the diameter of the sphere absorber in meters and the rim angle in radians. Both values must be positive numbers (diameter > 0, rim angle ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the rim angle in solar collector systems?
A: The rim angle is defined as the angle made by the line joining the absorber and the outermost mirror with the vertical.

Q2: Why is the absorber area important in solar thermal systems?
A: The absorber area determines how much solar radiation can be captured and converted into thermal energy, directly affecting the system's efficiency and output.

Q3: Can this calculator be used for non-spherical absorbers?
A: No, this specific formula is designed for spherical absorbers in central receiver collector systems.

Q4: What units should be used for input values?
A: Diameter should be in meters and rim angle should be in radians.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric formula, provided accurate input values are given.