Irradiation For Diffusely Incident Radiation Calculator

Formula Used:

\[ Irradiation = \pi \times \text{Intensity of Incident Radiation} \] \[ G = \pi \times I_i \]

Irradiation (G):

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1. What is Irradiation For Diffusely Incident Radiation?

Irradiation for diffusely incident radiation refers to the total radiant flux incident on a surface from all directions. It represents the total radiation energy received per unit area of a surface when radiation is incident diffusely from all directions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ G = \pi \times I_i \]

Where:

\( G \) — Irradiation (W/m²)
\( \pi \) — Archimedes' constant (approximately 3.14159)
\( I_i \) — Intensity of Incident Radiation (W/m²·sr)

Explanation: The formula calculates the total irradiation by multiplying the intensity of incident radiation by π, accounting for radiation coming from all directions in a hemispherical solid angle.

3. Importance of Irradiation Calculation

Details: Accurate irradiation calculation is crucial for thermal analysis, solar energy systems, radiative heat transfer studies, and various engineering applications involving radiation heat exchange.

4. Using the Calculator

Tips: Enter the intensity of incident radiation in W/m²·sr. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between irradiation and radiosity?
A: Irradiation is the radiation incident on a surface, while radiosity is the radiation leaving a surface (emitted plus reflected radiation).

Q2: Why is π used in the irradiation formula?
A: π is used because it represents the integration over the hemispherical solid angle (2π steradians) for diffusely incident radiation.

Q3: What are typical units for irradiation?
A: Irradiation is typically measured in W/m² (watts per square meter) in the SI system.

Q4: When is this formula applicable?
A: This formula is specifically applicable for diffusely incident radiation where radiation comes uniformly from all directions.

Q5: How does diffuse radiation differ from direct radiation?
A: Diffuse radiation comes from all directions equally, while direct radiation comes from a specific direction (like sunlight).