Grey Diffusive Radiation - Boundary Condition

Grey Diffusive Radiation - Boundary Condition   Description

Grey Diffusive Radiation establishes a grey-diffuse scenario for radiation intensity, \(I\), to be used with the finite-volume discrete-ordinates model (fvDOM). The radiation temperature is derived from the boundary condition of the temperature field.

"Grey" means radiation properties are independent of wavelength, and "diffuse" indicates uniform distribution across all angles. This condition handles the interplay of radiative and convective heat transfer at surfaces, crucial for high-temperature applications where both modes are significant.

Grey Diffusive Radiation - Boundary Condition   Understanding Grey Diffusive Radiation

The Grey Diffusive Radiation boundary condition assumes grey-body radiation (wavelength-independent) and diffuse emission/reflection. It integrates radiative intensity with convective heat transfer, deriving radiation temperature from the temperature field boundary condition.

This allows for accurate modeling of heat transfer in environments where both radiation and convection are important, such as high-temperature furnaces or electronic cooling.

Grey Diffusive Radiation - Boundary Condition   Application & Physical Interpretation

The Grey Diffusive Radiation is used in simulations requiring detailed radiative transfer with the fvDOM model, where grey and diffuse assumptions are valid.

Grey Diffusive Radiation in Industrial Furnace Design

Example applications: furnaces, combustion chambers

This problem can be solved using the chtMultiRegionFoam (solver).

The Grey Diffusive Radiation models heat exchange between hot gases and walls via radiation and convection.

Example Boundary Conditions set for Industrial Furnace Design
PhysicsTemperatureRadiative Intensity

Furnace Wall

Fixed Value

Grey Diffusive Radiation

Inlet

Fixed Value

Fixed Value

Outlet

Zero Gradient

Zero Gradient

Grey Diffusive Radiation in Thermal Management of Electronic Devices

Example applications: electronics cooling, solar panels

This problem can be solved using the chtMultiRegionSimpleFoam (solver).

The Grey Diffusive Radiation accounts for radiative emission from hot components and convective cooling.

Example Boundary Conditions set for Thermal Management
PhysicsTemperatureRadiative Intensity

Electronic Component

Heat Source

Grey Diffusive Radiation

Air Inlet

Fixed Value

Fixed Value

Outlet

Zero Gradient

Zero Gradient

Example usage of Grey Diffusive Radiation for Thermal Management in SimFlow
TutorialDescription

Electronics Cooling

Analysis of heat dissipation in electronic devices with radiation and convection.

Grey Diffusive Radiation - Boundary Condition   Grey Diffusive Radiation in SimFlow

To define the Grey Diffusive Radiation boundary condition in SimFlow, radiation must be enabled and the Discrete Ordinates (fvDOM) model selected. Navigate to the Boundary Conditions panel, select the appropriate boundary, and choose Grey Diffusive Radiation from the drop-down menu.

Define the surface properties: emissivity, absorptivity, and transmissivity.

Grey Diffusive Radiation definition in SimFlow
Figure 1. Grey Diffusive Radiation definition in SimFlow

Grey Diffusive Radiation - Boundary Condition   Grey Diffusive Radiation - Alternatives

In this section, we propose boundary conditions that are alternative to Grey Diffusive Radiation. While they may fulfill similar purposes, they might be better suited for a specific application and provide a better approximation of physical world conditions.

Grey Diffusive Radiation - Alternatives
Boundary ConditionDescription

Marshak

Used with P1 radiation model for participating media.

Marshak Fixed Temperature

Marshak with fixed boundary temperature.