Engee documentation

Radiative Heat Transfer

Heat transfer by radiation.

blockType: AcausalFoundation.Thermal.Elements.Radiation

Path in the library:

/Physical Modeling/Fundamental/Thermal/Elements/Radiative Heat Transfer

Description

Block Radiative Heat Transfer It is a transfer of heat by radiation between two bodies. The process is described by the Stefan—Boltzmann law:

Where:

  • — heat flow.

  • — radiation coefficient.

  • А — surface area.

  • and — temperatures of two bodies .

The radiation coefficient is determined by the geometric shapes, dimensions and radiation coefficient of the surface. For example, the radiation constant for heat exchange between two parallel plates is calculated as:

σεε

Where:

  • σ — Stefan—Boltzmann constant.

  • ε — the radiation coefficient of the surface of the radiating plate.

  • ε — the radiation coefficient of the surface of the receiving plate.

Similarly, the radiation coefficient for concentric cylinders is determined by the formula

σεεε

Where and — radii of the emitting and receiving cylinders, respectively.

A and B are thermal ports corresponding to different bodies. Since the positive direction of the block is from port A to port B, the heat flow is positive if it flows from A to B.

Ports

A — body A
heat

Thermal port corresponding to body A.

B — body B
heat

Thermal port corresponding to body B.

Parameters

Area — heat exchange area
1e−4 m2 (by default) | positive scalar

Heat exchange area.

Radiation coefficient — coefficient of heat transfer by radiation
4E−8 W/m2/K^4 (by default) | positive scalar

The coefficient of heat transfer by radiation between two bodies, based on their geometric shape, size and radiation coefficient of the surface.

Initial value of temperature difference — initial value of temperature difference
0.0 K (by default)

The initial value of the temperature difference.

Initial value of heat flow rate — initial value of heat flow
0.0 W/(K*m2) (by default)

The initial value of the heat flow.