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;

  • — the 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:

where

  • — the Stefan—Boltzmann constant;

  • — the radiation coefficient of the surface of the emitting plate;

  • — the radiation coefficient of the receiving plate surface.

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

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.

Variables

Use the parameter group Initial Targets to set the priority and initial target values for the block parameter variables before modeling. For more information, see Configuring physical blocks using target values.

Ports

Conserving

# A — body А
warm

Details

The thermal port corresponding to the body А .

Program usage name

port_a

# B — body
warm

Details

The thermal port corresponding to the body .

Program usage name

port_b

Parameters

Parameters

# Area — heat exchange area
m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac

Details

Heat exchange area.

Units

m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac

Default value

1e-4 m^2

Program usage name

area

Evaluatable

Yes

# Radiation coefficient — coefficient of heat transfer by radiation
W/(m^2*K^4) | Btu_IT/(hr*ft^2*deltadegR^4)

Details

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

Units

W/(m^2*K^4) | Btu_IT/(hr*ft^2*deltadegR^4)

Default value

4e-8 W/(m^2*K^4)

Program usage name

eps_sigma

Evaluatable

Yes