Thermal void BC equations

A thermal void represents a region in a thermal model where a fluid such as air or another gas is enclosed and interacts thermally with surrounding solid boundaries. This condition is used to simulate enclosed air pockets or cavities in thermal systems.

In most cases, the specific heat, Cp, for the void fluid material is equal to 0, therefore the void equation is:

where:

  • Tvoid is the void temperature.
  • h is the heat transfer coefficient.
  • Ts is the solid surface temperature.
  • Tf is the fluid temperature inside the void.
  • dA is the differential surface area element.
  • Qin is the internal power input to the void.

This leads to an implicit equation for the fluid temperature inside the void, Tf because both the heat transfer coefficient h and the heat input Qin can be functions of Tf.

Heat input from streams or other voids

The void can also receive energy from:

  • Streams or ducts using the PWR(i) runtime function where i is the stream ID.
  • Other voids using the PWRV(m,i) runtime function where m is the mass flow rate from one void to another and i is the boundary condition ID of the void.

These are modeled using specific enthalpy functions:

where:

  • mi is the incoming stream or duct mass flow.
  • Ti is the outlet temperature of the incoming stream or duct flow.
  • E(T) is the specific enthalpy:

where:

  • mi is the specified incoming mass flow rate from void i into the current void.
  • E(Ti) is the specific enthalpy function for the fluid of void i.

Applications

Thermal voids are used in simulations where:

  • Air pockets are enclosed within insulation or mechanical assemblies.
  • No active cooling or heating is applied.
  • Heat exchange occurs only through conduction and convection with surrounding solids.