Thermal stream BC equations

The thermal solver models a one-sided thermal stream in thermal simulations using the energy balance equation.

A thermal stream defines convection due to fluid flow over surfaces, or over axisymmetric edges.​ The thermal solver internally creates 1D duct with mass flow elements on the selected regions and connects them to the nearest thermal solid elements through a convection thermal coupling. ​

The energy equation governing a one-sided thermal stream is given by:

Where:

  • m is the specified mass flow rate of the stream.
  • Cp is the specific heat of the stream fluid material.
  • Tf is the fluid temperature, computed by the thermal solver. In cases involving rotational effect, this fluid temperature can be expressed as a relative temperature.
  • Ts is the solid body temperature convecting with the stream, also computed by the solver.
  • A is the surface area of the solid body associated with the stream, computed by the solver. When the thermal stream is defined over axisymmetric edges, the thermal solver expands it in 3D to compute the area.
  • h is the specified heat transfer coefficient between the fluid and the solid surface.
  • Hp is the optionally specified heat pickup associated with the current element per unit area.

This equation models the transient thermal interaction between a flowing fluid and a solid surface, accounting for both convective heat transfer and additional heat pickup.

The thermal solver treats a specified two-sided thermal stream as two one-sided thermal streams in terms of heat transfer.

Applications

Thermal streams are used in simulations to:

  • Model the effect of a fluid such air or liquid coolant moving over or through a surface.
  • Represent the heat transfer effect of a fluid flow, simplifying the model instead of modeling full fluid domain.
  • Represent changing flow conditions in transient simulations.
  • Model electronics cooling, automotive engine systems, and HVAC applications.