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Documentation

# Validation Case: Heat Transfer in a Perforated Plate

This project belongs to the heat transfer analysis type. The aim of this test case is to validate the following parameter using a transient thermal solver, with a surface and a convective heat flux boundary condition on a perforated plate:

• Temperature $$[K]$$ on a single node for 12 consecutive timesteps.

The simulation results of SimScale were compared to the results presented in case B of [TTLP301]$$^1$$.

## Geometry

The geometry used for the analysis with the highlighted node N1 can be seen below. It is a random thick plate with straight and curved edges.

The coordinates for each vertex of the plate are displayed in the following table:

## Analysis Type and Domain

Tool type : Code_Aster

Analysis type : Heat transfer, linear

Time dependency: Transient

Mesh and element types: Two mesh cases were considered for the analysis of the perforated plate, with 1st order and 2nd order tetrahedral elements:

Below, the 1st order tetrahedral mesh for case A is visualized:

## Simulation Setup

Material/Solid

• Isotropic:
• Density $$ρ$$ = 1 $$kg \over \ m³$$,
• Thermal conductivity $$\kappa$$ = 0.1 $$W \over \ m \ K$$,
• Specific heat = 1 $$J \over \ kg \ K$$

Initial conditions

• Initial Temperature = 273.15 $$K$$

Boundary conditions

• Surface heat flux on face AFJE:
• Heat flux value = 1 $$W \over \ m²$$
• Convective heat flux on face CHID
• Reference temperature $$T_{0}$$ = 273.15 $$K$$
• Heat transfer coefficient = 1 $$W \over \ m² \ K$$

## Results Comparison

The temperature values at node N1 for 12 time steps obtained with SimScale are compared against the results presented in case B of [TTLP301]$$^1$$.

All of the cases are in good agreement with the reference results.

You can see the temperature distribution on the plate for the last time step for Case A below:

Last updated: July 22nd, 2021