Example problem 7 will demonstrate a sample of advection/convection coupling in the context of a 3D steady state analysis.

This exercise will familiarize the new user with the steps required to define the appropriate boundary conditions for a P3THERMAL analysis involving advective/convective coupling.

A stainless steel block with a hole in it is exposed on one side to an air mass flowing over it. The entire block is initially at a temperature of 25 degrees C. The exterior air mass is large enough that it experiences no temperature drop during the entire traversal of the block. The boundary layer growth begins at the beginning of the block and flat plate heat transfer correlations are assumed to apply along this surface. The interior of the block is cooled by an air mass flowing through a hole in the center of the block, only in this case the mass of air flow is not great enough to prevent the air from being heated. Heat transfer correlations which define the heat exchange for flow inside a tube are valid for this case. The air originates in a plenum in front of the steel block, so the boundary layer for internal cooling begins at the front of the block. Because of symmetry, it is only necessary to model half of the block.

The heating air on the exterior is 100 degrees C and is flowing with a velocity of 10 meters/second. The interior fluid is also flowing at the rate of 10 meters/second with a mass flow rate of 5E-5 kg/second.

Determine the steady state temperature distribution of the block.