Problem Description

This problem considers a model of a 3D section of a film cooling test rig. A schematic of the problem is shown in Figure  7.1. The problem consists of a duct, 49 in long, with cross-sectional dimensions of 0.75 in $\times$ 5 in. An array of uniformly spaced holes is located at the bottom of the duct. Each hole has a diameter of 0.5 inches, is inclined at 35 degrees, and is spaced 1.5 inches apart laterally. Cooler injected air enters the system through the plenum having cross-sectional dimensions of 3.3 in $\times$1.25 in.

Only a portion of the domain needs to be modeled because of the symmetry of the geometry. The bulk temperature of the streamwise air ( $T_\infty$) is 450 K, and the velocity of the air stream is 20 m/s. The bottom wall of the duct that intersects the hole array is assumed to be a completely insulated (adiabatic) wall. The secondary (injected) air enters the plenum at a uniform velocity of 0.4559 m/s. The temperature of the injected air ( $T_{\rm inject}$) is 300 K. The properties of air that are used in the model are also mentioned in Figure  7.1.

Figure 7.1: Schematic of the Problem