What the calculation showed
Brick tunnel: the outer tunnel carried about 77% of the inner tunnel flow in total, but the ratio varied from column to column, with a standard deviation of 21.3%. Near the closed end the outer tunnel drew 110% of the inner flow per column, near the open end only 56%. Behind every step change in open area the flow climbed again, and buttresses and expansion joints left regions with no flow at all. Flue gas moved sideways across the furnace to make up the difference.
Engineered tunnel: the wall was split into 9 inch sections with one column of openings each, without buttresses and with the expansion gaps spread over all blocks. Each opening received an orifice insert with a bore chosen for its position. The flow ratio held at about 65.6% along the whole length, with a standard deviation of 0.7%, both at the closed end and at the exit.
The article compares refractory data for the tunnel parts. Super duty brick deflects 7.86% under creep load at 1,427 °C, mullite bonded alumina 1.11% at 1,649 °C. The hot modulus of rupture is below 600 psi for super duty brick, up to almost 500 psi for a high grade castable and 1,700 psi for mullite bonded alumina.
Without buttresses, the wall footprint is about half as wide, so the inside of the tunnel can be wider in the same space. The authors estimate about one third more flow area and a lower pressure drop. The weight of the tunnel system falls by up to 60%.
If the plant later raises capacity, the opening pattern of a brick tunnel no longer fits and may need a rebuild. Here only the inserts are changed, and the walls stay.