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Consider a 4-way intersection from a square ventilation duct (Edge Length = 0.25 meters) that is transporting hot air at a steady temperature. The


 

Consider a 4-way intersection from a square ventilation duct (Edge Length = 0.25 meters) that is transporting hot air at a steady temperature. The outside of the duct is at room temperature (20 C), and there are two inlets (one at 25C and one at 30C) and two outlets (both at 27.5C). Using the Poisson Equation for temperature distribution with no heat transfer at the center plane 0) discuss what the temperature distribution would look like if the 0T of the duct ( + = y outlets were across from each other in contrast to next to each other. Assume the temperature gradually changes from the edge temperature (20 C) to the constant duct temperature with 0.025 meters from each edge.

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