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A house has a composite wall of wood, fiberglass insulation, and plaster board, as indicated on the Steel plates of length L=1 m on a side are conveyed from a heat treatment process and are concurrently picture. On a cold winter day, the convection heat transfer coefficients are ho = 60 W/m²-K and hi = cooled by atmospheric air of velocity Uoo = 10 m/s and in parallel flow over the plates (see 30 W/m²-K. The total wall surface area is 350 m². figure). For a plate temperature of 300 °C, what is the rate of heat transfer from a single plate? (The (kb = 0.038 W/m-K; Ks = 0.12 W/m-K; Kp = 0.17 W/m-K velocity of the air is much larger than that of the plate, i.e., neglect motion of plate) NOTE: please use properties of Air at average temperature between ambient temperature and plate temperatures. Glass fiber blanket (28 kg/m³), kg Make sure to identify which equation you are using and justify why you selected that one in particular. Plaster board, Kp Plywood siding, kz Conveyor Inside Outside ho, Too,0=-15°C = Tj 10 mm 100 mm 20 mm p Lb Ls Air T. Figuro a) (10pts) Determine an expression in symbol form for the total thermal resistance of the wall, including inside and outside convection effects for the prescribed conditions. b) (2pts) Determine the total heat transfer rate through the wall. (Plug in numbers and obtain a Make sure to clearly state all your steps and assumptions so that I can follow your logic and your numerical solution) methodology! Solve equations for the unknown first, then plug in numerical values. c) (2pts) If the wind were blowing violently, raising ho to 300 W/m²-K, determine the percentage increase in the heat transfer rate. Does this have a significant impact on the house? d) (lpts) What is the key controlling resistance that determines the heat transfer rate? (i.e., which one has the major impact) Make sure to clearly state all your steps and assumptions so that I can follow your logic and your methodology! Solve equations for the unknown first, then plug in numerical values.

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