The inside wall of a furnace is at 2100oF and the outside wall is at 300oF. The wall of a furnace must be designed to transmit no more than 220 Btu/hr-ft2. Two types of bricks are available for construction: TYPE A: k = 0.38 Btu/ hr-ft-R with an allowable maximum temperature of 1400oF TYPE B: k = 0.98 Btu/
The inside wall of a furnace is at 2100oF and the outside wall is at 300oF. The wall of a furnace must be designed to transmit no more than 220 Btu/hr-ft2. Two types of bricks are available for construction:
TYPE A: k = 0.38 Btu/ hr-ft-R with an allowable maximum temperature of 1400oF
TYPE B: k = 0.98 Btu/ hr-ft-R with an allowable maximum temperature of 2300oF
Both types of bricks have the same dimensions (9” x 4.5” x 3”) but the cost for Type B brick is twice the cost of Type A brick. Model the wall as one-dimensional and determine the most economical arrangement of the bricks. Include:
a drawing labeled with all given information
the variables used in the appropriate places on the drawing (along with values and units, if provided)
a thermal circuit showing the paths for heat transmission
equations and calculations
Calculations that show that the maximum temperature for Type A brick does not exceed 1400oF
A recommendation for the number and orientation of the bricks.
The inside temp is 2100f and outside is 300f
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