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15.1 An asbestos pad is square in cross section, measuring 5 cm on a side at its small end increasing linearly to 10 cm on a side at the large end. The pad is 15 cm high. If the small end is held at 600 K and the large end at 300 K, what heat-flow rate will be obtained if the four sides are insulated? Assume one dimensional heat conduction. The thermal conductivity of asbestos may be taken as 0.173 W/m/K. 15.5 A sheet of insulating material, with thermal conductivity of 0:22 W/m/K is 2 cm thick and has a surface area of 2.97 m². If 4 kW of heat are conducted through this sheet and the outer (cooler) surface temperature is measured at 55 C(328 K), what will be the temperature on the inner (hot) surface? 15.15 A 0.20-m-thick brick wall (k =1.3 W/m/K) separates the combustion zone of a furnace from its surroundings at 25 C. For an outside wall surface temperature of 100 C, with a convective heat transfer coefficient of 18 W/m²/K; what will be the inside wall surface temperature at steady-state conditions?

15.1 An asbestos pad is square in cross section, measuring 5 cm on a side at its small end increasing linearly to 10 cm on a side at the large end. The pad is 15 cm high. If the small end is held at 600 K and the large end at 300 K, what heat-flow rate will be obtained if the four sides are insulated? Assume one dimensional heat conduction. The thermal conductivity of asbestos may be taken as 0.173 W/m/K. 15.5 A sheet of insulating material, with thermal conductivity of 0:22 W/m/K is 2 cm thick and has a surface area of 2.97 m². If 4 kW of heat are conducted through this sheet and the outer (cooler) surface temperature is measured at 55 C(328 K), what will be the temperature on the inner (hot) surface? 15.15 A 0.20-m-thick brick wall (k =1.3 W/m/K) separates the combustion zone of a furnace from its surroundings at 25 C. For an outside wall surface temperature of 100 C, with a convective heat transfer coefficient of 18 W/m²/K; what will be the inside wall surface temperature at steady-state conditions?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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15.1 An asbestos pad is square in cross section, measuring 5 cm on a side at its small end increasing linearly to 10 cm on a side at the large end. The pad is 15 cm high. If the small end is held at 600 K and the large end at 300 K, what heat-flow rate will be obtained if the four sides are insulated? Assume one dimensional heat conduction. The thermal conductivity of asbestos may be taken as 0.173 W/m/K. 15.5 A sheet of insulating material, with thermal conductivity of 0:22 W/m/K is 2 cm thick and has a surface area of 2.97 m². If 4 kW of heat are conducted through this sheet and the outer (cooler) surface temperature is measured at 55 C(328 K), what will be the temperature on the inner (hot) surface? 15.15 A 0.20-m-thick brick wall (k =1.3 W/m/K) separates the combustion zone of a furnace from its surroundings at 25 C. For an outside wall surface temperature of 100 C, with a convective heat transfer coefficient of 18 W/m²/K; what will be the inside wall surface temperature at steady-state conditions? 15.19 The freezer compartment in a conventional refrigerator can be modeled as a rectangular cavity 0.3 m high and 0.25 m wide with a depth of 0.5 m. Determine the thickness of styrofoam insulation (k=0:30 W/m/K) needed to limit the heat loss to 400 W if the inner and outer surface temperatures are 10 and 38C, respectively. 15.20 Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at 10 C through a surface coefficient of 16 W/m²/K and the outer wall is exposed to 33C air with a surface coefficient of 32 W/m²/K: Determine the surface temperatures for this situation.
Transcribed Image Text:15.1 An asbestos pad is square in cross section, measuring 5 cm on a side at its small end increasing linearly to 10 cm on a side at the large end. The pad is 15 cm high. If the small end is held at 600 K and the large end at 300 K, what heat-flow rate will be obtained if the four sides are insulated? Assume one dimensional heat conduction. The thermal conductivity of asbestos may be taken as 0.173 W/m/K. 15.5 A sheet of insulating material, with thermal conductivity of 0:22 W/m/K is 2 cm thick and has a surface area of 2.97 m². If 4 kW of heat are conducted through this sheet and the outer (cooler) surface temperature is measured at 55 C(328 K), what will be the temperature on the inner (hot) surface? 15.15 A 0.20-m-thick brick wall (k =1.3 W/m/K) separates the combustion zone of a furnace from its surroundings at 25 C. For an outside wall surface temperature of 100 C, with a convective heat transfer coefficient of 18 W/m²/K; what will be the inside wall surface temperature at steady-state conditions? 15.19 The freezer compartment in a conventional refrigerator can be modeled as a rectangular cavity 0.3 m high and 0.25 m wide with a depth of 0.5 m. Determine the thickness of styrofoam insulation (k=0:30 W/m/K) needed to limit the heat loss to 400 W if the inner and outer surface temperatures are 10 and 38C, respectively. 15.20 Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at 10 C through a surface coefficient of 16 W/m²/K and the outer wall is exposed to 33C air with a surface coefficient of 32 W/m²/K: Determine the surface temperatures for this situation.
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