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A section of a composite wall with the dimensions shown below has uniform temperatures of 200°C and 50°C over the left and right surfaces, respectively. If the thermal conductivities of the wall materials are:
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Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
- As a designer working for a major electric appliance manufacturer, you are required to estimate the amount of fiberglass insulation packing (k = 0.035 W/m K) that is needed for a kitchen oven shown in the figure below. The fiberglass layer is to be sandwiched between a 2-mm-thick aluminum cladding plate on the outside and a 5-mm-thick stainless steel plate on the inside that forms the core of the oven. The insulation thickness is such that the outside cladding temperature does not exceed 40C when the temperature at the inside surface of the oven is 300C. Also, the air temperature in the kitchen varies from 15Cto33C, and the average heat transfer coefficient between the outer surface of the oven and air is estimated to be 12.0W/m2K. Determine the thickness of the fiberglass insulation that is required for these conditions. What would be the outer surface temperature when the inside surface of the oven is at 475C?arrow_forward1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss through a wall of 10-cm thickness is . If a thermocouple at the inner surface of the wall indicates a temperature of 22°C while another at the outer surface shows 6°C, calculate the thermal conductivity of the concrete and compare your result with the value in Appendix 2, Table 11.arrow_forward1.1 On a cold winter day, the outer surface of a 0.2-m-thick concrete wall of a warehouse is exposed to temperature of –5°C, while the inner surface is kept at 20°C. The thermal conductivity of the concrete is 1.2 W/m K. Determine the heat loss through the wall, which is 10-m long and 3-m high. Problem 1.1arrow_forward
- 1.37 Mild steel nails were driven through a solid wood wall consisting of two layers, each 2.5-cm thick, for reinforcement. If the total cross-sectional area of the nails is 0.5% of the wall area, determine the unit thermal conductance of the composite wall and the percent of the total heat flow that passes through the nails when the temperature difference across the wall is 25°C. Neglect contact resistance between the wood layers.arrow_forward1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.4arrow_forward1.3 A furnace wall is to be constructed of brick having standard dimensions of Two kinds of material are available. One has a maximum usable temperature of 1040°C and a thermal conductivity of 1.7 W/(m K), and the other has a maximum temperature limit of 870°C and a thermal conductivity of 0.85 W/(m K). The bricks have the same cost and are laid in any manner, but we wish to design the most economical wall for a furnace with a temperature of 1040°C on the hot side and 200°C on the cold side. If the maximum amount of heat transfer permissible is 950 , determine the most economical arrangement using the available bricks.arrow_forward
- 2. A refrigerated cold room wall has a thickness of 100mm and a thermal conductivity 0.14 W/m-K. The room wall has a 60mm thick internal lining of cork having a thermal conductivity of 0.05 W/m.K. The thermal conductance between the exposed faces and the respective atmosphere is 12 W/m²-K. If the room is maintained at 0°C and the external atmospheric temperature is 20°C, Calculate the heat loss rate through 1m² of the wall.arrow_forwardQuestion 3: A flat wall is exposed to an environmental temperature of 38 oC. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.4 W/m oC, and the temperature of the wall on the inside of the insulation is 315 oC. The wall loses heat to the environment by convection. Compute the value of the convection heat-transfer coefficient that must be maintained on the outer surface of the insulation to ensure that the outer-surface temperature does not exceed 41oC.arrow_forwardA multi-layered wall with the dimensions shown in the figure has temperatures of 200°C and 50°C over the left and right surfaces, respectively. If the thermal conductivities of the wall materials A and C are k-60 W/m-K, k-24 W/m-K. If total rate of heat transfer through the wall is 175 W, what is the thermal conductivity of material B? T- 200°C T-soc 6 cm- 2 om 25 omarrow_forward
- Heat is transferred at the rate of 10 kW at the left end of a metal rod as shown in Figure 7.17. Determine the temperature distribution in the rod if the right end of the rod at x-2m is held at 50°C. The cross sectional area of the rod is 1200 mm? and the thermal conductivity k = 100 kW/m-°Carrow_forward2. The wall of a cold room consists of a layer of cork sandwiched between outer and inner walls of wood, the wood walls being each 30 mm thick. The inside atmosphere of the room is maintained at -20 °C when the external atmospheric temperature is 25 °C, the heat loss through the wall is 42 W/m2. Taking the thermal conductivity of wood and cork as 0.20 W/m-K and 0.05 W/m-K respectively, and the rate of heat transfer between each exposed wood surface and their respective atmospheres as 15 W/m2-K, calculate the thickness of the cork. (mm)arrow_forwardA box full of electronics to sense tremors with the dimensions shown in the diagram is buried deep in soil. The heat from the electronics keeps the box at a constant temperature of 398K. If the surrounding soil is at a temperature of 273K and has a thermal conductivity of 0.74 W/m/K, what is the heat transfer rate between the box and soil? 0.75m 0.75m 1.5marrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning