Calculate the hourly heating load of a house in which all exterior surfaces have a thermal resistance of R = 14 ft² · h · °F/Btu, the inside temperature is 65°F, and the outside temperature is 5°F. The dimensions of the house are 30 ft x 50 ft x 10 ft.
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- 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?1.2 The weight of the insulation in a spacecraft may be more important than the space required. Show analytically that the lightest insulation for a plane wall with a specified thermal resistance is the insulation that has the smallest product of density times thermal conductivity.A box made of copper plate with outside dimensions of 5 ft by 5 ft by 6-in.is suspended horizontally in a large room where the air and wall temperaturesare 80°F. The box contains a heating coil which maintains a temperature of500 °F on all external surfaces. What is the total heat loss from the box inBtu/hr.
- 2. A glass window has an area of 5.5 ft² and a thickness of 5 mm. If one side is at a temperature of 45° F and the other is at 23 F, how much thermal energy (BTU/year) flows through the window in one year? The thermal conductivity of glass is 1.89x10-4 kcal/m-s-K.flat wall is exposed to the environment. The wall is covered with a layer of insulation 1.0 in. thick whose thermal conductivity is temperature of the wall on the inside of the insulation is 600°F. The wall loses heat to the environment by convection on the surface of the insulation. The 0.8 Btu/hr-ft-°F. The average value of the convection heat transfer coefficient the insulation surface is 950 on Btu/hr-ft-°F. Compute the bulk temperature of the environment (T) if the outer surface of the insulation does not exceed 105°F.A furnace wall is constructed of a firebrick that is 6 inches thick. The temperature of the inside of the wall is 1300°F, and the temperature of the outside of the wall is 175°F. If the mean thermal conductivity under these conditions is 0.17 BTU/hr-ft-°F. What is the rate of heat loss through 10 square feet of wall surface?
- A wall in a house contains a single window. The window consists of a single pane of glass whose area is 0.13 m2 and whose thickness is 8 mm. Treat the wall as a slab of the insulating material Styrofoam whose area and thickness are 19 m2 and 0.10 m, respectively. Heat is lost via conduction through the wall and the window. The temperature difference between the inside and outside is the same for the wall and the window. Of the total heat lost by the wall and the window, what is the percentage lost by the window?A cold-storage room is constructed of an inner layer of 14 mm of pine with thermal conductivity of 0.15 W/m K, and an outer layer of 75 mm of concrete with thermal conductivity of 0.75 W/m K. The wall surface temperature is 258 K inside the cold room and 298 K at the outside surface of the concrete. Calculate the heat loss in W per 1 m2. Please keep one decimal and take positive value for the final answer.5. A pipe with an outside diameter of 2.5 inches is insulated with 2 inches layer of asbestos (k = 0.396 Btu- in/hr-ft²-°F), followed by a layer of cork 1.5 inches thick (k = 0.30 Btu-in/hr-ft²-°F). If the temperature at the inner surface of the pipe is 290°F and at the outer surface of the cork is 90°F, calculate the heat loss per 100 ft of insulated pipe. (Btu/hr)
- In a lab testing material samples to determine the thermal conductivity of the material. Now, the test specimens are 18.5 cm long by 14.4 cm wide and 0.26 cm thick. The sample is placed in a test device so that one of the large sides is maintained at 13, while the other large side is kept at -7. The heat transfer through the sample is measured to be 287 Watts. Determine the thermal conductivity. Give your answer to 2 decimal places.A cold-storage room is constructed of an inner layer of 11 mm of pine with thermal conductivity of 0.15 W/m K, and an outer layer of 75 mm of concrete with thermal conductivity of 0.75 W/m K. The wall surface temperature is 253 K inside the cold room and 299 K at the outside surface of the concrete. Calculate the heat loss in W per 1 m2. Please keep one decimal and take positive value for the final answer.The interior-wall temperature of an annealing oven constructed of firebrick (Missouri) is2552°F, and the exterior-wall temperature is 392°F. If the heat loss is 3600 Btu/(hr)(sq ft),determine the thickness of the wall, in inches. (answer 5.67”)