Homework Answers
The problem relates with the concept of one dimensional steady state heat transfer through wall.
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Problem 2. The roof of the house is covered with snow as shown in fig. 1....
P2 (50 pts.) Assume the roof of a room in a typical house is 12 cm...
P2 (50 pts.) Assume the roof of a room in a typical house is 12 cm thick concrete slab with a thermal conductivity k = 1.50 W/m•°C. The roof of the room is 4 m wide and 4 m long. Assume convection heat transfer coefficients on the inner and outer surfaces of the roof are hi=6 and ho=10 W/m2°C, respectively. At noon, when the sun is "hotter" the solar irradiation is estimated to be color = 750 W/m- and the...
Problem 2 Consider a house that is approximated as a cube that is 7 m on...
Problem 2 Consider a house that is approximated as a cube that is 7 m on a side and has no windows. The house loses heat from the four walls and the roof. For an inside temperature of 25°C and an outside temperature of -25°C, it is desired to keep the total heat loss less than 5 kW. What is the minimum RSI-value that is required for the walls and roof?
A house has a composite wall of wood (exterior) (k = 0.12 W m-1 K -1...
A house has a composite wall of wood (exterior) (k = 0.12 W m-1 K -1 , 20 mm thick), fibreglass insulation (k = 0.045 W m-1 K -1 , 70 mm thick) and plasterboard (interior) (k = 0.25 W m-1 K -1 , 10 mm thick). Determine the total heat loss through the wall when the inside temperature is 20 °C, the outside temperature is -10 °C, the inside heat transfer coefficient is 15 W m-2 K -1, and...
Heat Loss and Heating Costs of a House Part A A house has well-insulated walls 17.1...
Heat Loss and Heating Costs of a House Part A A house has well-insulated walls 17.1 cm thick (assume conductivity of air) and area 411 m2, a roof of wood б.бб cm thick and area 279 m2, and uncovered windows 0.626 cm thick and total area 33.4 m2. Assuming that the heat loss is only by conduction, calculate the rate at which heat must be supplied to this house to maintain its temperature at 21.4°C if the outside temperature is...
Question 1 (10 marks) As shown in Fig. Q1, a house is cooled by an air...
Question 1 (10 marks) As shown in Fig. Q1, a house is cooled by an air conditioning system to maintain the temperature inside the house to be 25 °C during the summer. When the ambient temperature outside is 45 °C, the rate at which heat is transferred to the house is estimated to be Qleak .u HP 30 kW 1.1 Calculate the coefficient of performance (COP) of this air conditioning system if it operates on a Carnot cycle? Fig. Q1...
Problem 2. (20 pts) As shown in the figure, uniform generation occurs inside the spherical core...
Problem 2. (20 pts) As shown in the figure, uniform generation occurs inside the spherical core with a radius n due to reactive heating at a rate of q 10 W/m3. The thermal conductivity of the reactive material is 20 Wm. K. The spherical shell 1Sr is made of stainless steel (s.s.) with a thermal conductivity k2 -15 W/m K. Given 0.5 m and k2 72=0.6 m, water flows outside to cool the s.s. shell at To-25°C and h =...
The wall of a house is 3 m high, 10 m long and 30 cm thick;...
The wall of a house is 3 m high, 10 m long and 30 cm thick; it has an effective thermal conductivity of 10 W/m K. The outer surface of the wall has an emissivity of 0.75. On a winter night, the outer surface of this wall is at a temperature of 0 °C and the air is at a temperature of –10 °C. The heat transfer coefficient for the outside wall is 8 W/m2 K. The outside wall also...
Problem 1. (25%) The temperature on the inside surface of a CYLINDRICAL tank is T.(11) =...
Problem 1. (25%) The temperature on the inside surface of a CYLINDRICAL tank is T.(11) = 100°C under steady state conditions. The temperature outside the tank, T2(2), needs to be determined. The inner radius is 1 m and the outer radius is 1.3 m, and the tank material has a conductivity of k = 15 W/m. K. ONLY CONVECTION on the outer surface has to be considered. The ambient temperature is To = 25°C and the convection heat transfer coefficient...
The roof of a refrigerated truck compartment consists of a layer of foamed urethane insulation (t2...
The roof of a refrigerated truck compartment consists of a layer of foamed urethane insulation (t2 = 62 mm, ki = 0.026 W/m K) between aluminum alloy panels (t1 = 6 mm, kp = 180 W/m K). The length of the roof is L = 9 m. The net solar radiation into the roof is 131 W/m2. The temperature of the inner surface is Ts,i = -3 °C and the air temperature is T. = 30 °C. The convective heat...
In this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is T(in) = 20 degrees celcius and the temperature outside is T(out) = 0 degrees celcius
In this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is T(in) = 20 degrees celcius and the temperature outside is T(out) = 0 degrees celcius. The walls have fiberglass insulation, which dominates the heat conduction properties of the wall So we can consider the wall to have a thermal conductivity of k(wall) = 0.048 W/m/K . We will take the thickness of the walls and ceiling to be L(wall) = 12...
P2 (50 pts.) Assume the roof of a room in a typical house is 12 cm thick concrete slab with a thermal conductivity k = 1.50 W/m•°C. The roof of the room is 4 m wide and 4 m long. Assume convection heat transfer coefficients on the inner and outer surfaces of the roof are hi=6 and ho=10 W/m2°C, respectively. At noon, when the sun is "hotter" the solar irradiation is estimated to be color = 750 W/m- and the...
Problem 2 Consider a house that is approximated as a cube that is 7 m on a side and has no windows. The house loses heat from the four walls and the roof. For an inside temperature of 25°C and an outside temperature of -25°C, it is desired to keep the total heat loss less than 5 kW. What is the minimum RSI-value that is required for the walls and roof?
Heat Loss and Heating Costs of a House Part A A house has well-insulated walls 17.1 cm thick (assume conductivity of air) and area 411 m2, a roof of wood б.бб cm thick and area 279 m2, and uncovered windows 0.626 cm thick and total area 33.4 m2. Assuming that the heat loss is only by conduction, calculate the rate at which heat must be supplied to this house to maintain its temperature at 21.4°C if the outside temperature is...
Question 1 (10 marks) As shown in Fig. Q1, a house is cooled by an air conditioning system to maintain the temperature inside the house to be 25 °C during the summer. When the ambient temperature outside is 45 °C, the rate at which heat is transferred to the house is estimated to be Qleak .u HP 30 kW 1.1 Calculate the coefficient of performance (COP) of this air conditioning system if it operates on a Carnot cycle? Fig. Q1...
Problem 2. (20 pts) As shown in the figure, uniform generation occurs inside the spherical core with a radius n due to reactive heating at a rate of q 10 W/m3. The thermal conductivity of the reactive material is 20 Wm. K. The spherical shell 1Sr is made of stainless steel (s.s.) with a thermal conductivity k2 -15 W/m K. Given 0.5 m and k2 72=0.6 m, water flows outside to cool the s.s. shell at To-25°C and h =...
Problem 1. (25%) The temperature on the inside surface of a CYLINDRICAL tank is T.(11) = 100°C under steady state conditions. The temperature outside the tank, T2(2), needs to be determined. The inner radius is 1 m and the outer radius is 1.3 m, and the tank material has a conductivity of k = 15 W/m. K. ONLY CONVECTION on the outer surface has to be considered. The ambient temperature is To = 25°C and the convection heat transfer coefficient...
The roof of a refrigerated truck compartment consists of a layer of foamed urethane insulation (t2 = 62 mm, ki = 0.026 W/m K) between aluminum alloy panels (t1 = 6 mm, kp = 180 W/m K). The length of the roof is L = 9 m. The net solar radiation into the roof is 131 W/m2. The temperature of the inner surface is Ts,i = -3 °C and the air temperature is T. = 30 °C. The convective heat...
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