Water flows through a 10cm steel pipe (k-16 W/m-K) wrapped with a layer of 5- cmthick insulation (k=0.1W/m- K). The heat transfer coefficient inside and outside the pipe is 2000W/m²K and 200W/m²-K, respectively. Determine the heat flow through the pipe if the water is at 80°C and the air outside is at 20°C.
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- A heavily insulated copper rod or diameter 2 cm and length 25 cm is used to pipe heat between two objects. If the rate of heat transfer is 100 W and the hot object has a temperature of 50oC, what is the temperature of the cold object in oC?A glass windowpane in a home is 0.62 cm thick and has dimensions of 1.1 m × 1.7 m. On a certain day, the indoor temperature is 26°C and the outdoor temperature is 0°C. (a) What is the rate at which energy is transferred by heat through the glass? Answer in W (b) How much energy is lost through the window in one day, assuming the temperatures inside and outside remain constant? Answer in JIn this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is Tin = 20°C and the temperature outside is Tout = 0°C. The walls and uppermost ceiling of a typical house are supported by 2 x 6-inch wooden beams (kwood = 0.12 W/(mK)) with fiberglass insulation (kins = 0.04 W/(mK)) in between. The true depth of the beams is actually 5.625 %3D %3D %3D inches, but we will take the thickness of the walls and ceiling to be Lwall = 18 cm to allow for the interior and exterior covering. Assume that the house is a cube of length L = 9.0 m on a side. Assume that the roof has very high conductivity, so that the air in the attic is at the same temperature as the outside air. Ignore heat loss through the ground. The effective thermal conductivity of the wall (or ceiling) keff , is the area-weighted average of the thermal conductivities of the wooden beams and the fiberglass insulation that make up each of them. Allowing for the fact that the 2 x 6 beams…
- The concrete slab of a basement is 11 m long and 8 m wide, and 0.20 m thick. During the winter, temperatures are nominally 17°C and 10°C at the top and bottom surfaces, respectively. If the concrete has a thermal conductivity of 1.4 W/mK, what is the rate of heat loss through the slab? If the basement is heated by a gas furnace operation at an efficiency of 90%, and natural gas is priced at $0.02. MJ, what is the daily cost of the heat loss. Answer: QLOSS = 4.312 kW, COST = $8.28/dayA 12-cm x 18-cm circuit board houses on its surface 100 closely spaced logic chips, each dissipating 0.06 W in an environment at 40°C. The heat transfer from the back surface of the board is negligible. If the heat transfer coefficient on the surface of the board is 10 W/m2.K, determine (a) the heat flux on the surface of the circuit board, in W/m2;A homeowner is unhappy with her heating costs. One wall of her house is 4 meters tall and 8 meters wide and has no windows, and it is made of brick and mortar with a thermal conductivity of 1.0 W m K . It is 40 cm thick. The house is heated to a temperature of 20 ◦C inside. (a) What is the rate of heat loss through the wall on a day when it is 0◦C outside? (b) A layer of rock mineral wool, which has a thermal conductivity of 0.032 W m K is to be installed on the interior surface of the brick wall. How thick should the layer be to lower the rate of heat transfer through this wall to half its original value? (c) If the rock mineral wool is instead installed on the outer surface, is the thickness required the same?
- Forced air flows over a heat exchanger in a room heater, with a convective heat transfer coefficient, h = 150 BTU/hr-ft2-Fahrenheit. The surface temperature of the heat exchanger is held at 200 Fahrenheit while the air in the room is maintained at 72 Fahrenheit. Find the surface area of the heat exchanger if 20,000 BTU/hr is delivered by the heater.Radioactive decay of elements in the earth’s interior results in a mean heat flux through the Earth’s surfaceof 5×10−2Wm−2. What is the flux expressed as a fraction of the energy flux due to thermal re-radiation of absorbed solar energy? If radioactive decay were the only heat source for the Earth, what would the Earth’s temperature be?a wall consist of 3.0 cm of exterior wood and 2.0 cm of interior wood spearated by a 15cm layer of polystyrene foam. if the interior is kept at 19 Celsius degree, calculate the outside temperature for which the heat loss through the is 10 W/m2