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- 2.30 An electrical heater capable of generating 10,000 W is to be designed. The heating element is to be a stainless steel wire having an electrical resistivity of ohm-centimeter. The operating temperature of the stainless steel is to be no more than 1260°C. The heat transfer coefficient at the outer surface is expected to be no less than in a medium whose maximum temperature is 93°C. A transformer capable of delivering current at 9 and 12 V is available. Determine a suitable size for the wire, the current required, and discuss what effect a reduction in the heat transfer coefficient would have. (Hint: Demonstrate first that the temperature drop between the center and the surface of the wire is independent of the wire diameter, and determine its value.)Hi, can you help me with the following problem? A thermally insulated tank of water 2 m x 2 m, depth 1 m is stirred with a paddle for threehours. If the paddle is driven by a motor whose shaft power is 8 kW determine the rate ofchange of temperature in degrees C per hr and the increase in temperature of the water.The specific heat of water is 4200 J/kgC. Identify a system and start your analysis from anappropriate form of the Fist Law of ThermodynamicsTask 02 Water flows through a cast steel pipe ( k = 50 W/m.K ) with an outer diameter of 104 mm and 2 mm wall thickness. (i). Calculate the heat loss by convection and conduction per metre length of un insulated pipe when the water temperature is 15 0C , the outside air temperature is -10 0C , the water side heat transfer coefficient is 30 kW/m2.K and the outside heat transfer coefficient is 20 W/m2.K . (ii). Calculate the corresponding heat loss when the pipe is lagged with insulation having an outer diameter of 365 mm, and thermal conductivity of k= 0.05 W/m.K
- Steam is being transported in a pipe at a chemical production facility in Gebze, Kocaeli. Theouter diameter of the pipe is 8 cm, and the surrounding air temperature is 20 °C. On the surface of thepipe, the combined heat transfer coefficient is 35 W/m2*K. The surface temperature of the pipe is 150 °C.Steady-state conditions exist.(a) What is the rate of heat loss from the pipe to the surroundings?(b) The power used to generate the steam is obtained from natural gas. Perform an online search forapproximate values of the calorific value of natural gas, as well as the cost of natural gas per cubicmeter, and estimate the financial loss due to heat loss from this steam pipe within a period of oneyear. Indicate your sources clearly in your answer.Air surrounding a light bulb is moving at 25 m/sec. The surrounding conditions are kept at atmospheric pressure and at temperature 25o C. The light bulb external surface is kept at 140o C. What is the heat transfer rate from the light bulb to the surrounding? Assume the light bulb as a sphere with a diameter of 50 mm.The heat transfer rate from a refrigerator consuming 9 kJ of electrical energy per minute to the room environment is 400 W. In this case:a) The heat extraction rate from the internal environment of the refrigerator (kJ/s),b) Calculate the performance coefficient of the refrigerator.
- The forced convective heater works in two ways: radiative heat in the form of light from the hot nichrome wire coils (like a toaster) and forced air heat (like a hair dryer). Derive an energy balance to determine the total rate of heat transfer from the device to the interior of the trailer. What percentage of the heat is leaving as light versus heating of the air stream?4.16 Estimate the convective heat-transfer coefficient for natural convection from a horizontalsteam pipe. The outside surface temperature of the insulated pipe is 80°C. Thesurrounding air temperature is 25°C. The outside diameter of the insulated pipe is 10 cm. 4.17 A vertical cylindrical container is being cooled in ambient air at 25°C with no air circulation.If the initial temperature of the container surface is 100°C, compute the surfaceheat transfer coefficient due to natural convection during the initial cooling period. Thediameter of the container is 1 m, and it is 2m highIn the United States, energy for household heating is generally sold using English units, e.g., therm, gal, and cord. A house in Wisconsin uses 1200 therms of thermal energy during the heating season. Calculate the cost of fuel if the furnace uses (a) natural gas with an efficiency of 70%; (b) No. 2 fuel oil, efficiency 65%; (c) kerosene, efficiency 99.9% (unvented); and (d) wood with l5% moisture with an efficiency of 50%. Use the data in Tables 2.2, 2.7, and 2.13. The efficiencies are based on the HHV. Assume the cost of natural gas is $8/MBtu, the cost of No. 2 fuel oil is $3/gal, the cost of kerosene is $3.50/gal, and the cost of wood is $100/cord. Assume the bulk density of cord wood is 30 lbm/ft3 .
- solve step by step and correctly. A family enters a winter vacation cabin has been unheated for such a long time the interior temperature is the same as the outside temperature (00C). The cabin consists of a single room of floor area 4m by 4m and height 3m. The room contains one 2kW electric heater. Assuming that the room is perfectly airtight and that all the heat from the electric heater is absorbed by the air, none escaping through the walls or being absorbed by the furnishing, how long after the heater is turned on will the temperature reach the comfort level of 240C.A vertical cylinder 6 ft tall and 1 ft in diameter might be used to approximate a man for heat-transfer purposes. Suppose the surface temperature of the cylinder is 78°F, h=2 Btu/h · ft2 . °F, the surface emissivity is 0.9, and the cylinder is placed in a large room where the air temperature is 68°F and the wall temperature is 45°F. Calculate the heat lost from the cylinder. Repeat for a wall temperature of 80°F. What do you conclude from these calculations? Known, Find, Schematic Diagram, Assumption, Properties, Analysis and CommentsA vertical cylinder 6 ft tall and 1 ft in diameter might be used to approximate a man for heat-transfer purposes. Suppose the surface temperature of the cylinder is 78°F, h=2 Btu/h · ft2 . °F, the surface emissivity is 0.9, and the cylinder is placed in a large room where the air temperature is 68°F and the wall temperature is 45°F. Calculate the heat lost from the cylinder. Repeat for a wall temperature of 80°F. What do you conclude from these calculations?