Find the total rate of heat transfer through the wall in W.
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- A horizontal, 3-mm-thick flat-copper plate, 1-m long and 0.5-m wide, is exposed in air at 27C to radiation from the sun. If the total rate of solar radiation absorbed is 300 W and the combined radiation and convection heat transfer coefficients on the upper and lower surfaces are 20 and 15W/m2K, respectively, determine the equilibrium temperature of the plate.Determine the power requirement of a soldering iron in which the tip is maintained at 400C. The tip is a cylinder 3 mm in diameter and 10 mm long. The surrounding air temperature is 20C, and the average convection heat transfer coefficient over the tip is 20W/m2K. The tip is highly polished initially, giving it a very low emittance.The wall of a box furnace is made of a composite material. Layer A is directly in contact with the combustion gases inside the furnace and it has a thickness of 0.023 m, a thermal conductivity of 132 W/m-K, and a cross-sectional area of 0.42 m2. On the other hand, Layer C corresponds to the outermost layer that is in direct contact with the ambient air. It has a thickness of 0.036 m, a thermal conductivity of 2 W/m-K, and has the same cross-sectional area as Layer A. In between Layer A and Layer C are two parallel layers: LayerB and Layer D. Layer B has the same cross-sectional area as Layer D. The thickness of Layer B and Layer D is 0.066 m. Layer B has a thermal conductivity of 13 W/m-K; while, Layer D has a thermal conductivity of 23 W/m-K. The combustion gases inside the furnace has a temperature of 373 ; while, the ambient air has a temperature of 30 . Finally, the convection heat transfer coefficients at the inside and outside of the wall are 111 W/m2-K and 22 W/m2-K…
- (a) If the cost of producing the hot water is $0.10 per kWh, what is the representative daily costof heat loss from an uninsulated pipe to the air per meter of pipe length? The convectionresistance associated with water flow in the pipe may be neglected.(b) Determine the savings associated with application of a 10-mm-thick coating of urethaneinsulation (k = 0.026 W/m-K) to the outer surface of the pipe.J 5 A cylindrical steel tank with a diameter of 1.8m and a height of 2m, is insulated with polyurethane on its lateral faces and its lid. The insulation is 40 mm thick and covered with a thin layer of metal. The tank contains water that is kept warm by an electric heater in such a way as to maintain the inner surface of the tank at a temperature of 55C. The ambient air temperature is 10C and the external skin coefficient is 10 w/m2K. If the energy cost is $0.15/kwh. What is the monthly energy cost for water storage?Calculate the thickness of the magnesia insulation necessary to restrict the heat loss to 5 BTU/hr-ft2 through the walls of a furnace having inside and ambient temperatures of 1500 oF and 150 oF, respectively. The furnace wall is ¼ in, steel plate and 3 in refractory lining. Thermal conductivity in BTU/hr –ft-oF are kref = 0.6, ksteel = 26, kmag=0.03
- 1. A composite furnace wall is made up of a 12-in. lining of magnesite refractory brick, a 5-in.thickness of 85% magnesia, and a steel casing 0.10-in. thick. Flue gas temperature is 2200 F andthe boiler room is at 80 F. Gas side film coefficient is 15 Btu/hr-sq.ft-F and air side is 4.0.Determine:a. The thermal current Q/Ab. Interface temperaturesc. Effect on thermal current and inside refractory wall temperature if the magnesia insulation weredoubled.The fuel assembly shown in the left figure consists of periodic arrays of annular bare fuel rods, which are cooled by passing water through the center of the rods as well as over the outer surface. We want to analyze the thermal performance of the fuel rods by dividing the assembly into a number of unit cells (control volumes) and evaluating the performance of a cell, as shown in the right figure.Can someone please help me with creating an excel spreadsheet to calculate heat transfer phenomenon from a cylindrical fuel rod to the coolant? The excel sheet needs to be able to calculate these 3 things: Heat generated in a fuel rod at a distance ‘r’ from the center; Total Heat generated in the Reactor; the maximum temperature in the fuel and the cladding surface temperature, for a fuel rod at a distance ‘r’ from the center. The fuel used in this will be UO2 and there is a thin layer of helium that will separate the fuel from the cladding material. The user input parameters will be: the thermal neutron flux at the core, thermal conductivity of fuel, thermal conductivity of helium, thermal conductivity of the cladding, thickness of the helium layer, thickness of the cladding, diameter of the fuel pellet, fuel rod location (r), Cylindrical Reactor Size, and the fuel enrichment. For the fluid the user input will be coolant temperature and the heat transfer coefficient.
- A black thermocouple is inside a chamber with black walls. If the air around the thermocouple is 20 oC, the walls are at 100 oC and the heat transfer coefficient between the thermocouple and the air is 75W/m2- K. What temperature will the thermocouple read?2. A steam line is covered with two successive layers of insulation. The 1.6 in thick layer in contact with the pipe is asbestos which is covered with a 1.4 inch thickness of magnesia insulation. The internal pipe diameter is 3 in, the pipewall thickness is 0.40 in made from common brick. The steam temperature is 850ºF, and the internal surface film coefficient is 50 Btu/hr.ft².F, while the ambient outer temperature is 105°F and the outer surface film coefficient is 3.0 Btu/hr.ft².F. Calculate the following: a. value of U based upon the external area of the magnesia covering, Btu/hr.ft2.F b. heat loss from the steam for a length of 190 feet of pipe, Btu/hr16-67E A 2-in-diameter spherical ball whose surface is maintained at a temperature of 170°F is suspended in the middle of a room at 70°F. If the convection heat transfer coefficient is 15 Btu/h-ft².°F and the emissivity of the surface is 0.8, deter- mine the total rate of heat transfer from the ball. 16-68 An 800-W iron is left on the iron board with its base exposed to the air at 20°C. The convection heat trans- fer coefficient between the base surface and the surround- ing air is 35 W/m².K. If the base has an emissivity of 0.6 and a surface area of 0.02 m², determine the temperature of the base of the iron. Answer: 601°C Iron 800 W FIGURE P16-68 20°C