Presents the diagram of the problem, necessary formulas, clearance and numerical solution: A metal plate 4 mm thick has a temperature difference between its two faces of 32 ◦C. It transmits 200 kcal/h through an area of 5 cm2. Calculate the thermal conductivity of the metal in W/m K.
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A metal plate 4 mm thick has a temperature difference between its two faces of 32 ◦C. It transmits 200 kcal/h through an area of 5 cm2. Calculate the thermal conductivity of the metal in W/m K.
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- Find the thermal resistance r (in hr - °F/BTU) and the equivalent R-value (in hr ft?. °F/BTU) of a typical frame 20' x 7.5" wall consisting of a 0.5" plaster board on the inside of the room, nominai 2 x 4 studs, and a 0.5" sheathing on the outside. The spaces between the studs are filled with an R-15 insulating foam. What is the heat loss (in BTU) through this wall in four hours if the inside temperature is 72°F and the outside temperature is 32°F? (Assume that the 15% of the wall's area are studs and the remaining 85% is filled with the insulating foam. Assume that the air is moving outside the wall.) r= 0.0805 x hr: OF/BTU R=0.09 x hr ft2. F/BTU AQ = BTU1.19 A square isothermal chip is of width w = front surface is exposed to the flow of a coolant at T = 15°C. From reliability considerations, the chip temperature must not exceed T = 85°C. 5 mm on a side and is mounted in a substrate such that its side and back surfaces are well insulated; the Coolant Chip If the coolant is air and the corresponding convection coefficient is h = 200 W/m² · K, what is the maximum allowable chip power? If the coolant is a dielectric liquid for which h = 3000 W/m² · K, what is the maximum allowable power?An oil storage tank has 20mm steel walls covered with 50mm of fiber glass insulation. if the oil temperature is kept at 150 degree Celsius, what is the rate of heat loss when the outside temperature is 20 degree Celsius and external air coefficient is 20W/m². How much would the heat loss be reduced by doubling the thickness of the insulation?
- 3.6 Heat losses through windows in buildings are substantial. What would be the percentage reduction in heat loss that would be mitigated by replacing a window containing a single pane of glass with (a) double-pane low-E insulating glass or (b) a 3-inch-thick sheet of expanded polystyrene sheet? The quoted R values for these items are: • single pane of glass: 0.90 ft 2 hr ° F/Btu, • double pane of low-E insulating glass: 2.3 ft 2 hr ° F/Btu, • 1-inch-thick sheet of polystyrene sheet: 4.0 ft 2 hr ° F/Btu.A metal rod 1 sq. in. in cross section and 6 in. long is heated at one end and cooled at the other. If the rate of heat input is 3 BTu/hr and the difference in temperature of the two ends is 2 deg. F, what is the coefficient of thermal conductivity in BTU/(hr)(ft²)(⁰F/ft)?1.The height of the Washington Monument is measured to be 170 m on a day when the temperature is 35.0 °C. What will its height be on a day when the temperature falls to -10.0 ° C? Although the monument is made of limestone, assume that its thermal coefficient of expansion is the same as marble's. 2.How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15 ° C? Its original height is 321 m and you can assume it is made of steel. 3.What is the change in length of a 3.00-cm-long column of mercury if its temperature changes from 37.0 ° C to 40.0 ° C, assuming the mercury is unconstrained? 4.How large an expansion gap should be left between steel railroad rails if they may reach a maximum temperature 35.0 ° C greater than when they were laid? Their original length is 10.0 m
- 2. In determining the thermal conductivity of a plateflat insulator, the temperature was measured on both sides of the 25 mm thick plate and gave the results of 318.4 K and 303.2 K. FluxThe measured heat is 35.1 W.m-2. Illustrate the problem in a simple schematic/drawing, then calculate the thermal conductivity inbtu/h.ft.oF and in W/m.K! (0.033 ; 0.058) 3. A coil-shaped cooling pipe is made of SS-304 material. This pipe is 1 ft long, 0.4 inch outside diameter, and inch inside diameter. This coil cooling pipe is used to cool the water in the bath. The temperature of the inner coil pipe is 40oF while the outer coil in contact with water is 80oF. The thermal conductivity of SS-304 is a function of temperature where k(T) = 7.75 + (7.78 x 10-3).T where k is in Btu/h.ft.oF and T is in oF. Calculate the rate of heat dissipation in watts! (1287.7)A boiler furnace wall must have a heat loss no greater than 700 Btu/hr~ft2 and is madeof a material with a thermal conductivity of 0.60 Btu/hr~ft~F. The inner wall surfacetemperature is '2000°F, and the outer surface temperature is 800°F. What wall thick~ness is required?1.19 A square isothermal chip is of width w = front surface is exposed to the flow of a coolant at To = 15°C. From reliability considerations, the chip temperature must not exceed T = 85°C. 5 mm on a side and is mounted in a substrate such that its side and back surfaces are well insulated; the Coolant T, h Chip = 200 W/m2 · K, what is the maximum allowable chip power? If the coolant is a If the coolant is air and the corresponding convection coefficient is h dielectric liquid for which h = 3000 W/m² · K, what is the maximum allowable power?
- 2. Calculate the heat loss for the structure described below. Use the indoor design setpoint of 70°F. ● . . . ● ● Hint: Utilize the Q=U*A*(ti-to) & Q = U'*P*(ti-to). Make sure to reference the following tables and examples to help assist you solve this problem; Table 5-5a, Table 5-8, Table 5-4a, Example 5-3, Eq. 5-23, and Fig 5-8. Given: i. Location: Des Moines, IA @ 99% winter OAT ii. Walls: Table 5.7, Construction 2 iii. Floor: Concrete slab with 2-ft, R-5.4, vertical edge insulation iv. Windows: Double-Insulating Glass; 1/4-in. air space; e = 0.6 on surface 2, 3x4-ft, double hung, reinforced vinyl frame; three on each side v. vi. Roof-Ceiling: Same as Example 5.3, height of 8-ft vii. House Plan: Single story, 36-ft x 64-ft Doors: Wood, 1-3/4-in. panel doors with metal storm doors, three each, 3x6.75-ft Qwindows = Qdoors= Qwalls = Qroof/ceiling= Qfloor = QTOTAL = Btu/(hroft²0F) Btu/h Heat Loss Btu/h Heat Loss Btu/h Heat Loss Btu/h Heat Loss Btu/h Heat LossWhat is the rate of heat transfer through a piece of Celotex 3 ft by 8 ft by 1 in. in thickness, if the temp of one surface is 80°F and of the other side is 60°F? thermal conductivity of Celotex in AES = 0.028. Pls determine the temperature gradient and the direction of the heat transfer as well.Insulating material is used to reduce heat loss from the heating furnace walls to the room. The surface temperature of the insulating material is 100 ° C and the other surfaces 20 ° C. Allowable heat loss up to 140 W / m2 from the wall. If the thermal conductivity of the insulation material is 0.05 W / (m ° C), calculate the required thickness of insulation. insulation thickness = Answer cm