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- Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner radius ri and outer radius ro, made of a material whose thermal conductivity varies linearly with temperature, is given by qkL=TiTo(rori)/kmA where Ti = temperature at the inner surface To = temperature at the outer surface A=2(rori)/ln(ro/ri)km=ko[1+k(Ti+To)/2]L=lenthofcyclinderDetermine the rate of heat transfer per meter length from a 5-cm-OD pipe at 150C placed eccentrically within a larger cylinder of 85 magnesia wool as shown in the sketch. The outside diameter of the larger cylinder is 15 cm and the surface temperature is 50C.A spherical communications satellite, 2 m in diameter, is placed in orbit around the earth. The satellite generates 1000 W of internal power from a small nuclear generator. If the surface of the satellite has an emittance of 0.3, and is shaded from solar radiation by the earth, estimate its surface temperature.
- 1.29 A spherical interplanetary probe with a 30-cm diameter contains electronic equipment that dissipates 100 W. If the probe surface has an emissivity of 0.8, what is its surface temperature in outer space? State your assumptions in the calculations.Using Table 1.4 as a guide, prepare a similar table showing the orders of magnitude of the thermal resistances of a unit area for convection between a surface and various fluids.The compartment below is used as a freezer of refrigerator compartment. Inner wall is at -10 C and outer wall is at 20 C. Insulator with a thermal conductivity of 0.040 W/(mK) is used to prevent the heat losses from the compartment. The shape is in square form with a side of 1.3 m and unit width into the page. Determine the amount of the heat load if the thickness of the insulator is 2 cm? *
- The wall of a furnace comprises three layers as shown in the figuie. The first layer is tery (whose maximum allowable temperature is 1400°C) while the second laver is Tracto:y Chose maximum allowable temperature is 1093°C). The third layer is a plate of 6 35 od thermal contact. Steet plare To 6.35x3 45A 1370 C Concerntiation veluciy 37.8 C mass Siynes Figure. Layers in a composite furnace wall. e temperature To on the inside of the refractory is 1370°C, while the temperature T; on the side of the steel plate is 37.8° The heat loss through the furnace HnIlisexpectet tobeA pipe has inner diameter 31 mm, outer diameter 106 mm, and length 4.3 m. Its thermal conductivity is 476 W m-1 K-1. The inner and outer surface temperatures are 103°C and 18°C, respectively. What is the heat transfer rate from inside to outside? (Answer in W and round your answer to the nearest integer) Handwritten pleaseQ1) A polished metal pipe (8 cm) owtside diameter and 350 K temperature at the outer surface is exposed to ambient conditions at 285 K temperature. The emissivity of the surface is 0.3 and the convection coefficient of heat transfer is 13.5 Wim2-deg. What would be the overall coefficient of heat transfer by the combined mode of convection and radiation” Q2 find the pressure point (1) if the amospheric pressure is(70kpajihl =0 2,h2=0.4,h3=0. ‘)(p. =13600kg/m3. poil=850kg/m3)
- oii- A conductor transfers heat of 30 J t OECC oss it's length of Hiat it's 20 C17 in 6 seconds- Given cross- sectional airea A is 55om?. Determine the thermal condluctivity of the material if the temperature difference across the ends is 67°C - ii An object of emisivitiy 0'7 and co5oss- sectional of SSmm? at room tenmpeiature area of 30 losses energy What is the initial temperat ure of the object? I0=5.6703x 108 W/m/ +] at Tate of 38.65/8.The thermal conductivity of a metal plata measuring CImxlm) ts (20 w/m.k) The plate is at a cmiform temperature af (80°c) heat to the suprounding air which is at (405) and heat transkr Coefficiont is (4ow/mk) Jt was attended to double, the heat loss by adding reatangular Lins to the surface, leach, fin is (im) loug the ns are spaced (45mm) Coyter to cnter heat trewster from Kin tips, and and lasses. tong (Snm) thick Neplecting . caleulate required height of ins 2(Q3) sk) - A 5mx7m wall consists of 3 glass windows of 1.5mx1.5m dimensions. The wall has thickness of 0.125 m and a thermal conductivity of 0.5 W/m.K. while the glass windows are 6 mm thick with a thermal conductivity of 1:24 W/mK. The values of internal and external surface conductance for the wall (including glass) are 8.1W/m2 K and 34.2 W/m² K, respectively. The internal and external temperatures are 20°C and -30°C, respectively. Calculate the total heat transfer rate through the wall. What percentage of this heat transfer is through the windows? R