Determine the temperature distrubition of the fin shown in figuere. Tip of the fin is adiabatic Accept it as an one-dimensional heat transfer. in a Continuous regime for the thin-tip air foil with the Shape shown in figure.
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- 3.10 A spherical shell satellite (3-m-OD, 1.25-cm-thick stainless steel walls) re-enters the atmosphere from outer space. If its original temperature is 38°C, the effective average temperature of the atmosphere is 1093°C, and the effective heat transfer coefficient is , estimate the temperature of the shell after reentry, assuming the time of reentry is 10 min and the interior of the shell is evacuated.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
- diamter of 1.5m is at 300x 3° A hot sphere having is buried in a material wnth k=1.2 Wc and the outside surface is Centerline of the Sphere is 3.75 m.Calkulate heat lass. a and at 30°C. The depth of theConsider a large plane wali of thickness L03 m thermal conductivity k25 /m K, end surfece aree A 12 m The left side of the well ot x=O is subjected to a net heat flux of go760 W/m while the temperature at that surfece is measured to be T 80°C Assuming constant thermal conductivity and no heat generation in the wall, ovaluate the temperature of the right surface of the wall at xEL The temperature of the right surfaoe of the wall at x LisThe 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 tobe
- The thermal conductivity of a metal plate (20 w/m.k) measuringCImxlm)is The plate it at a uniform temperature af (80°c) heat to the surrounding air which is at (405) and heat transkr Cefficient is (4ow/m=k) It was attended to double, the heat loss hy adding reetmguelar Lins to and lasses the surtace, leach, fin is the ns are (im) long (5nm) thick spaced (45 mm) Cayter to cantr tips, and Neglecting heattransfer from Rin to caleulate requircd height f fins 2You are designing a 3m x 3m floor with radiant heating. The floor has 12 parallel pex pipes (k = 40 W/mK) of L = 3m, OD = 25mm and ID = 20mm. Hot water (TInfintiy 1 = 90oC, h = 200 W/m2K) runs through the pipes continuously. The surface below the pipes is perfectly insulated. Above the pipes, there is a 3mm layer of bonding material (? = 12 W/mK) and a 9mm layer of tile (k = 2 W/mK). Above the tile, there is air (TInfinity 2 = 25oC, h = 20 W/m2K). Properties of Air: k = 0.025 W/mK, Pr = 0.72, v = 1.847 x 10−5, u = 16.84 x 10−6, p = 1.2 kg/m3, B = 1/Tf (ideal gas), Hint: Assume that the “layer” of pipe starts at the center point (e.g. for conduction purposes, the pipe is OD divided by 2 thick). For convection, consider the entire pipe surface. a) What is the total heat rate entering the room above the floor? b) What is the temperature of the top of the tile?A 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 please
- Example: Steam in a heating system flows through tubes whose outer diameter isD1=3 cm and whose walls are maintained at: = 1.5 cm 2= 3 cm temperature of 120°C. Circular aluminun fins ( k=180 W/m °C) of outer diamete D2 6 cm and constant thickness t =2 mn T r32 mm are attached to the tube, as shown in Fig The space between the fins is 3 mm, an thus there are 200 fins per meter lengtl of the tube. Heat is transferred to th surrounding air at T= 25°C, with a combined heat transfer coefficient of h= 60 W/m2 °C. Determine the increase in heat transfer from the tube per meter of its length as a result of adding fins. S 3 mmQ3) A stainless steel straight triangular fin has the thermal conductivity of the material used is 16.3 W/m-K. The base temperature of the fin is 460°C and surface heat transfer coefficient is 28 W/m-K. If the atmospheric air- temperature is 93°C, the thickness is 6.4mm and the length is 25 mm. Find the heat lost from the fin.3-5 The wall of a drying oven is constructed of an insulation layer of glass-wool (k-0.05 W/m.K) sandwiches between thin metal sheets of negligible thermal resistances. The oven is at Tol = 300 °C, and the corresponding convection coefficient is hi=25 W/(m?.°C). The inner wall surface absorbs a radiant heat flux of q=250 W/m² from a hotter objects placed inside the oven. The outside surface of the wall rejects heat by convection into an ambient air at room air is at Tu =25 °C, with a convection coefficient of h2 =15 W/(m2.°C). a- Draw the thermal eircuit for the wall and label the temperatures, heat rates, and thermal resistances. b- Determine the insulation thickness required to maintain the outer surface at a safe-to-touch temperature of 45 °C. Absorbed radiation Insulation 2A Oven air Ambient air Toi hi