C:An aluminum fin [k=200 W/m C] 3.0 mm thick Z is fin width=20 cm and 7.5 cm long protrudes from a wall, as Figure. The base is maintained at 300°C, and the ambient temperature is 50 C with h=10 W/m2 C. Calculate the heat loss from the fin per unit depth of material. +/dx/+ dqhPds (I)
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- A spacecraft radioisotope thermoelectric generator (RTG) contains a cylindrical nuclear element, pictured below. The nuclear element generates q̇g = 200 kW/m3. The RTG is surrounded by eight (N = 8) identical rectangular fins. Each fin’s height (H), length (L), and thickness (t) are given in the picture. The fins are directly machined from a stainless steel cladding of inner and outer radii r1 and r2, respectively. The stainless steel has thermal conductivity of k = 18 W/m·K. Assume that the RTG is in a well-ventilated lab, where the convection heat transfer coefficient is h = 20 W/m2·K and the surrounding temperature is T = 20°C. Ignore effects of thermal radiation. (a) Calculate the fin efficiency of a single rectangular fin, f. (b) Calculate the overall fin efficiency of the entire eight fin array, Obtain the maximum temperature in the stainless steel cladding, T(r1).Find the minimum amount of diameter for the insulation of a spherical water tank? Radius of the tank is 10 m, thermal conductivity is 25 W/(m^2*K) and convective coefficient is 5 W/(m*K)A 2 cm thick steel pipe (thermal conductivity 43 W/[m °C]) with 6 cm inside diameter is being used to convey steam from a boiler to process equipment for a distance of 40 m. The inside pipe surface temperature is 115°C, and the outside pipe surface temperature is 90°C. If there is 600kW of heat loss, what is the thickness of the pipe?
- A steam pipe carrying steam at 380 kPa pressure for a distance of 120 m in a chemical plant is not insulated. Estimate the Amount of heat saved if 16 cm steam line were covered with 85% magnesia pipe covering 5 cm thick. Take room temperature to be 36 ℃. Thermal conductivity of 85% magnesia is 0.0745 W/m−K , unit convective coefficient of room air, ho = 12 W m2−K .Take the steam temperature as 142℃. Use atleast 4 decimal places in every computationConsider the vertical heat sink (see the figure) used to cool a surface at 70 0C. The room temperature is 30 0C. The dimensions are given as (H=2 cm, L=5 cm, t=1 mm, W=15 cm). If the space between the fins is arranged so that the heat transfer rate is maximum, what is the heat transfer rate from the heat sink? Properties of air: ρ=1 kg/m3, k=0.03 W/mK, ν=1.5x10-5 m2/s, cp=1 kJ/kg0C, Pr=0.7A glass window with an area of 0.625 m² is installed in the wooden outside wall of a room. The wall dimensions are 25 x 3.05 m. The wood has a k of 0.151W/m.K and is 3.05 cm thick. The glass has a k of 0.692W/m.K and is 5.0 mm thick. The temperature of the inside room is 27°C and outside air temperature is 268K. (1)What is the heat loss through wooden wall and glass window q(W) ? (2) What are the total heat loss?
- 5. A 10-in nominal pipe (outside diameter = 10.75in) is covered with a composite pipe insulation consisting of 2.0 in of insulation I placed next to the pipe and 1.5 in of insulation II placed upon insulation I. Assume that the inner and outer surface temperatures of the composite insulation are 900F and 150F respectively, and that the thermal conductivity of material I is 0.05 BTU/hr-ft-F and for material II is 0.039 BTU/hr-ft-F. What is the individual thermal resistance of insulation I?An elastic rod with a cross-sectional area A = 2mm2 is stretched from an intial legth of 1.0m to a final legth of 1.1m at a constant tempreture of 15 degrees celcius . Calculate the heat exchanged between the elastic rod and its surroundings if it is made of a material with a isothermal Youngs modulus ET = 150GPa and a linear expansivity at constant tension af = 15 x 10 -6 K-1. a) 129.6675 J b) -129.6675 J c) -6.75 J d) 6.75 JSteel pipe 5 cm thick, 1.0 m long and 12 cm deep, covered with 8 cm thick insulation. The wall temperature in the steel pipe is 100 ° C. The ambient temperature around the insulated pipe is 24 ° C. The convection heat transfer coefficient outside the insulation surface is 50 W / (m² K). The thermal conductivity of steel is 54 W / (m K), and the thermal conductivity of the insulation is 0.04 W / (m K). Count; a. Heat loss per meter of pipe = watt. b. Temperature between steel pipe and insulation. = ° C.
- A 10 cm diameter pipe is covered by 2 layer of logging. the inside layer is 4 cm thick and has a coefficient of thermal conductivity of 0.08 w/m-k. the outside layer is 3 cm thick and has coefficient of thermal conductivity of 0.15 w/m-k. the steam main conveys steam a pressure of 1.7 mpa with 25 C superheat. the outside temperature of the lagging is 27 C. if the steam main is 30 m long, determine the interface temperature of the lagging and overall coefficient of heat transfer based on outside area.Steel pipe 3 cm thick, 1.0 m long and 10 cm deep, quiet with 6 cm thick insulation. The inner wall temperature of the steel pipe is 100 ° C. The ambient temperature around the integrated pipe is 24 ° C. The convection heat transfer coefficient outside the surface is 50 W / (m² K). The thermal conductivity of steel is 54 W / (m K), and the thermal conductivity of the insulation is 0.04 W / (m K). Count; A. Heat loss per meter of pipe = answer watt. b. Temperature between steel pipe and insulation. = Answer ° C.How long must a 0.4 cm cylindrical copper fin be if the temperature of its insulated tip exceeds thesurrounding air temperature by 20% of T0 – T∞? Consider air temp to be 20°C and ℎ̅ = 28 W/m2K. Book gives answerof 27.3 cm.• You can use figure 4.9a or equation 4.45 in the book to find the right mL for the desired at the tip. • Recall the nondimensional temperature is = (T – T∞)/(T0 – T∞)