A long water channel is covered with an aluminum cover 8 mm thick and 240 mm wide. The water flowing in the channel is at 24°C and has a heat transfer coefficent of hw = 275 W/m2 · K. The top of the cover is exposed to air at 24°C, and a heat transfer coefficient ha = 12 W/m2 · K. If the two sides of the aluminum cover are kept at 95°C, find a) Temperature at the middle of the aluminum cover b) Heat transferred to water per unit length of cover c) Heat transferred to air per unit length of Cover
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- A steam is flowing through a 5.7 m long of steel tube that has inner and outer radii of r, = 0.015 and r, 0,024 m, and a thermal conductivity of 0.14 W/m.K. The steam and the outer surface of the tube is maintained at constant temperature of 150 °C and the air = 25 °C, h = 0.35 W/m2.k) is surrounding the tube. To prevent the outer surface of the steel from the environmental conditions, a material that has a thermal conductivity of 0.014 W/m.k is wrapped over the outer surface of the steel. What is the maximum heat transfer from the steam to the air (W)? NOTE: Enter your answer. Answer Air Th Steam Steel Tr 111 ToThere are 2 different types of fins: circular section and square section. Both fins are 30 cm length and they are made of copper with 380W/mK_conductivity. The circular section fin diameter is D = 3mm and the lateral width of the square section fin is W = 50 mm. The fin base temperature is -10°C. The fins are immersed in an oil bath at 50°C and perpendicular velocity to the axis of the fins. Obtain the maximum heat rate absorbed in each types of fin for an oil velocity of 60 m/s. Justify every calculation and assumption. Answer: 27.42W (circular section); 987.53W (square section parallel oriented); 1018.6W (square section oblique oriented)The wall of a 5 m high cylinderical steel tank (ks= 20 W/mK) of inner diameter 1.5 m and 200 mm thick contains hot oil at 100 C. On the outside of the tank 12 mm of spray urethane insulation is added to stop the oil from cooling. If the worst outside temperature is -6 , (hi = 16 W/m^2 K) and (ho = 5 W/m^2 K) how much heat needs to be added to keep the tank at 100 C for pumping reasons and what are the overall heat transfer coefficients Uo and Ui?
- Solve for this : An engine cover is made from 1 cm thick stainless steel plate (k = 14 W/m K). Air on the inside of the engine cover is heated to 340°C with a heat transfer coefficient of 7 W/m2K. Outside of the engine coverthe ambient air has a temperature of 70°C. If oil was spilled on the outside of the engine cover (ambient side), it could ignite if the surface temperature were to exceed 200°C. In this configuration, would spilled oil ignite? Use calculations to justify your answer. If a 4 mm thermal coating (k = 1.1 W/m K) was applied tothe outside of the engine, what would the outside temperature of the engine cover be reduced to?A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30°C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).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.
- Steam in a heating system flows through tubeswhose outer diameter is 5 cm and whose walls are maintainedat a temperature of 180°C. Circular aluminum alloy 2024-T6fins (k = 186 W/m·K) of outer diameter 6 cm and constantthickness 1 mm are attached to the tube. The space betweenthe fins is 3 mm, and thus there are 250 fins per meter lengthof the tube. Heat is transferred to the surrounding air at T` = 25°C, with a heat transfer coefficient of 40 W/m2·K. Determine the increase in heat transfer from the tube per meter of its length as a result of adding fins.A 0.5-ampere current is flowing through a long electrically conducting cylindrical rod. The diameter of the rod is 6 mm, the electrical resistance of the rod is R = 2000 /m, and k =0.9 W/m K for the rod. The rod is encased in a 2-mm thick Pyrex tube and a 20°C liquid is flowing over the outer surface of the Pyrex tube. The convection heat transfer coefficient for the liquid h= 800 W/m2 . K. The interfacial conductance (contact resistance) at the interface between the rod and the Pyrex tube is h = 1200 W/m² - K. a) Compute the rate of heat generation in the rod and use it compute the volumetric rate of heat generation. b) Find the temperature drop across the interface between the outer surface of the rod and the inner surface of the Pyrex tube. c) Find the temperature at the center of the rod.A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m°C. The prism is connected on the left- hand side to a molten metal tank with temperature To=2000°C. The periphery of the prism is cooled by a slow air stream at To=30°C with heat transfer coefficient h=10W/m² °C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m). T(x)=1.966x10-6e5.18x+1.970e-5.18x+30 T(x)=1.966x10-6e5.18x-1.970e-5.18x T(x)=1.966×10-6e5.18x+1970e-5.18x+30 T(x)=1.966×10-6e5.18x+1970e5.18x
- Steam at 200 oC flows in a cast iron pipe (k = 70 W/m.K) whose inner and outer %3D diameters are D1 = 0.20 m and D2 = 0.40 m respectively. The pipe is covered with a 1.0-cm thick glass wool insulation (k 0.05 W/m.K). The heat transfer coefficient at the inner surface is 65 W/m2.K. If the temperature at the interface of the iron pipe and the insulation is 196 oC, the temperature at the outer surface of the %3D %3D insulation is Select one: A. 200.04 oC OB. 162.23 oC OC 12.12 oC D. 150.66 oc OE 172.16 oCSolve for this: Steam at 200°C flows in a stainless steel pipe (k = 15 W/m·K) whose inner and outer diameters are 5.5 cm and 6 cm. The pipe is covered with 3-cm-thick insulation (k = 0.038 W/m·K). Heat is lost to thesurroundings at 7°C by convection, with a convection heat transfer coefficient of 24 W/m2·K. Taking the heat transfer coefficient inside the pipe to be 70 W/m2·K, determine the rate of heat loss from the steamper unit length of the pipe. Also determine the temperature drops across the pipe shell and the insulationSteam flows in an insulated pipe at a temperature 130 C. The insideheat transfer coefficient is 79 W/m2-K and the outside coefficient is 15W/m2-K. The pipe is mild steel (k=57 W/m-K) and has an inside radiusof 50 mm and an outside radius of 57 mm. the pipe is covered with a25.4 mm layer( k=0.09 W/m-K). Determine the overall heat transfercoefficient if the surrounding air temperature is 21.1 C.