3-152 Consider a 25-m-long thick-walled concrete duct (k = 0.75 W/m-K) of square cross section. The outer dimensions of the duct are 20 cm x 20 cm, and the thickness of the duct wall is 2 cm. If the inner and outer surfaces of the duct are at 100°C and 30°C, respectively, determine the rate of heat trans- fer through the walls of the duct. Answer: 47.1 kW 30°C. 100°C +16 cm -20 cm- FIGURE P3-152 25 m
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- In a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.7 cm enters into the boiler that has the thermal conductivity as 0.3 W/mK. The boiler is maintained at 107degreeC and temperature of the water that flows inside the pipe is at 31degreeC. If the energy transfer (Q) is 124925 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Length of the pipe, if D = 0.012 L.Change in Temperature (in K) Heat Transfer Rate (in W) Surface Area of the Pipe (m2) Pipe Length (in m) Pipe Diameter (in mm)3-19 Consider a 1.2-m-high and 2-m-wide double-pane win- dow consisting of two 3-mm-thick layers of glass (k = 0.78 W/m . °C) separated by a 12-mm-wide stagnant air space (k = 0.026 W/m. °C). Determine the steady rate of heat transfer through this double-pane window and the temperature of its inner surface for a day during which the room is maintained at 24°C while the temperature of the outdoors is -5°C. Take the convection heat transfer coefficients on the inner and outer Glass 3 12 3 mm Frame FIGURE P3-19 = surfaces of the window to be h₁ = 10 W/m² °C and h₂ 25 W/m². °C, and disregard any heat transfer by radiation.3-201 Steam in a heating system flows through tubes whose outer diameter is 3 cm and whose walls are maintained at a temperature of 120°C. Circular aluminum alloy fins (k = 180 W/m K) of outer diameter 6 cm and constant thickness t = 2 mm are attached to the tube, as shown in Fig. P3-201. The space between the fins is 3 mm, and thus there are 200 fins per meter length of the tube. Heat is transferred to the surrounding air at 25°C, with a combined heat transfer coefficient of 60 W/m2-K. Determine the increase in heat transfer from the tube per meter of its length as a result of adding fins. page 245 FIGURE P3-201 r= 1.5 cm 2-3 cm t=2 mm S 3 mm
- A 20 cm diameter pipe (? = 0.8) is placed in a brick duct (? = 0.9) made of square section with dimension of 30 cm. The temperature of the pipe is 200oC while the temperature of the brick duct is 20oC. Calculate the rate of heat transfer (W) between the pipe and the duct.10 m long pipe is being used to deliver steam through a processing plant. The inner radius of the pipe is ri = 6 cm and the thickness of the pipe is 2 cm. Thermal conductivity k = 8 W/m-K and the average temperature steam flowing through the pipe is 160°C, the average convection heat transfer coefficient on the inner surface is given to be h = 20 W/m2-K. If the average temperature on the outer surfaces of the pipe is T2 = 70°C, (a) express the differential equation and the boundary conditions for steady operating conditions, (b) determine a relation for the variation of temperature in the pipe, and (c) evaluate the rate of heat loss (heat of conduction) from the steam through the pipe.Q10: In a nuclear reactor, 1-cm-diameter cylindrical uranium rods cooled by water from outside serve as the fuel. Heat is generated uniformly in the rods (k = 29.5 W/m - °C) at a rate of 7 x10' W/m?. If the outer surface temperature of rods is 175°C, determine the temperature at their center.
- Room 4 mx 6 mx6m Fan FIGURE P1-31 A student living in a 4-m × 6-m X 6-m dormitory room turns his 150-W fan on before she leaves her room on a summer day hoping that the room will be cooler when she comes back in the evening. Assuming all the doors and win- dows are tightly closed and disregarding any heat transfer through the walls and the windows, determine the temperature in the room when she comes back 10 hours later. Use specific heat values at room temperature and assume the room to be at 100 kPa and 15°C in the morning when she leaves.Consider hotdog being cooked in boiling water in a pan. Would the heat transfer be modeled as one-dimensional or two-dimensional? Would the heat transfer be steady or transient? Explain.Thin walled Aluminum container that is 6 cm in diameter and 7 cm in high equipped with stirrer contain water submersed in hot engine oil at 60°C. If the oil was mixed by the stirrer and the heat transfer coefficient between the water and the glass is 120 W/m2. °C. Find the time needed for the water to heat up from 3°C to 38°C
- Air enters a 7-cm-diameter and 5-m-long tube at 65°C and leaves at 15°C. The tube is observed to be nearly isothermal at 5°C. If the average convection heat transfer coefficient is 20 W/m2.°C, determine the rate of heat transfer from the air. (Solve using EES, and round the answer to 2 decimal places.) The rate of heat transfer from the air is 491 W.For heat transfer purposes, an egg can be considered to be a 5.5-cm-diameter sphere having the properties of water. An egg that is initially at 8°C is dropped into the boiling water at 86°C. The heat transfer coefficient at the surface of the egg is estimated to be 800 W/m2-K. If the egg is considered cooked when its center temperature reaches 60°C, determine how long the egg should be kept in the boiling/water. Solve this problem using analytical one-term approximation method (not the Heisler charts). The length of/time for the egg to be kept in boiling water is determined to be min.A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. The pipe is 10 m long, has an inner diameter of 5 cm and pipe wall thickness of 6 mm. The pipe has a thermal conductivity of 17 W/m.K, and the inner pipe surface is at a uniform temperature of 120 °C. The temperature drop between the inlet and the exit of the pipe is 7 °C, and the constant pressure specific heat of vapor is 2190 J/kg.°C. If the air temperature in the manufacturing plant is 25°C, determine the heat transfer coefficient as a result if convection between the outer pipe surface and the surrounding air. T(r) = 120°C Superheated Air, 25°C r2 vapor r1 0.3 kg/s L = 10 m Tin-Tout = 7°C