Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- 1. A pipe is covered with three insulation layers where the corresponding thicknesses are 150 mm, 250mm and 300mm and the respective thermal conductivities are 3.2 W/m°C, 2.1 W/m°C and 1.5 W/m C. The length of the pipe is 3m. The inner side of the pipe which has a diameter of 300 mm is exposed to a hot gas at 1000 °C with convection coefficient of 50 W/m2°C and the temperature of the inner side of the pipe surface is 800 °C. The air outside the pipe is at 25°C with a convection coefficient of 35 W/m2°C. a. Draw a schematic diagram which shows the heat transfer process b. Calculate the Heat transfer rate c. The overall heat transfer coefficient "U" of the system based on the inner pipe d. Temperature at each of the layers and at the outermost surface of the pipe.arrow_forwardA dormitory at a large university, built 50 years ago, has exterior walls constructed of L, = 25-mm-thick sheathing with a thermal conductivity of ks = 0.1 W/m-K. To reduce heat losses in the winter, the university decides to encapsulate the entire dormitory by applying an L = 25-mm-thick layer of extruded insulation characterized by k; = 0.029 W/mK to the exterior of the original sheathing. The extruded insulation is, in turn, covered with an Lg = 5-mm-thick architectural glass with kg = 1.4 W/m-K. Determine the heat flux through the original and retrofitted walls when the interior and exterior air temperatures are Too₁ = 22°C and T∞,0 = -20°C, respectively. The inner and outer convection heat transfer coefficients are h; = 5 W/m²-K and h, = 25 W/m²-K, respectively. The heat flux through the original walls is i The heat flux through the retrofitted walls is i W/m². W/m².arrow_forwardApproximately 106 discrete electrical components are placed on a single integrated circuit (chip) with electrical heat dissipation of q = 30,000 W/m². The chip, which is very thin, is exposed to a dielectric liquid at its outer surface, with ho = 450 W/m²/K and To= 20°C, and is joined to a circuit board at its inner surface. The thermal contact resistance between the chip and the board is R = 104 m² K/W, and the board thickness and thermal conductivity are L = 4 mm and 00,0 kb = 0.95 W/m/K, respectively. The other surface of the board is exposed to ambient air for which hi = 30 W/m²/K and T = 20°C. a) Provide a resistance diagram labeling appropriate variables associated with this problem. b) Determine a symbolic expression for the temperature of the chip T. c) Calculate the chip temperature for the given parameters. Coolant ho 00,01 Air Too,i hi 三 三 -Chip q Te -Thermal contact resistance, Re -Board, kparrow_forward
- 150 circular copper fins (k = 400 W / m ° C) of 5 cm diameter and 1 mm thickness are attached to a pipe of 3 cm diameter and 150 cm length, the outer surface of which is kept at 220 ° C. The gap between the wings is 9 mm and the pipe is in an environment at 22 ° C. Since the heat transfer coefficient between the pipe and the ambient air is 80 W / m2 ° C, calculate the heat transfer amount from the finned pipe. Find the amount of increase in heat transfer.arrow_forwardA thick-walled tube of stainless steel (L = 0.50 m; k = 21.63 W/m-K) with an inside diameter of 0.0254 m and outside diameter of 0.0508 m, is covered with an insulation (∆x =0.0254 m) with k = 0.2423 W/m-K. If the inside wall temperature of the pipe is at 400 oC, calculate the temperature at the interface between the metal and the insulation (in oC) if the outside surface of the insulation is at 29.8 oC. 99 K in Pa.arrow_forwardA cast iron pipe (k = 80 W/m - oC) whose inner and outer diameters are 5 cm and 5.5 cm respectively is coverd with a 3 cm thick glass wool insulation (k = 0.05 W/m - oC) The temperature at the inner surface of the pipe is 320 oC and the interface temperature between the pipe and insulation is 300 oC. Determine the surface temperature of the insulation.arrow_forward
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- An industrial cold room has four 200 mm thick walls made of concrete. The walls are insulated on the outside with a layer of foam 60 mm thick. Cladding with a thickness of 15 mm protects the foam on the outside from the elements. The composite wall surface temperatures are –3 °C on the inside and 18 °C on the outside of the room respectively. The thermal conductivities of concrete, foam and cladding are 0.75, 0.35 and 0.5 W/m K respectively. Assuming perfect thermal contact between the layers of the composite walls, draw the typical temperature distribution across the layers and determine the heat energy gained per hour through all 4 walls of the room with a total surface area of 20 m2. What does this heat energy represent in terms of the refrigeration system of the cold room?arrow_forwardqo =4x107 W/m3 heat is produced in a spherical shaped radioactive material with a diameter of R = 0.2 m. The heat produced is released from the spherical surface to the environment in a stable regime. Thus, the temperature on the surface is kept constant at T=80°C The heat transmission coefficient of the object is given as k = 15W / m ° C. The temperature of the spherical body changes only in the radial direction. (T = T (r)). The distribution of temperature in a spherical body: =0 It is defined in the form. T, a) Obtain the temperature distribution T (r). b) Determine the boundary conditions. Find the maximum temperature. (Tmax)arrow_forwardI JUST NEED HELP WITH THE RED MARKED AREAS, THANKS!arrow_forward
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