5-42 A plane wall with surface temperature of 350°C is attached with straight rectangular fins (k 235 W/m K). The fins are exposed to an ambient air condition of 25°C, and the convection heat transfercoefficient is 154 W/m2-K. Each fin has a length of 50 mm, a base 5 mm thick, and a width of 100 mm. For a single fin, using a uniform nodal spacing of 10 mm, determine (a) the finite difference equations,(b) the nodal temperatures by solving the finite difference equations, and (c) the heat transfer rate and compare the result with the analytical solution.FIGURE P5-42Air, 25°Ch= 154 W/m2KT,-350°C=5 mmk= 235 W/m Kw= 100 mmL=50 mm

Answered: 5-42 A plane wall with surface…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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A pin fin of 2024-T6 aluminum has a length and diameter of 8.0 cm and 6.0 mm, respectively. The base of the fin is attached to a solid state electronic device that delivers 2.50 W to the fin. If the fin is surrounded by 25°C air where the heat transfer coefficient is 30 W/m²-K, what is the temperature of the base of the fin? 2.
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The wall of a furnace consists of a 0.85 cm-thick layer of steel (ks = 15.1 W/m/K) and an outer layer of brick (kb = .72 W/m/K). The outer surface temperature of the brick, To = 50oC, and is exposed to convection with air at 20oC providing a heat transfer coefficient of 150 W/m^2/K. Determine the steady temperature at the steel brick interface, Tmid, and on the exposed steel surface, Ti, if the brick layer has thickness Lb = 5 cm.
A 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.
The length of one side of a cube-shaped freezer cabinet is 11.8 m. your closetits base is perfectly insulated against heat transfer and the inner surface temperature is –5 °C, the outer surface temperatureand it is 59°C. To ensure that the thermal load of the cabinet is not less than 0.59 kWThe thickness of the styrofoam foam insulation (k=0.03 W/mK) to be applied to the upper and side surfacesWhat should be less?
Required information Consider a 5-m-high, 8-m-long, and 0.22-m-thick wall whose representative cross section is as given in the figure. The thermal conductivities of various materials used, in W/m-K, are kA=kF=2, kg-8. kc-20, kp=15, and ke-35. The left and right surfaces of the wall are maintained at uniform temperatures of 345°C and 100°C, respectively. Assume heat transfer through the wall to be one-dimensional. Disregard any contact resistances at the interfaces. 1 cm. A4 cm B 4 cm रेव 4 cm Sem 6 cm DI 4 E 6 cm F 10 cm 6 cm 100°C 8m Determine the rate of heat transfer through the wall (in W).
The thermal conductivity of a solid material can be determined using asetup similar to the one shown in the accompanying figure. The thermocouples are placed at 2.5 cm intervals in the known material (copper alloy, k - 52 w/m.k) and the unknown sample, as shown. The known material is heated on the top by a heating element, and the bottom surface of the sample is cooled by running water through the heat sink shown. Determine the thermal conductivity of the unknown sample for the set of data given in the accompanying table. Assume no heat loss to the surroundings and perfect thermal contact at the common interface of the sample and the copper.
A block with thickness 2.3cm, and conductivity k-4W/mK is heated such that its temperature at its top is T₁-191°C Above the block, air at temperature Tair 22°C is blowing across the top which has a surface area of 1m² with heat transfer coefficient of 26W/m²K. air & W/mK T₁ T₂ What is the thermal resistance from T₂ to T? Provide total thermal resistance answer in units of K/W and to 4-decimal places

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