A 0.3-cm-thick, 12-cm-high, and 18-cm-long circuit board houses 80 closely spaced logic chips on one side, eachdissipating 004 W, as shown in the figure. The board is impregnated with copper fillings and has an effective thermalcònductivity of 30 W/m-K. All the heat generated in the chips is conducted.across the circuit board and is dissipated fromthe back side of the board to a medium at 78°C, with a heat transfer coefficient of 40 W/m2-K.RegoryRAhumimnRcanv71.WWw.TazDetermine the temperature T2-The temperature T2 is°C.

Answered: Image /qna-images/answer/c6237470-545a-4ed3-b680-bcc2fe8db2ed.jpg

Answered: A 0.3-cm-thick, 12-cm-high, and…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A 1-in Sch 40 stainless steel pipe with a thermal conductivity of 45 W/m-K can move 1,000 kg of saturated steam per hour at 150 °C. Refractory material 0.25 inches thick with a thermal conductivity of 0.025 W/m-K insulates the pipe. At a temperature of 25 °C, the pipe is exposed to the outside air. There is a 1135 W/m2 internal heat transfer coefficient.40 W/m2-K is the outside heat transfer coefficient, whereas -K. Suppose that only the radial direction is involved in steady-state heat transfer and that radiation effects are negligible. ✓ Determine how much heat is being lost through these pipes to the environment.a. 399.1 W/mb. 1525.0 W/mc. 618.4 W/md. 1128.7 W/me. none of the above √ How about the insulated pipe's surface temperature?a. 118.5 °Cb. None of the abovec. 101.5 °Cd. 216.3 °Ce. 292.2 °C
Approximately 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, kp
Water hardening process of 2 m long and 0.05 m diameter steel bars will be carried out. The steel bar, which is heated up to 900 °C in the oven, is cooled to an average temperature of 100 °C in a water bath. The water bath is kept at a uniform temperature of 30 °C and the heat transfer coefficient between the water and the rod surface is 325 W/m2K. Accordingly, calculate the time required for the steel bar to cool to 100°C in the water bath. (Steel bar p=7832 kg/m3, cp=434 J/kgK, k=63.9 W/mK)
A 12cm outside diameter and 10cm inside diameter cast iron pipe with conductivity of 80W/m-K has 4 cm of polystyrene insulation with conductivity of 0.027W/m-K. Saturated steam at 500degC is flowing through pipe and the outside surface temperature is 60degC. Determine the temperature of the outside surface of the pipe.
A slab of material has an area of 4.51m2 and 1.04mm thick. One side is maintained at a temperature of 0°C while the other is at 11.8°C. It is determined that 6160 Joule of heat flows through the materials in a time of 10min. What is the thermal conductivity of the material in W/m-K?Answer: 0.000200633
A flat wall is exposed to an environmental temperature of 38 oC. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.4 W/m oC, and the temperature of the wall on the inside of the insulation is 315 oC. The wall loses heat to the environment by convection. Compute the value of the convection heat-transfer coefficient that must be maintained on the outer surface of the insulation to ensure that the outer-surface temperature does not exceed 41oC.
A stainless steel pipe with a length of 35 ft has an inner diameter of 0.92 ft and an outer diameter 10.08 ft. The temperature of the inner surface of the pipe is 122 F and the outer surface is 118 F. The thermal conductivity of the stainless steel is 108 BTU/hr-ft-F. Calculate the heat transfer at the outer surface of the pipe.
Consider a wall made of Material A that is 4.5m long, 3.0m high, and 0.22m thick. The interior and exterior design temperatures are Too1 and Too2, respectively, the heat transfer coefficients on the interior and exterior surfaces are 10 and 20W / m2 •C. If insulating material is placed on the inside surface of the wall to maintain the temperature shallow from it to T1. Determine the required thickness of the insulating material.
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.
Calculate the heat transfer in kj per hour through a solid brick wall 9 cm, 3 m high and 219 mm thick, when the outer surface is at 5C and the inner surface 17C, the coefficient of thermal conductivity of the brick is 0.6 W/m-K.
Q4/A 2-mm-diameter and 10-m-long electric wire is tightly wrapped with a 1-mm-thick plastic cover whose thermal conductivity is k-0.15 W/m "C. Electrical measurements indicate that a current of 10 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulated wire is exposed to a medium at Ts= 30°C with a heat transfer coefficient of h-24 W/m² C, determine the temperature at the interface of the wire and the plastic cover in steady operation. Also find the critical radius of plastic insulation. [334 T=30°C Electrical wire Insulation bale 10 m

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