Consider a 25 mm×25 mm×1 mm thick silicon die attached to a same size 2 mm-thick copper cap through a 0.1 mm thick thermal interface material (TIM) as shown in Figure 2.1. Convection heat transfer coefficient on the top side of the copper cap is 2500 W/m²°C. If thermal conductivity of silicon, copper, and thermal interface material are 125, 390, and 5 W/m°C, respectively, what is the total thermal resistance from the active (bottom) side of the silicon die to outside ambient?

Consider a 25 mm×25 mm×1 mm thick silicon die attached to a same size 2 mm-thick copper cap through a 0.1 mm thick thermal interface material (TIM) as shown in Figure 2.1. Convection heat transfer coefficient on the top side of the copper cap is 2500 W/m²°C. If thermal conductivity of silicon, copper, and thermal interface material are 125, 390, and 5 W/m°C, respectively, what is the total thermal resistance from the active (bottom) side of the silicon die to outside ambient?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.40P: One end of a 0.3-m-long steel rod is connected to a wall at 204C. The other end is connected to a...

See similar textbooks

Similar questions

1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.4
1.63 Liquid oxygen (LOX) for the space shuttle is stored at 90 K prior to launch in a spherical container 4 m in diameter. To reduce the loss of oxygen, the sphere is insulated with superinsulation developed at the U.S. National Institute of Standards and Technology's Cryogenic Division; the superinsulation has an effective thermal conductivity of 0.00012 W/m K. If the outside temperature is on the average and the LOX has a heat of vaporization of 213 J/g, calculate the thickness of insulation required to keep the LOX evaporation rate below 200 g/h.
One end of a 0.3-m-long steel rod is connected to a wall at 204C. The other end is connected to a wall that is maintained at 93C. Air is blown across the rod so that a heat transfer coefficient of 17W/m2 K is maintained over the entire surface. If the diameter of the rod is 5 cm and the temperature of the air is 38C, what is the net rate of heat loss to the air?
A square silicon chip 7mm7mm in size and 0.5-mm thick is mounted on a plastic substrate as shown in the sketch below. The top surface of the chip is cooled by a synthetic liquid flowing over it. Electronic circuits on the bottom of the chip generate heat at a rate of 5 W that must be transferred through the chip. Estimate the steady-state temperature difference between the front and back surfaces of the chip. The thermal conductivity of silicon is 150 W/m K. Problem 1.6
1.3 A furnace wall is to be constructed of brick having standard dimensions of Two kinds of material are available. One has a maximum usable temperature of 1040°C and a thermal conductivity of 1.7 W/(m K), and the other has a maximum temperature limit of 870°C and a thermal conductivity of 0.85 W/(m K). The bricks have the same cost and are laid in any manner, but we wish to design the most economical wall for a furnace with a temperature of 1040°C on the hot side and 200°C on the cold side. If the maximum amount of heat transfer permissible is 950 , determine the most economical arrangement using the available bricks.
1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss through a wall of 10-cm thickness is . If a thermocouple at the inner surface of the wall indicates a temperature of 22°C while another at the outer surface shows 6°C, calculate the thermal conductivity of the concrete and compare your result with the value in Appendix 2, Table 11.
2. Calculate insulation thickness (minimum value) required for a pipe carrying steam at 180°C. The pipe size is 8" and the maximum allowable temperature of outer wall of insulation is 50 °C. Thermal conductivity of the insulation material for the temperature range of the pipe can be taken as 0.04 W/m K. The heat loss from steam per meter of pipe length has to be limited to 80 W/m. ANSWER: 102.5 mm
composite protective wall is formed of a 1 in copper plate, a 1/8 in layer of asbestos, a 2 in layer of fiberglass. The thermal conductivities of the materials in units of BTU/hr-ft-F are 240, 0.048 and 0.022 respectively. The overall temperature difference across the wall is 500 F. Calculate the heat transfer per unit area through the composite structure.
A composite wall is exposed to hot combustion gases as shown in the figure below. There is a thermal contact resistance of 0.03 m?K/W between wall A and wall B. Thickness of wall A, is 30 mm and wall B, 40 mm. If the surface temperature of the wall B, Tsg, is measured as 210°C, calculate the heat transfer through the composite wall per unit area in kW/m?. Mark the nearest answer. thermal contact resistance T-- 2100 °C h= 100 W/mk 11 ka 30 W/mk 20 W/mK
1. Consider a 5-m-high, 8-m-long, and 0.22-m-thick wall whose representative cross section is as given in the Fig. The thermal conductivities of various materials used, in W/m-°C, are k = kr = 2, KB = 8,kc=20, KD = 15, and k = 35. The left and right surfaces of the wall are maintained at uniform temperatures of 300 °C and 100 °C, respectively. Assuming heat transfer through the wall to be one-dimensional, determine: (a) the rate of heat transfer through the wall; (b) the temperature at the point where the sections B, D, and E meet; and (c) the temperature drop across the section F. Disregard any contact resistances at the interfaces. 300°C 1 cm C A 4 cm B 4 cm 4 cm D C 6 cm 5 cm 6 cm E| F 10 cm 6 cm 100°C 8 m
Steel pipe 1 cm thick, 1.0 m long and 5 cm inside diameter, covered with 2 cm thick insulation. The wall temperature in the steel pipe is 100 ° C. The ambient temperature around the insulated pipe is 24 ° C. The convection heat transfer coefficient outside the insulation surface is 50 W / (m² K). The thermal conductivity of steel is 54 W / (m K), and the thermal conductivity of the insulation is 0.04 W / (m K). Count; a. Heat loss per meter of pipe = Answer watt. b. Temperature between steel pipe and insulation. = Answer ° C.
very long rod 5 mm in diameter has one end at 250°C. The surface of the rod is to ambient air at 25°C with a convection heat transfer coefficient of 50 W/m2.K. The thermal conductivity of the rod, k = 100 W/m.K. Assume steady-state conditions. (a) Determine the temperature in the rod at x = 50 mm and at x = 100 mm. A exposed %3D (b) Also find the heat loss from the rod. (c) Calculate the fin effectiveness. Draw sketch and show all calculations.