T, 1000 K 350 K Heat flow 6k 4k Heat transfer through a composite wall of two sections, each having same thickness (l), is shown in figure. The thermal conductivity of one section is 6k and that of the other is 4k respectively. The left face of wall is at 1000 K and right face at 350 K. The temperature T(in K) of the interface of the composite wall is
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- 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.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 1.6Estimate the rate of heat loss per unit length from a 5-cm ID, 6-cm OD steel pipe covered with high-temperature insulation having a thermal conductivity of 0.11 W/(m K) and a thickness of 1.2 cm. Steam flows in the pipe. It has a quality of 99% and is at 150C. The unit thermal resistance at the inner wall is 0.0026(m2K)/W the heat transfer coefficient at the outer surface is 17W/(m2K) and the ambient temperature is 16C.
- 3.17 A 1.4-kg aluminum household iron has a 500-W heating element. The surface area is . The ambient temperature is 21°C, and the surface heat transfer coefficient is . How long after the iron is plugged in does its temperature reach 104°C?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 1.41.37 Mild steel nails were driven through a solid wood wall consisting of two layers, each 2.5-cm thick, for reinforcement. If the total cross-sectional area of the nails is 0.5% of the wall area, determine the unit thermal conductance of the composite wall and the percent of the total heat flow that passes through the nails when the temperature difference across the wall is 25°C. Neglect contact resistance between the wood layers.
- 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?Sipho’s mother is making a fire in the stove inside a shack using coal. A fan is used to extract the flue gasfrom the fire via a chimney made of zinc material. The wall thickness of Chimney is L=4mm and the walltemperature of the chimney on the flue gas side is T_si=60˚C. Sipho, playing outside next to the chimneyexperiences an ambient temperature of 20˚C. The surrounding temperature is T_sur=35˚C and the emissivityis ε=0.95. Assume the convection coefficient is 20W/m2K and the chimney is grey material.Under these conditions determine the outer surface (air side) temperature T_so=? of the chimney.
- Heat is conducted through a slab composed of parallel layers of different conductivities, 0.0050 and 0.0025 cal/cm2-sec-°C/cm and thickness 0.36 and 0.48 cm, respectively. The temperatures of the outer faces of the slab are 96 and 8°C, find the temperature of the interface. COMPLETE FBD SOLUTION AND REQUIREMENTS PS. THIS IS A HEAT TRANSFER PROBLEMBlowtorch is used to connect the two pipes together. Length of the pipe section shown is 95 cm with an inner diameter of 65 cm. The thickness of the pipe wall is 2.5 mm. The conductivity of the pipe section is 157 W/m^2K. Environment has a temperature of 20 C and convective heat transfer coefficient of 25 W/(mC) , find the required heat transfer to join the pipe sections at 220 C? HINT: Assume that the welding section is the base plate and the pipe is 1D extended surface (fin) symmetric about the torch melting line. Heat transfer happens by conduction along the pipe thickness in horizontal direction and by convection to the environment.Blowtorch is used to connect the two pipes together. Length of the pipe section shown is 80 cm with an inner diameter of 70 cm. The thickness of the pipe wall is 3 mm. The conductivity of the pipe section is 177 W/m^2K. Environment has a temperature of 25 C and convective heat transfer coefficient of 20 W/(mC) , find the required heat transfer to join the pipe sections at 220 C? HINT: Assume that the welding section is the base plate and the pipe is 1D extended surface (fin) symmetric about the torch melting line. Heat transfer happens by conduction along the pipe thickness in horizontal direction and by convection to the environment. Length thickness Torch melting line