QUESTION The temperature profile in a 10 cm solid wall is given by T(x) = 1000-100 x + 2000x where r is in meter and T' is in 'C. Y-axis is at the mid plane. The thermo-physical properties of the wall material are of p = 1600 kg/m³, cp = 4000 J/kg. K and k = 10 W/m.K. Calculate: (a) The minimum temperature in the wall and its location. (b) Heat generation inside the wall (c) The time rate of temperature change 7

QUESTION The temperature profile in a 10 cm solid wall is given by T(x) = 1000-100 x + 2000x where r is in meter and T' is in 'C. Y-axis is at the mid plane. The thermo-physical properties of the wall material are of p = 1600 kg/m³, cp = 4000 J/kg. K and k = 10 W/m.K. Calculate: (a) The minimum temperature in the wall and its location. (b) Heat generation inside the wall (c) The time rate of temperature change 7

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.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.4P: 1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus...

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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.
1.4 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.
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1. A beverage cooler is in the shape of a cube, 42 cm on each inside edge. Its 3.0-cm thick wall are made up of plastic (kr = 0.050 W/mK). When the outside temperature is 20°C, how much ice will melt each hour? Tice is 0°C. 2. One of the possible mechanisms of heat transfer in human body is conduction through body fat. Suppose that heat travels through 0.03 m of fat in reaching the skin, which has a total surface area of 1.7 m² and a temperature of 34°C. Find the amount of heat that reaches the skin in half an hour, if the temperature at the body, interior is maintained at the normal value 37°C ? Thermal conductivity of body fat is k = 0.2 J/sm°C. 3. The air in a room is at 25°C and outside temperature is 0°C. The window of the room has an area of 2m² and thickness 2mm. Calculate the rate of loss of heat by conduction through window ? Thermal conductivity for glass is 1 Wm¯'degree!.
The subject is Mechanics of Deformable Bodies
Q2/ A metal plate of 4mm thickness (k = 95.5 W/m°C) is exposed to vapor at 100°C on one side and cooling water at 25°C on the opposite side. The heat transfer coefficients on vapor side and waterside are 14500 W/m^2°C and 2250 W/m^2 °C respectively. Determine the overall heat transfer coefficient *
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Problem 3: Refer to the rectangular region in the figure below, the inner boundary surfaces are insulated and heat genrated within the cast iron solid ġ" (kw/m'). Determine the temperature distribution within the salid where the boundary surfaces are kept at 20 C. where is the location of the maximum temperature? how much it will be if a =2b = 20 cm and c = 2d = 10 cm and heat gencration is 1 kW/m?? 2b 2d ZInsulation 20 ġ" (kW/m) 2a