2. The drawing shows two thinrods, one made from aluminumMidpoint[a = 23 x 10-6 (C°)-'] and the otherfrom steel [a = 12 × 10-“ (C°)-'].Each rod has the same length andthe same initial temperature and isattached at one end to an immovable wall, as shown. The temperaturesof the rods are increased, both by the same amount, until the gap be-tween the rods is closed. Where do the rods meet when the gap is closed?(a) The rods meet exactly at the midpoint. (b) The rods meet to the rightof the midpoint. (c) The rods meet to the left of the midpoint.AluminumSteel

The coefficient of the linear expansion of Aluminum is α1=23×10-6 (°C)-1. The coefficient of the…

Answered: 2. The drawing shows two thin rods, one…

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.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.35P

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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.
1.63 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.
Q4. Two long rods of the same diameter, one of brass(k= 85 W/mK) and the other of copper (k=375 W/mK) have one of their ends inserted in a furnace and the other ends exposed to the same atmosphere. At a distance of 105mm away from the furnace, the temperature of the brass rod is 120' C. Find the distance from the furnace in which the copper rod have the same temperature.
As shown in the figure, when the temperature was 20 ° C, a 0.5 mm gap was left. Just determine the approximate value (° C) of the temperature required to close the gap.
4 During normalizing process of steel, the specimen is heated a. Between the upper and lower critical temperature and cooled in still air. b. Between the upper and lower critical temperature and cooled in furnace. c. Above the upper critical temperature and cooled in still air. d. Above the upper critical temperature and cooled in furnace.
A square high-density polyethylene [α = 158×10–6/°C] plate has a width of 250 mm. A 150 mm diameter circular hole is located at the center of the plate. If the temperature of the plate increases by 37°C, determine:
Rods of copper, brass, and steel—each with cross-sectionalarea of 2.00 cm2—are welded together to form a Y-shaped figure. Thefree end of the copper rod is maintained at 100.0°C, and the free ends ofthe brass and steel rods at 0.0°C. Assume that there is no heat loss fromthe surfaces of the rods. The lengths of the rods are: copper, 13.0 cm;brass, 18.0 cm; steel, 24.0 cm. What is (a) the temperature of the junctionpoint; (b) the heat current in each of the three rods?
A steel bar has a temperature reading of 70°K inside storage A. it was then transferred to storage B wherein the air temperature if 10°K. After 3 minutes the temperature reading of the steel bar is 25°K. what would be the temperature of the steel after another 3minutes?
As shown in the figure, when the temperature was 20 ° C, a 0.5 mm gap was left. Just determine the approximate value of the Temperature (° C) needed to close the gap.
A 3105 aluminum plate is reduced from 4.38 cm to 2.88 cm. Determine the final properties of the plate. See attached figure
A circular cross-sectional rod made of AISI Type 303 Stainless Steel is normally operated at126oF. Length and radius of the rod are 1.5 ft and 1.75 in., respectively. What would be thechange in length of the rod, if it is subjected to a temperature of 214oF? Coefficient of thermal expansion of the rods’ material is 9.6 × 10^-6 in./in. Degrees Fahrenheit.
A square piece is initially at 10 degrees Celsius everywhere. Each side is 0.05 m long. Then the four sides are instantly heated up to 25 degrees Celsius, 50 degrees Celsius, 30 degrees Celsius, and 0 degrees Celsius. a. Find how long it takes for the temperature profile of this square to become steady if the material is copper. What is the final temperature at the center of the square? b. Find how long it takes for the temperature profile of this square to become steady if the material is air. What is the final temperature at the center of the square? c. Which material takes longer to reach steady state and why?

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