Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 3.51P
(a)
To determine
The minimum insulation thickness.
The heat loss per meter length of tube.
(b)
To determine
The effect of temperature on insulation thickness and heat loss per unit length of tube.
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1. Saturated steam at 500 K flows in a 0.20 m inside diameter, 0.21 m outside
diameter pipe. The pipe is covered with 0.08 m of insulation with a thermal
conductivity of 0.10 W/m-K. The pipe's conductivity is 52 W/m-K. The ambient
temperature is 300 K. The unit convective coefficients are h; = 18,000 W/m²-K and
ho = 12 W/m²-K. Determine the heat loss (kJ/min) from 4 m of pipe.
• show conversions, units, and box in your final answers
In a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.2 cm enters into the boiler that has the thermal conductivity as 0.37 W/mK. The boiler is maintained at 113C and temperature of the water that flows inside the pipe is at 29C. If the energy transfer (Q) is 118779 kJ in 7 hours.
Calculate:
4-Length of the pipe, if D = 0.017 L.
5-Pipe Diameter (in mm)
You are designing a 3m x 3m floor with radiant heating. The floor has 12 parallel pex pipes (k = 40 W/mK) of L = 3m, OD = 25mm and ID = 20mm. Hot water (TInfintiy 1 = 90oC, h = 200 W/m2K) runs through the pipes continuously. The surface below the pipes is perfectly insulated. Above the pipes, there is a 3mm layer of bonding material (? = 12 W/mK) and a 9mm layer of tile (k = 2 W/mK). Above the tile, there is air (TInfinity 2 = 25oC, h = 20 W/m2K).
Properties of Air: k = 0.025 W/mK, Pr = 0.72, v = 1.847 x 10−5, u = 16.84 x 10−6, p = 1.2 kg/m3, B = 1/Tf (ideal gas),
Hint: Assume that the “layer” of pipe starts at the center point (e.g. for conduction purposes, the pipe is OD divided by 2 thick). For convection, consider the entire pipe surface.
a) What is the total heat rate entering the room above the floor?
b) What is the temperature of the top of the tile?
Chapter 3 Solutions
Introduction to Heat Transfer
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