In areas where the air temperature remains below 0°Cfor prolonged periods of time, the freezing of water in undergroundpipes is a major concern. Fortunately, the soil remainsrelatively warm during those periods, and it takes weeks for thesubfreezing temperatures to reach the water mains in the ground.Thus, the soil effectively serves as an insulation to protect thewater from the freezing atmospheric temperatures in winter.The ground at a particular location is covered with snowpack at 28°C for a continuous period of 60 days, and theaverage soil properties at that location are k 5 0.35 W/m·K anda = 0.15 * 10-6 m2/s. Assuming an initial uniform temperatureof 8°C for the ground, determine the minimum burialdepth to prevent the water pipes from freezing.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In areas where the air temperature remains below 0°C
for prolonged periods of time, the freezing of water in underground
pipes is a major concern. Fortunately, the soil remains
relatively warm during those periods, and it takes weeks for the
subfreezing temperatures to reach the water mains in the ground.
Thus, the soil effectively serves as an insulation to protect the
water from the freezing atmospheric temperatures in winter.
The ground at a particular location is covered with snow
pack at 28°C for a continuous period of 60 days, and the
average soil properties at that location are k 5 0.35 W/m·K and
a = 0.15 * 10-6 m2/s. Assuming an initial uniform temperature
of 8°C for the ground, determine the minimum burial
depth to prevent the water pipes from freezing.

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