The soil temperature in the upper layers of the earthvaries with the variations in the atmospheric conditions. Beforea cold front moves in, the earth at a location is initially at a uniformtemperature of 10°C. Then the area is subjected to a temperatureof 210°C and high winds that resulted in a convectionheat transfer coefficient of 40 W/m2·K on the earth’s surface fora period of 10 h. Taking the properties of the soil at that locationto be k = 0.9 W/m·K and a = 1.6 * 10-5 m2/s, determinethe soil temperature at distances 0, 10, 20, and 50 cm from theearth’s surface at the end of this 10-h period.
The soil temperature in the upper layers of the earthvaries with the variations in the atmospheric conditions. Beforea cold front moves in, the earth at a location is initially at a uniformtemperature of 10°C. Then the area is subjected to a temperatureof 210°C and high winds that resulted in a convectionheat transfer coefficient of 40 W/m2·K on the earth’s surface fora period of 10 h. Taking the properties of the soil at that locationto be k = 0.9 W/m·K and a = 1.6 * 10-5 m2/s, determinethe soil temperature at distances 0, 10, 20, and 50 cm from theearth’s surface at the end of this 10-h period.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
The soil temperature in the upper layers of the earth
varies with the variations in the atmospheric conditions. Before
a cold front moves in, the earth at a location is initially at a uniform
temperature of 10°C. Then the area is subjected to a temperature
of 210°C and high winds that resulted in a convection
heat transfer coefficient of 40 W/m2·K on the earth’s surface for
a period of 10 h. Taking the properties of the soil at that location
to be k = 0.9 W/m·K and a = 1.6 * 10-5 m2/s, determine
the soil temperature at distances 0, 10, 20, and 50 cm from the
earth’s surface at the end of this 10-h period.
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