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Freezing Temperature in the Soil. The average temperature of the soil to a considerable depth is approximately 277.6 K (40°F) during a winter day. If the outside air temperature suddenly drops to 255.4 K (0°F) and stays there, how long will it take for a pipe 3.05 m (10 ft) below the surface to reach 273.2 K (32 °F)? The convective coefficient is h 8.52 W/m2. K (1.5 btu/h ft °F). The soil's physical properties can be taken as 5.16 x 107 m/s (0.02 ft'/h) for the thermal diffusivity and 1.384 W/m K (0.8 btu/h ft. °F) for the thermal conductivity. (Note: The solution is trial and error since the unknown time appears twice in the graph for a semi-infinite solid.)

Freezing Temperature in the Soil. The average temperature of the soil to a considerable depth is approximately 277.6 K (40°F) during a winter day. If the outside air temperature suddenly drops to 255.4 K (0°F) and stays there, how long will it take for a pipe 3.05 m (10 ft) below the surface to reach 273.2 K (32 °F)? The convective coefficient is h 8.52 W/m2. K (1.5 btu/h ft °F). The soil's physical properties can be taken as 5.16 x 107 m/s (0.02 ft'/h) for the thermal diffusivity and 1.384 W/m K (0.8 btu/h ft. °F) for the thermal conductivity. (Note: The solution is trial and error since the unknown time appears twice in the graph for a semi-infinite solid.)

Introduction to Chemical Engineering Thermodynamics
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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Freezing Temperature in the Soil. The average temperature of the soil to a considerable depth is approximately 277.6 K (40°F) during a winter day. If the outside air temperature suddenly drops to 255.4 K (0°F) and stays there, how long will it take for a pipe 3.05 m (10 ft) below the surface to reach 273.2 K (32 °F)? The convective coefficient is h 8.52 W/m2. K (1.5 btu/h ft °F). The soil's physical properties can be taken as 5.16 x 107 m/s (0.02 ft'/h) for the thermal diffusivity and 1.384 W/m K (0.8 btu/h ft. °F) for the thermal conductivity. (Note: The solution is trial and error since the unknown time appears twice in the graph for a semi-infinite solid.)

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