The soil temperature in the upper layers of the earth varies with the variations in the at...

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 temperatu re of 10°C. Then the area is subjected to a temperature of -10°C and high winds that resulted in a convection heat transfer coefficient of 40 W/m2 · °C 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 · °C and α = 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 iu-h period.

FIGURE P18-67