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Frost Protection - UTL Repository

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MECHANISMS OF ENERGY TRANSFER<br />

through a metal rod if one end is placed in a fire, where the heat is transferred<br />

from molecule to molecule to the other end of the rod. Conduction is an<br />

important transfer mechanism for energy storage in the soil and therefore it is<br />

important for frost protection.<br />

The rate that energy transfers by conduction depends on the capacity for the<br />

material to conduct energy (i.e. thermal conductivity) and the gradient of<br />

temperature with distance into the material. The thermal conductivity of a soil<br />

depends on the type and relative volume occupied by soil constituents. Air is a<br />

poor conductor of heat, so dry soils with more air spaces have lower thermal<br />

conductivities. The thermal conductivity of dry soils varies, but it is<br />

approximately 0.1, 0.25 and 0.3 W m -1 °C -1 for organic, clay and sandy soils. If<br />

the soils are nearly saturated with water, the conductivity is approximately 0.5,<br />

1.6 and 2.4 W m -1 °C -1 for the three general soil types.<br />

There is positive conduction into the soil when the surface is warmer than the<br />

soil below and the conduction is negative when heat conducts upward to a colder<br />

surface. As the sun comes up, the surface is warmer than the soil below, so heat<br />

conducts downward and is stored in the soil. As net radiation decreases in the<br />

afternoon, the surface will cool relative to the soil below and heat is conducted<br />

upwards towards the surface (i.e. negative flux). This negative heat flux continues<br />

during the night as soil heat conducts upwards to replace lost energy at the cooler<br />

surface. On an hourly basis, the soil heat flux density can change considerably<br />

but, on a daily basis, the amount of energy going into the soil is generally about<br />

the same as the quantity leaving the soil. In the longer term, there is a slight<br />

deficit each day during the autumn, so the soil gradually loses energy and cools.<br />

In the spring, there is a slight increase in energy receipt and storage each day, so<br />

the mean daily soil temperature will gradually increase. One should always<br />

remember that soil selection and management has both short-term (i.e. daily) and<br />

long-term (i.e. annual) effects on soil temperature.<br />

Soil flux heat density (G) is estimated as:<br />

G = –K ∂T<br />

s W m -2 Eq. 3.11<br />

∂z<br />

where K s is the thermal conductivity (W m -1 °C -1 ) and the second term on the<br />

right hand side is the change in temperature with depth (°C m -1 ) called the<br />

thermal gradient. It is not possible to directly measure soil heat flux density (G)<br />

at the surface. If a heat flux plate is placed on the surface, then sunlight striking<br />

the plate will cause considerably higher flux density data than the real<br />

conduction through the soil. Burying the flux plate within 0.01 to 0.02 m of the<br />

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