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Frost Protection - UTL Repository

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F R O S T P R O T E C T I O N : F U N D A M E N T A L S , P R A C T I C E A N D E C O N O M I C S<br />

[<br />

FIGURE 3.10<br />

Saturation vapour pressure over water (upper curve) and over ice (lower curve)<br />

versus temperature<br />

V A P O R P R E S S U R E ( k P a )<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

water<br />

ice<br />

e d<br />

e w<br />

e f<br />

Td<br />

ei<br />

Ti<br />

0.20<br />

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0<br />

T E M P E R A T U R E ( ° C )<br />

Figure 3.11 shows the corresponding air, wet-bulb, frost-bulb, ice point and<br />

dew-point temperatures at sea level for a range of dew-point temperature with<br />

an air temperature T a = 0 °C. If the dew-point is T d = -6 °C at T a = 0°C,<br />

both the wet-bulb and frost-bulb temperature are near -2 °C. In fact, there is<br />

little difference between the wet bulb and frost bulb temperatures for a given<br />

dew-point temperature in the range of temperature important for frost<br />

protection. However, the ice point and dew-point temperatures deviate as the<br />

water vapour content of the air (i.e. the dew-point) decreases. Because there is<br />

little difference between the wet-bulb and frost-bulb temperature, there is little<br />

need to differentiate between the two parameters. Therefore, only the wet bulb<br />

temperature will be used in further discussions.<br />

The total heat content of the air is important for frost protection because<br />

damage is less likely when the air has higher total heat content. During a frost<br />

night, the temperature falls as sensible heat content of the air decreases. Sensible<br />

heat content (and temperature) decreases within the volume of air from the soil<br />

surface to the top of the inversion because the sum of (1) sensible heat transfer<br />

downward from the air aloft, (2) soil heat flux upward to the soil surface and<br />

(3) transfer of heat stored within the vegetation to the plant surfaces is insufficient<br />

to replace the sensible heat content losses resulting from net radiation energy losses.<br />

Tw<br />

Tf<br />

ea<br />

T<br />

e<br />

52

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