Wet bulb temperature calculation - AWS810

AWS810 System Description

Document code
M212417EN
Revision
H
ft:locale
en-US
Product
AWS810
Document type
Technical description

Wet bulb temperature is calculated iteratively as follows:

  1. First the initial estimate of wet bulb temperature is calculated with the following formula:

    T w e t = 243.12 log ( P w s ( T d ) 6.112 ) 17.62 log ( P w s ( T d ) 6.112 )
  2. Then the wet bulb temperature is iteratively re-calculated as long as ABS(Phit − Pws(Td)) > 0.01 with the following formula:

    T w e t = T w e t P h i t P w s ( T d ) 2 P d e r

    Phit and Pder are calculated depending on the value of Twet:

    • If Twet > 0:

      P h i t = P w s ( T w e t ) 0.000662 P A ( T A T w e t )
      P d e r = ( P w s ( T w e t + 0.1 ) 0.000662 T A ( T A ( T w e t + 0.1 ) ) P h i t ) 10.0
    • If Twet ≤ 0:

      P h i t = P w i ( P w e t ) 0.000583 P A ( T A T w e t )
      P d e r = ( P w i ( T w e t + 0.1 ) 0.000583 T A ( T A ( T w e t + 0.1 ) ) P h i t ) 10.0
Explanation of wet bulb temperature calculation formulas
Item Explanation
Twet Wet bulb temperature [°C]
Td Dew point temperature [°C]
TA Ambient air temperature [°C]
PA Ambient air pressure [hPa]
Pws(t) Aqueous vapor pressure of water at temperature t [hPa]
Pwi(t) Aqueous vapor pressure of ice at temperature t [hPa]

Pws(t) calculation

P w s ( t ) = exp ( b _ 1 v + b 0 + b 1 v + b 2 v 2 + b 3 v 3 + b 4 log ( v ) ) 0.01
Explanation of Pws(t) calculation formula
Item Explanation
Pws(t) Aqueous vapor pressure of water at temperature t [hPa]
b_1 −5800.2206
b0 1.3914993
b1 −0.048640239
b2 0.000041764768
b3 −0.000000014452093
b4 6.5459673

v Calculation

v = t c 0 c 1 t c 2 t 2 c 3 r 3
Explanation of v calculation formula
Item Explanation
t Temperature [K]
c0 0.4931358
c1 −0.0046094296
c2 0.000013746454
c3 −0.000000012743214

Pwi(t) calculation

P w i ( t ) = exp ( a 0 t + a 1 + a 2 t + a 3 t 2 + a 4 t 3 + a 5 t 4 + a 6 log ( t ) ) 0.01
Explanation of Pwi(t) calculation formula
Item Explanation
Pwi(t) Aqueous vapor pressure of ice at temperature t [hPa]
a0 −5674.5359
a1 6.3925247
a2 −9.677843E − 03
a3 0.00000062215701
a4 2.0747825E − 09
a5 −9.484024E − 13
a6 4.1635019
t Temperature [K]
Inputs for wet bulb temperature calculation
Input Variable
Air temperature (TA) TAAVG1M (average 1‑minute temperature)
Dew point temperature (Td) TDAVG1M (average 1‑minute dew point)
Atmospheric pressure (PA) QFEAVG1M (average 1‑minute QFE pressure)