PPRuNe Forums - View Single Post - Formula for calculating the cloudbase from the Temp and Dewpt
Old 3rd Jul 2007, 21:56
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SIUYA
 
Join Date: Nov 1998
Location: Planet Earth
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Stally............

I think that's right.

From what I can remember (and I gotta admit it's not much these days), you can also work out cloud base from LCL, but it's a lot more complicated, and the rule of thumb olderairhead quoted works OK. I dug out some of my old met notes, and here's the comparison between the two methods:

Assuming the following conditions:

Surface pressure (hPa) = 1013
Surface T (STc) = 15
Surface Dewpoint T (SDc) = 12

ESTIMATED CLOUD BASE (ft AGL)
(STc - SDc) *400 = 1,200 ft AGL

Now, if you cross-reference this ‘rule of thumb’ to the calculation for Lifted Condensation Level (LCL), you come up with:

LIFTED CONDENSATION LEVEL
LCL ft AGL = 1,200 ft

Because:

PT (LCL Temp in C) = 12

And:

LCLhPa = 973 hPa

From the following formulas:

Lifted Condensation Level Temp (PT) = ((1/(1/((SDc+273.16) 56)+LOG((STc+273.16)/(SDc+273.16))/800))+56)-273.16

Lifted Condensation Level hPa = ((Surface Pressure*1000)*(((PT+273.16)/(STc+273.16))^(3.5)))/1000

LCL ft AGL = (Surface Pressure - LCL hPa)*30

At least, I think that's the way it's done
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