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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Analysis of the effect of altitude on the 'air temperature to boil' radiator figure.

Identifier  ExFiles\Box 16\2\  Scan094
Date  24th September 1936
  
+ 7250
ANALYSIS OF EFFECT OF ALTITUDE ON STANDARD "AIR TEMP. TO BOIL" RADIATOR FIGURE.

For given radiator dissipating constant amount of heat,

Let To = air temp. to boil at ground level
" T = " " " " given altitude
" B = boiling point of water at given altitude
" t1 = top water temp. at ground level
" t2 = bottom " " " " } These temps. being corrected to 0°C.
" t = mean " " " "
" to = air temp. at given altitude
" d = ratio of air density at given altitude to air density at sea level

For equal heat dissipation, temp. difference between mean water and air = t/d

.. actual mean temp. = t/d + to

Also temp. drop across rad. = (t1 - t2) / d

.. Top water temp. = { t/d + to } + 1/2 { (t1 - t2) / d }

.. Air temp. to boil = T = B - { (t1 - t2)/2d + t/d + to } + to

= B - { (t1 - t2)/2d + (t1 + t2)/2d } - to + to since t = (t1 + t2)/2

= B - t1/d
  
  


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