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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).
Calculation of the air resistance coefficient 'K' for the Vanvoonen Streamline Saloon.

Identifier  ExFiles\Box 90\1\  Scan198
Date  29th October 1937
  
To obtain K.{Mr Kilner} for the Vanvoonen Streamline Saloon.

Road Wheel H.P. at 125 M.P.H. = 131 H.P.

Rolling resistance 30 lbs/ton and Weight 1.5 tons.

Total tractive resistance 45 lbs.

H.P. due to constant T.R. at 125 M.P.H. = (45 x 125) / 375 = 15 H.P.

H.P. due to Windage = 131 - 15 = 116 H.P.

lbs. resistance = (116 x 375) / 125 = 348 lbs.

R = Wind Resistance in pounds.
V = Velosity in M.P.H.
A = Area in square feet.
P = Horse Power.
K.{Mr Kilner} = Co-eff. of air resistance in lbs/sq.ft. projected area per (M.P.H.)^2

R = K.AV.^2

K = 348 / (216 x 125^2) = .00103

This should be the value of K obtained by Sr. from the wind tunnel tests to enable him to arrive at a speed of 200 kilos a l'heure.

Our wind tunnel tests with all three methods give us the following relationship, comparing the theoretical K.{Mr Kilner} values with a road test value for a known car, e.g. the 3 1/2 litre Bentley standard saloon at 86 M.P.H. and 92.5 H.P. at the road wheels.

Method | Wind Tunnel K.{Mr Kilner} | Road Test K.{Mr Kilner} | Ratio of Error | Correction Factor | %
--- | --- | --- | --- | --- | ---
With no ground | .001345 | .002040 | .660 | 1.515 | 80
Flat plate | .001480 | .002040 | .725 | 1.380 | 88
Reflexion Method | .001680 | .002040 | .824 | 1.212 | 100

The corrected 'K' for the model would be therefore .00103 x 1.212 = .00125
  
  


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