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In this section we'll present information that will help in the successful design and implementation of Fluid Power Solutions

 


ALL ABOUT AIR – WHITE PAPER #16, Approximate Cv by Thomas W. Kreher, Applied Pneumatic Controls ©

 LOCAL AND WEATHER AFFECT

       In a Cleveland laboratory or other location, test results may be corrected mathematically to the accepted sea level standard, for documentation, specifications, catalog information, warranty data etc.

    The manufacturing engineer in Detroit, salesman in Seattle, buyer in Burbank may calculate their required flow and select a valve or widget based upon similar formulas that are approximately correct for standard air on an ideal day at sea level.  However even “Standard” may only be an approximation for the “Standard” might have been related to ASME, ISO, Fluid Power, National Aeronautics and others.

     The average barometric pressure and weather in Detroit is 29.26 In Hg,  58 degrees F and 62% relative humidity. Seattle is 29.50 in Hg, 59 Deg. F, and 70% RH. Chicago is 29.27 In Hg, 59 Deg. F and 61% RH.

(From Compressed air and gas data by Ingersoll Rand) The prevalent weather conditions in most US cities do not match so called Standard conditions

A formula for SCFM will produce a close approximation in most locations.

The approximate results from SCFM formulas and calculations are normally close enough to serve our need.

Full instrumentation with empirical tests are required for precise results at any time and place.

FORMULA FALLIBILITY

Professor Phil O. Sophize suggested common formulas for flow and Cv are most accurate in the top 10% of the Delta P range. Many morphed the suggested “10% most accurate range” into a Delta P of 10% in all cases.

Others took that one step further and use 10 PSID for the Delta P for every calculation which below 100 psig is greater than 10%. 10% or more is too wasteful for most applications.  In the interest of better and more efficient pneumatic applications the flow formulas provided below will save you time and reduce mistakes. Additionally the first are based upon a very conservative Delta P of 2 psi. The second formula is based on a more liberal pressure drop of 5 psi. For a greater pressure drop a 10 psi Delta P formula is included.

LIGHTEN YOUR LOAD

  1. Orifice, Qscfm = 14.5 x Dia.2 x (PSIG + 14.7)  To atmosphere, over 15 psig.

  2. Cv = Qscfm / √ [1.907 x (P2 + 14.7)]     When Delta P equals 2 

2a.   Cv = Qscfm / √ [4.768 x (P2 + 14.7)]     When Delta P equals 5

2b.   Cv = Qscfm / √ [9.537 x (P2 + 14.7)]      When Delta P equals 10 

  1. Qscfm (Max) =  .4874 x Cv x (P1+14.7)      SONIC FLOW

See table at right

INLET   AIR FLOW, (SCFM) FOR A Cv OF 1   AIR FLOW
PRESSURE   AT MULTIPLE PRESSURE DROPS   TO ATMOSPHERE
(PSIG)   2 PSID 5 PSID 10 PSID 15 PSID 20 PSID    
10   6.6           12.0
15   7.3           14.5
20   7.9 11.9         16.9
25   8.5 12.9         19.3
30   9.0 13.8 18.2       21.8
35   9.5 14.6 19.5       24.2
40   10.0 15.4 20.6 23.8     26.7
45   10.5 16.2 21.8 25.3     29.1
50   10.9 16.9 22.8 26.7 29.2   31.5
55   11.4 17.6 23.9 28.0 30.8   34.0
60   11.8 18.2 24.8 29.2 32.3   36.4
65   12.2 18.9 25.8 30.4 33.7   38.8
70   12.6 19.5 26.7 31.6 35.1   41.3
75   12.9 20.1 27.6 32.7 36.5   43.7
80   13.3 20.7 28.4 33.8 37.7   46.2
85   13.6 21.3 29.2 34.8 39.0   48.6
90   14.0 21.8 30.1 35.8 40.2   51.0
95   14.3 22.3 30.8 36.8 41.4   53.5
100   14.7 22.9 31.6 37.8 42.5   55.9
105   15.0 23.4 32.3 38.7 43.6   58.3
110   15.3 23.9 33.1 39.6 44.7   60.8
115   15.6 24.4 33.8 40.5 45.7   63.2
120   15.9 24.9 34.5 41.4 46.8   65.7
125   16.2 25.3