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Power Factor (Intensification)
For air or hydraulically driven pumps, the power or intensification factor is
determined by the drive piston(s) area divided by the fluid piston(s) area.
This basically determines the output pressure and cycle rate capability of the
pumping unit. The formula for calculating power factor is as follows:
|
POWER FACTOR =
|
Area of drive cylinder(s)
|
|
Area of fluid piston(s)
|
Example:
A Posiratio machine with a 4" diameter air cylinder drive with a 30 mm diameter
"A" pump and a 20 mm diameter "B" pump.
Area of 4" air cylinder = 81.07 cm2
Area of 30 mm piston = 7.07 cm2
Area of 20 mm piston = 3.14 cm22
POWER FACTOR =
POWER FACTOR = 7.9:1
If 100 psi air pressure is applied to the 4" air cylinder, 790 psi fluid outlet
pressure can be obtained in a stalled condition. If 50 psi air pressure is
applied, only 395 psi fluid outlet pressure can be obtained.
The following is to be used as a guide only as the actual flow rate is
dependent on a wide variety of factors including hose size, mixer size, fitting
restrictions, injection block or gun employed, thixotropic characteristic of
the material, heat, and any other factor that affects flow. Generally, the
higher the power factor, the lower the volume output.
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Power Factor "Rule of Thumb" Chart
| Viscosity in Centipoise |
Approximate Power Factor Needed |
| 50 to 500 |
1:1 |
| 500 to 1000 |
2:1 |
| 1,000 to 3,000 |
3:1 |
| 3,000 to 6,000 |
4:1 |
| 6,000 to 9,000 |
5:1 |
| 9,000 to 15,000 |
6:1 |
| 15,000 to 20,000 |
7:1 |
| 20,000 to 30,000 |
8:1 |
| 30,000 to 40,000 |
9:1 |
| 40,000 to 60,000 |
10:1 |
| 60,000 to 75,000 |
11:1 |
| 75,000 to 90,000 |
12:1 |
| 90,000 to 120,000 |
13:1 |
| 120,000 to 200,000 |
14:1 |
| 200,000 to 1,000,000 |
15:1 to 20:1 |
| over 1,000,000 |
Consult Factory |
Air Cylinder Consumption
This chart is used for calculating the air consumption of a cylinder(s) on a
reciprocating application to determine the total volume of air required to meet
a given cycle rate. The values shown are for 100 psi which is the maximum
pressure we recommend for operating the cylinder(s).
| CYLINDER |
|
AREA OF CYLINDER |
|
SCFM |
| SIZE (I.D.) |
|
(sq. in) |
|
(sq. cm) |
|
(per 1" stroke at 100 psi) |
|
| 1"
|
|
0.785 |
|
5.07 |
|
0.0035 |
| 2" |
|
3.142 |
|
20.27 |
|
0.0142 |
| 2 1/2" |
|
4.909 |
|
31.67 |
|
0.0223 |
| 3" |
|
7.069 |
|
45.61 |
|
0.0319 |
| 4" |
|
12.566 |
|
81.08 |
|
0.0566 |
| 6" |
|
28.274 |
|
182.43 |
|
0.128 |
| 8" |
|
50.266 |
|
324.31 |
|
0.222 |
| 10" |
|
78.54 |
|
506.74 |
|
0.354 |
| 12" |
|
113.098 |
|
729.71 |
|
0.512 |
Example:
Total air consumption of a 6" diameter air cylinder with a 6" stroke operating
at 10 cycles per minute (20 strokes per minute):
6" Stroke x 0. 128 SCFM/I" Stroke = 0.768 SUM
0.768 SCFM/Stroke x 20 Strokes/Min = 15.36 SCFM
Note:
To calculate total cylinder air consumption, both the forward and retract
length of stroke need to be considered. Thus a 6" stroke air cylinder can
travel a full 6" in each direction for a total of 12" of travel using 1.536
SCFM of air per cycle.
To determine actual power factor requirements for a specific flow rate, tests
can be run at Liquid Control's Application Laboratory with the specific
material to be dispensed.
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Ratio of "A" to "B"
The mix ratio of a two (2) component thermoset resin system is generally given
as either volume ratio or weight ratio. Since all meter, mix and dispense
machines use volumetric displacement, it is important to understand the
difference between these and how to convert from one to the other. The
following formula can be used when the density or specific gravity of both the
"A" and "B" components are known and only one of the ratios:
Example:
Weight Ratio
Volume Ratio
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=
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Specific Gravity "A"
Specific Gravity "B"
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A material has a weight ratio of 10: 1, the "A" material has a specific gravity
of 1.20 and the "B" material has a specific gravity of 1.00. To calculate
volume ratio:
10:1
Volume Ratio
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=
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1.20
1.00
|
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Volume Ratio
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=
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10
1.20
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Volume Ratio
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=
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8.33:1
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Typically the wider the ratio of "A" to ''B'' (e.g. 20: 1, 50: 1, I 00: 1), the
more critical the design of the meter, mix and dispense machine. Not only do
the metering pumps require more precise volumetric displacement but the
selection of the injection block or dispense gun and mixer is equally as
important. Closer mix ratios (eg. P 1, 2-1, 5- 1) will normally result in the
simplest machine design.
Posiload Pump Sizing for Specific Ratios
To calculate the size of either the "A" or "B" pump for a fixed-ratio meter,
mix and dispense machine, when the volume ratio is known along with one of the
pump sizes, the following formulas can be used:
or
Example:
1) What size catalyst pump (B) is required for a volume ratio of 10: 1 with a
40 mm resin pump (A)?
2) What size resin pump (A) is required for a volume ratio of 2.5:1 with a 15
mm catalyst pump (13)?
Shot Capability of Standard Posiload® Pumps
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Pump Size*
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Maximum Shot (100%)
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Minimum Shot (15%)
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10 mm
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5.98 cc's
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0.90 cc's
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15 mm
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13.47 cc's
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2.02 cc's
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20 mm
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23.94 cc's
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3.59 cc's
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25 mm
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37.40 cc's
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5.61 cc's
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30 mm
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53.86 cc's
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8.08 cc's
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35 mm
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73.31 cc's
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11.00 cc's
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40 mm
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95.75 cc's
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14.36 cc's
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45 mm
|
121.19 cc's
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18.18 cc's
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50 mm
|
149.62 cc's
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22.44 cc's
|
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55 mm
|
181.04 cc's
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27.16 cc's
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60 mm
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215.45 cc's
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32.32 cc's
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70 mm
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293.25 cc's
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43.99 cc's
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80 mm
|
383.02 cc's
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57.45 cc's
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90 mm
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484.76 cc's
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72.71 cc's
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100 mm
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598.47 cc's
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89.77 cc's
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Special size pumps from 10 mm through 100 mm can be machined for specific shot
requirements.

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Volumetric Content and Ratios of Standard Material Hoses
Includes nylon high-pressure and teflon-lined, stainless steel braided hose.
The volumetric content of each size hose per lineal foot is provided in columns
3 and 4 in cubic inches (in3) and cubic centimeters (cc's). To determine the
volumetric ratio of two equal length hoses, first locate one hose size in row I
and the other hose size in column 1. At the point on the chart where these two
hose sizes intersect, the volumetric ratio is given. (e.g. If "A" hose is 0.75"
I.D. and the "B" hose is 0.375" I.D., the volumetric ratio between the two is
4.00:1 if they are of equal length.)
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HOSE
SIZE
|
TYPE
OF
HOSE
|
VOLUMETRIC
CONTENT
|
0.125"
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0.187"
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0.250"
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0.312"
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0.375"
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0.406"
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0.500"
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0.750"
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0.875"
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1.000"
|
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in3/ft
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cc's/ft
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0.125" (3/16)
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Teflon
/SS |
0.147
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2.414
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1
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2.24
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4.00
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6.23
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9.00
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10.55
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16.00
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36.00
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49.00
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64.00
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Nylon
or
Teflon
/SS |
0.330
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5.402
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-
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1
|
1.79
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2.78
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4.02
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4.71
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7.15
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16.08
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21.89
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28.6
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0.250" (1/4)
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Nylon |
0.589
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9.655
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-
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-
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1
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1.56
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2.25
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2.64
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4.00
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9.00
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12.25
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16.00
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0.312" (3/8)
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Teflon
/SS |
0.917
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15.037
|
-
|
-
|
-
|
1
|
1.44
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1.69
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2.57
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5.78
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7.87
|
10.27
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0.375" (3/8)
|
Nylon |
1.325
|
21.723
|
-
|
-
|
-
|
-
|
1
|
1.17
|
1.78
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4.00
|
5.44
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7.11
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0.406" (1/2)
|
Teflon
/SS |
1.554
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25.463
|
-
|
-
|
-
|
-
|
-
|
1
|
1.52
|
3.41
|
4.64
|
6.07
|
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0.500" (1/2)
|
Nylon |
2.356
|
38.618
|
-
|
-
|
-
|
-
|
-
|
-
|
1
|
2.25
|
3.06
|
4.00
|
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0.625" (3/4)
|
Teflon
/SS |
3.682
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60.341
|
-
|
-
|
-
|
-
|
-
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-
|
-
|
1.44
|
1.96
|
2.56
|
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0.750" (3/4)
|
Nylon |
5.301
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86.891
|
-
|
-
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-
|
-
|
-
|
-
|
-
|
1
|
1.36
|
1.78
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0.875" (1)
|
Teflon
/SS |
7.216
|
118.268
|
-
|
-
|
-
|
-
|
-
|
-
|
-
|
-
|
1
|
1.31
|
|
1.000"
|
Nylon |
9.425
|
154.472
|
-
|
-
|
-
|
-
|
-
|
-
|
-
|
-
|
-
|
1
|
Note: The actual I.D.s of most Teflon/SS hoses is smaller than the hose
designation. (e.g. 1/2" Teflon/SS hose has an I.D. of 0.406".)
Generally, when designing a two-component meter, mix and dispense system, the
volumetric ratios of the hoses should be close to the actual ratio of the resin
system being dispensed assuming the "A" and "B" materials are of equal or close
viscosity When there are wide differences in viscosity of the two materials,
then flow rate and pressure drop have to be taken into consideration and the
hoses sized accordingly.
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