Pressure and Volume Test Results from Roots Blower.
The Roots Blower that I made has a pair of 3-lobed rotors 44mm in dia and 27.8 mm thick. The p.d. and the C to C distance is 29mm. The inlet and outlet ports ar 20mm x 16mm. Each lobe has 3 "empty spaces" of about 5.9cc. Each revolution pumps 6 empty spaces from the inlet port to the outlet port, so the pump through-put at 100% efficiency could be 35.4 cc/rev . As a side note, because the Roots is symmetrical inside, if the direction of rotation of the rotors is reversed, the in and out directions are swapped.
Because the 2-stroke diesel that I have in mind is about 56.4, even if the Roots operated at 100% eff, the rotors would need to run at 1.6 to 1 (60% overdrive) to keep up with the piston movement. 100% eff, no way!
Here are the test results fro the various rotor speeds:
1,040 rpm
Maximum developed pressure (with outlet blocked)(in inches of water column):
7.12" W.C.
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.182" hole:
2.37" W.C.
19,820 cc/min
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.375" hole:
0.22" W.C.
25,770 cc/min
Theoretical swept volume of the Roots blower at 1040 rpm (at 35.4 cc/ blower rev):
36,820 cc/min, max theoretical
1,510 rpm
Maximum developed pressure (with outlet blocked)(in inches of water column):
12.75" W.C.
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.182" hole:
4.63" W.C.
27,690 cc/min
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.375" hole:
.62" W.C.
42,760 cc/min
Theoretical swept volume of the Roots blower at 1,510 rpm (at 35.4 cc/ blower rev):
53,454 cc/min, max theoretical
2,150 rpm
Maximum developed pressure (with outlet blocked)(in inches of water column):
21.75" W.C.
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.182" hole:
8.25" W.C.
37,090 cc/min
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.375" hole:
1.25" W.C.
60,880 cc/min
Theoretical swept volume of the Roots blower at 2,150 rpm (at 35.4 cc/ blower rev):
76,110 cc/min, max theoretical
How does the scaling to Detroit Diesel 1-71 look?
As I stated previously, this little Roots blower is approximately 1/5 th linear scale to 1-71 Roots.
The swept volume of the DD roots blower, per rev, is equal to about one cylinder's worth of air per engine rev. In other words, 71 cuin of air per rev, or 1,163 cc of scavenge air per revolution, or 1,163,000 cc of air per minute at 1,000 engine rpm. (Note- edit made to this paragraph to correct math errors)
The blower I am working on is supposed to be 33mm bore x 66mm stroke, for 56.4cc/rev. Doing the simple math:
56.4 x 500 rpm = 28,200 cc/min (for 1 cyl fill of air per rev)
56.4 x 1,000 rpm = 56,040 cc/min (for 1 cyl fill of air per rev)
56.4 x 1,500 rpm = 84,600 cc/min (for 1 cyl fill of air per rev)
56.4 x 2,000 rpm = 112,800 cc/min (for 1 cyl fill of air per rev)
Looking at the performance per rev chart, above, it looks like approx 1,510 rotor rpm might be a good starting point for 1,000 rpm engine speed, which would require at least a 1.5 to 1 overdrive for the 2 rotors.
There might be some mistakes in my math or logic, so please let me know if you spot anything.
Lloyd
The Roots Blower that I made has a pair of 3-lobed rotors 44mm in dia and 27.8 mm thick. The p.d. and the C to C distance is 29mm. The inlet and outlet ports ar 20mm x 16mm. Each lobe has 3 "empty spaces" of about 5.9cc. Each revolution pumps 6 empty spaces from the inlet port to the outlet port, so the pump through-put at 100% efficiency could be 35.4 cc/rev . As a side note, because the Roots is symmetrical inside, if the direction of rotation of the rotors is reversed, the in and out directions are swapped.
Because the 2-stroke diesel that I have in mind is about 56.4, even if the Roots operated at 100% eff, the rotors would need to run at 1.6 to 1 (60% overdrive) to keep up with the piston movement. 100% eff, no way!
Here are the test results fro the various rotor speeds:
1,040 rpm
Maximum developed pressure (with outlet blocked)(in inches of water column):
7.12" W.C.
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.182" hole:
2.37" W.C.
19,820 cc/min
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.375" hole:
0.22" W.C.
25,770 cc/min
Theoretical swept volume of the Roots blower at 1040 rpm (at 35.4 cc/ blower rev):
36,820 cc/min, max theoretical
1,510 rpm
Maximum developed pressure (with outlet blocked)(in inches of water column):
12.75" W.C.
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.182" hole:
4.63" W.C.
27,690 cc/min
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.375" hole:
.62" W.C.
42,760 cc/min
Theoretical swept volume of the Roots blower at 1,510 rpm (at 35.4 cc/ blower rev):
53,454 cc/min, max theoretical
2,150 rpm
Maximum developed pressure (with outlet blocked)(in inches of water column):
21.75" W.C.
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.182" hole:
8.25" W.C.
37,090 cc/min
Blower chamber pressure measured, and volume calculated, with air exiting the plenum through a
.375" hole:
1.25" W.C.
60,880 cc/min
Theoretical swept volume of the Roots blower at 2,150 rpm (at 35.4 cc/ blower rev):
76,110 cc/min, max theoretical
How does the scaling to Detroit Diesel 1-71 look?
As I stated previously, this little Roots blower is approximately 1/5 th linear scale to 1-71 Roots.
The swept volume of the DD roots blower, per rev, is equal to about one cylinder's worth of air per engine rev. In other words, 71 cuin of air per rev, or 1,163 cc of scavenge air per revolution, or 1,163,000 cc of air per minute at 1,000 engine rpm. (Note- edit made to this paragraph to correct math errors)
The blower I am working on is supposed to be 33mm bore x 66mm stroke, for 56.4cc/rev. Doing the simple math:
56.4 x 500 rpm = 28,200 cc/min (for 1 cyl fill of air per rev)
56.4 x 1,000 rpm = 56,040 cc/min (for 1 cyl fill of air per rev)
56.4 x 1,500 rpm = 84,600 cc/min (for 1 cyl fill of air per rev)
56.4 x 2,000 rpm = 112,800 cc/min (for 1 cyl fill of air per rev)
Looking at the performance per rev chart, above, it looks like approx 1,510 rotor rpm might be a good starting point for 1,000 rpm engine speed, which would require at least a 1.5 to 1 overdrive for the 2 rotors.
There might be some mistakes in my math or logic, so please let me know if you spot anything.
Lloyd
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