General Motors stirling 4L23 engine test results.
The engine of the future project
The following is a table with the test results of the GPU-3 stirling Engine, built by general motors.
I found it on:
http://www.researchgate.net/profile/Hoseyn_Sayyaadi/publication/263891543_Simple-II_A_new_numerical_thermal_model_for_predicting_thermal_performance_of_Stirling_engines/links/5448d4bb0cf2d62c3052cb13.pdf
PAGE 9, TABLE 5
The information can be used to calibrate stirling cycle engine design programs.
You can select the part between the ======= lines, and past it in a simple wordprocessor
like Notepad or Wordpad and save it with the name STGMGPU3.TXT
You can use this file as input file in the Stirling Engine Design Program you find on:
stirlingmartini.html
For the html-javascript version of the Isothermal second order calculation Program (Written by William R. Martini in Fortran) Click here
The program is in the source code.
Also the ADIABATIC SECOND ORDER DESIGN PROGRAM written in Fortran by P.A. Rios is published in a quickbasic version on this site.
Click here for HOME
'==================================================================
"general motors GPU-3 Stirling Engine test results"
'File name STGMGPU3.TXT
'test results GPU-2
'
'Frequency (Hz) 
'      Mean effective pressure (MPa)
'            Experimental efficiency %
"START"
3, HZ????????,   PS,     D  
16.67, 2.76, 20.50
25.00, 2.76, 20.70
33.33, 2.76, 18.00
41.67, 2.76, 15.20
50.00, 2.76, 11.80
58.33, 2.76,  5.40
25.00, 4.14,  8.28
33.33, 4.14, 23.90
41.67, 4.14, 21.30
50.00, 4.14, 18.20
58.33, 4.14, 12.00
41.67, 5.52, 22.50
50.00, 5.52, 18.80
58.33, 5.52, 14.20
50.00, 6.90, 18.70
58.33, 6.90, 14.20
end
'==================================================================
'==================================================================
"general motors GPU-3 stirling Engine test results"
'File name STGPU3.TXT
'Hydrogen Gas, Cooling Water Inlet Temperature= 15 degree C (59 F)
'"Temperature inside tubes, deg. F."
'    "engine speed, rpm"
'         "average gas pressure, psia"
'             "brake power, BHP"
"start"
4,TF,  SP,  PS,    NP
1300,1000, 400, 1.52
1300,1500, 400, 2.00
1300,2000, 400, 2.62
1300,2500, 400, 3.35
1300,3000, 400, 3.50
1300,3500, 400, 3.62

1200,1000, 400, 1.20
1200,1500, 400, 1.80
1200,2000, 400, 2.48
1200,2500, 400, 3.00
1200,3000, 400, 3.25
1200,3500, 400, 3.27

1100,1000, 400, 1.15
1100,1500, 400, 1.82
1100,2000, 400, 2.30
1100,2500, 400, 2.77
1100,3000, 400, 2.85
1100,3500, 400, 2.80
end

'Helium Gas, Cooling Water Inlet Temperature= 13 degree C (56 F)
'"Temperature inside tubes, deg. F."
'    "engine speed, rpm"
'         "average gas pressure, psia"
'             "brake power, BHP"
"start"
4,TF,  SP,  PS,    NP
1300,1000, 400, 1.18
1300,1500, 400, 1.62
1300,2000, 400, 1.88
1300,2500, 400, 2.05
1300,3000, 400, 1.90
1300,3500, 400, 1.20
1300,1000, 200, 0.34
1300,1500, 200, 0.35
1300,2000, 200, 0.50
1300,2500, 200, 0.20
1300,2000, 600, 3.15
1300,2500, 600, 3.55
1300,3000, 600, 3.42
1300,3500, 600, 2.70
1300,3000, 800, 5.05
1300,3500, 800, 4.55
end

'Helium Gas, Cooling Water Inlet Temperature= 13 degree C (56 F)
'"Temperature inside tubes, deg. F."
'    "engine speed, rpm"
'         "average gas pressure, psia"
'              "brake power, BHP"
"start"
4,TF,  SP,  PS,    NP
1100,1000, 400, 0.93
1100,1500, 400, 1.25 
1100,2000, 400, 1.35
1100,2500, 400, 1.26
1100,3000, 400, 0.94
1100,3500, 400, 0.36
1100,2000, 800, 3.47
1100,2500, 800, 3.97
1100,3000, 800, 3.66
1100,3500, 800, 2.42
end


'Helium Gas, Cooling Water Inlet Temperature= 13 degree C (56 F)
'"Temperature inside tubes, deg. F."
'    "engine speed, rpm"
'         "average gas pressure, psia"
'              "brake power, BHP"
'                     Heat input HP
'                            Brake Efficiency 
"start"
6,TF,  SP,  PS,  NP,    QN,   D
1200,1000, 400, 1.1,   5.3,  20.5
1200,1500, 400, 1.50,  7.25, 20.7
1200,2000, 400, 1.62,  8.9,  18.0
1200,2500, 400, 1.62, 10.25, 15.2
1200,3000, 400, 1.40, 12.00, 11.8
1200,3500, 400, 0.75, 13.25,  5.4
1200,1500, 600, 2.40,  9.70, 24.8  
1200,2000, 600, 2.95, 12.30, 23.9
1200,2500, 600, 3.25, 15.20, 21.3
1200,3000, 600, 3.15, 17.20, 18.2
1200,3500, 600, 2.32, 19.20, 12.0
1200,2500, 800, 4.40, 19.70, 22.5
1200,3000, 800, 4.40, 23.40, 18.8
1200,3500, 800, 3.70, 25.72, 14.2
1200,3000,1000, 5.27, 28.0 , 18.7
1200,3500,1000, 4.52, 31.05, 14.2
end
'===============================================================
table 3.3 Measured performance of the GPU-3 Engine under test at NASA-Lewis

==============================================================================

'Measurements________________________________
'Working Fluid
'    Engine speed, Hz
'    |      Cooling water flow, g/sec
'    |      |     Cooling water delta T, C
'    |      |     |     Cooling water inlet temperature, K
'    |      |     |     |     Gas pressure, MPa
'    |      |     |     |     |      Brake Power, watts
'    |      |     |     |     |      |      Average temperature Heater tube, K
'    |      |     |     |     |      |      |       Expansion space wall temperature
'    |      |     |     |     |      |      |       |     Gas temp between heater and expansion space     
'    |      |     |     |     |      |      |       |     |      Gas temperature midway thru heater
'    |      |     |     |     |      |      |       |     |      |      Gas temperature between cooler and compression space
'    |      |     |     |     |      |      |       |     |      |      |      Brake efficiency
H2, 24.9,  136,  5.8, 281.1, 2.179, 1036,  991.7, 876.1, 891.7, 947.8, 320.6, 23.9  
H2, 33.12, 134,  7.0, 281.1, 2.179, 1291,  997.8, 888.9, 897.8, 952.2, 325.6, 24.7
H2, 41.75, 143,  8.2, 281.1, 2.165, 1560, 1008.9, 905.6, 917.8, 961.7, 131.1, 24.1
H2, 50.13, 135,  9.6, 281.1, 2.213, 1715, 1020,   920,   931.6, 970,   336.7, 24.3
He, 50.0,  134, 19.3, 281.6, 4.274, 2514, 1058.3, 929.4, 950.6, 971.7, 378.3, 19.8
He, 23.50, 132,  9.6, 281.1, 4.260, 1853, 1023.9, 886.1, 912.8, 961.1, 348.9, 25.9
He, 49.97, 126, 11.9, 280.0, 2.820, 1408, 1026.7, 911.1, 917.3, 965.0, 360.0, 18.3
He, 24.95, 141,  5.9, 280.0, 2.868, 1208, 1007.8, 870.6, 887.8, 950.6, 335.6, 25.7

=================================================================================

Source ???? Is this GPU-3 test data??????????

'H2,704 Celsius,15 Celsius
'pressure MPa
'  ,speed RPM
'        , Brake Power KW
'              , Heat Input KW
'                    , Brake Eff. %
start,5,
1.38,1000, 0.39, 2.46,15.6
1.38,1500, 0.58, 3.06,17.5
1.38,2000, 0.71, 3.69,18.1
1.38,2500, 0.78, 3.97,19.1
1.38,3000, 0.82, 4.51,17.2
1.38,3500, 0.56, 4.83,11.0
4.14,3500, 4.47,16.18,27

'H2,704 Celsius,15 Celsius
'pressure MPa
'  ,speed RPM
'        , Ind.Power KW
'             , Brake Power KW
'                  , Heat Input KW
'                        , Brake Eff. %
start,6,
2.76,1000,1.57,1.13, 4.47,24.4
2.76,1500,2.05,1.49, 5.64,25.7
2.76,2000,2.57,1.95, 7.08,27.2
2.76,2500,3.13,2.39, 8.58,27.0
2.76,3000,3.47,2.61, 9.88,25.7
2.76,3500,3.65,2.70,11.00,23.9
end

H2,15 celsius,2.76 MPa
Heater temp C, Speed RPM, Brake Power KW
704,1000,1.13
704,1500,1.49
704,2000,1.95
704,2500,2.35
704,3000,2.61
704,3500,2.70
649,1000,0.89
649,1500,1.34
649,2000,1.85
649,2500,2.24
649,3000,2.42
649,3500,2.44
593,1000,0,86
593,1500,1.36
593,2000,1.72
593,2500,2.07
593,3000,2.13
593,2500,2.09

He,704C,13C
Pressure Mpa,Speed RPM,Ind Power KW, Brake Power
2.76,1000,1.34,0.88
2.76,1500,1.83,1.21
2.76,2000,2.15,1.40
2.76,2500,2.42,1.53
2.76,3000,2.50,1.42
2.76,3500,2.10,0.89
1.38,1000,,0.25
1.38,1500,,0.26
1.38,2000,,0.37
1.38,2500,,0.15
4.14,2000,,2.35
4.14,2500,,2.65
4.14,3000,,2.55
4.14,3500,,2.01
5.52,3000,,3.77
5.52,3500,,3.39

He,395C,13C
Press. MPa,Speed RPM,Brake Power
2.76,1000,0,69
2.76,1500,0.93
2.76,2000,1.01
2.76,2500,0.94
2.76,3000,0.70
2.76,3500,0.27
5.52,2000,2.59
5.52,2500,2.96
5.52,3000,2.73
5.52,3500,1.80

He,649C,13C
Pressure MPa,Speed RPM,Brake Power KW,Heat Input KW,Brake Eff %
2.76,1000,0.82,3.95,20.5
2.76,1500,1.12,5.41,20.7
2.76,2000,1.21,6.64,18.0
2.76,2500,1.21,7.64,15.2
2.76,3000,1.04,8.95,11.8
2.76,3500,0.56,9.88,5.4
4.14,1500,1.79,7.23,24.8
4.14,2000,2.20,9.17,23.9
4.14,2500,2.42,11.30,21.3
4.14,3000,2.35,12.83,18.2
4.14,3500,1.73,14.32,12.0
5.52,2500,3.28,14.69,22.5
5.52,3000,3.28,17.45,18.8
5.52,3500,2.76,19.18,14.2
6.9,3000,3.93,20.88,18.7
6.9,3500,3.37,23.15,14.2


Specifications GPU-3

page 15 (19 in pdf) in Matini manual
6.99 (2.751) Cylinder bore at liner, cm (inch)
7.01 (2.751) Cylinder bore above liner, cm (inch)

Cooler
4.61 (1.813) Tube length, cm (inch)
3.55 (1.399) Heat transfer length, cm (inch)
0.108 (0.0425) Tube inside diameter, cm (inch)
0.159 (0.0625) Tube outside diameter, cm (inch)
312            Number of tubes per cylinder
 39            Number of tubes per regenerator

Heater
24.53 (9.658) Mean tube length, cm (inch)
15.53 (6.12)  Heat transfer length, cm (inch)
11.64 (4.583) Cylinder tube, cm (inch)
12.89 (5.075) Regenerator tube, cm (inch)
0.302 (0.119) Tube inside diameter, cm (inch)
0.483 (0.19)  Tube outside diameter, cm (inch)
40            Number of tubes per cylinder
 5            Number of tubes per regenerator

Cold end connecting ducts
1.59 (0.625)  length, cm (inch)
0.597 (0.235) Duct inside diameter, cm (inch)
 8            Number of ducts per cylinder
0.279 (0.0170) Cooler end cap, cm^3 (inch^3)

Regenerators
2.26 (0.89)  Length (inside), cm (inch)
2.26 (0.89)  Diameter (inside), cm (inch)
8            Number per cylinder
Material     Stainless steel wire cloth
79*79 (200*200) Number of wires, per cm (per inch)
0.004 (0.0016)  Wire diameter, cm (inch)
308          Number of layers
30.3         Filler factor, percent
5            Angle of rotation between adjacent screens, degree

Drive
4.60 (1.810) Connecting rod length, cm (inch)
1.38 (0.543) Crank - radius, cm (inch)
2.08 (0.820) Eccentricity, cm (inch)

Miscellaneous
0.952 (0.375) Displacer rod diameter, cm (inch)
2.22  (0.875) Pistom rod diameter, cm (inch)
6.96  (2.740) Displacer diameter, cm (inch)
0.159 (0.0625) Displacer wall thickness, cm (inch)
3.12  (1.23)  Displacer stroke, cm (inch)
0.163 (0.064) Expansion space clearance, cm (inch)
0.30  (0.012) Compression space clearance, cm (inch)
521   (31.78) Buffer space maximum volume, cm^3 (inch^3)
233.5 (14.25) Total working space minimum volume, cm^3 (inch^3)

Volumes
 cm^3 (inch^3) Expansion space clearance volume
  3.34 (0.204) Displacer clearance (around displacer)
  7.41 (0.452) Clearance volume above displacer
  1.74 (0.106) Volume from end of heater tubes into cylinder
+ ------------
 12.5  (0.762) Total

               Heater dead volume
  9.68 (0.591) Insulated portion of heater tubes next to expansion space
 47.46 (2.896) Heated portion of heater tubes
 13.29 (0.811) Insulated portion of heater tubes next to regenerator
  2.74 (0.167) Additional volume in four heater tubes used for instrumentation
  7.67 (0.468) Volume in header
+ ------------
 80.8  (4.933) Total

               Regenerator dead volume
  7.36 (0.449) Enterance volume into regenerators
 53.4  (3.258) Volume within matrix and retaining disks
  2.59 (0.158) Volume between regenerators and coolers
  2.18 (0.133) Volume in snap ring grooves at end of coolers
+ ------------ 
 65.5  (3.998) Total

               Cooler dead volume
 13.5  (0.801)  Volume in cooler tubes

               Compression space dead volume
  3.92 (0.239) Exit volume from cooler
  2.77 (0.169) Volume in cooler end caps
  3.56 (0.217) Volume in cold end connecting ducts
  7.29 (0.445) Power piston clearance (around power piston)
  1.14 (0.070) Clearance volume between displacer and power piston
  2.33 (0.142) Volume at connections to cooler end caps
  0.06 (0.004) Volume at piston "notches"
  0.11 (0.007) Volume around rod in bottom of displacer
+ ------------
 21.18 (1.293) Total

+ ------------
193.15 (11.787) Total dead volume
 39.18 ( 2.391) Minimum live volume
+ ------------- 
232.3  (14.178) Calculated minimum total working space volume

233.5  (14.25)  Measured value of minimum total working space volume
                (by volume displacement)

  2.5   (0.15) Change in working space volume due to minor engine modification
+ ------------
236.0  (14.40) 


Table 3
Design specifications of the GPU-3 Stirling engine [26].
--------------------------------------------------------
General information
Working fluid Helium 
Piston stroke                 31.2 mm 
Internal diameter of cylinder 69.9 mm 
Frequency                     41.7 Hz 
Mean pressure                  4.13 MPa
Phase angle                   90 
Heater temperature           977 K 
Cooler temperature           288 K
Number of Cylinder             1

Heater 
Average tube length          245.3 mm 
Tube external diameter         4.83 mm 
Number of tubes               40
Tube internal diameter         3.02 mm
Tube length (cylinder side)  116.4 mm
Tube length(regenerator side)128.9 mm 

Regenerator 
Regenerator internal diameter 22.6 mm
Regenerator length            22.6 mm
Number of regenerator          8
Material Stainless steel
Diameter of regenerator tube   0.04 mm
Porosity 0.697

Cooler 
Average of tube length       46.1 mm
Internal diameter of tube     1.09 mm
External diameter of tube     1.59 mm
Number of tubes             312

Volume 
Swept Vol. (expansion/compression)    120.88/113.14 mm3
Clearance Vol. (expansion/compression) 30.52/ 28.68 mm3
Dead Vol. (heater/cooler/regenerator)  70.88/ 13.8/50.55 mm3