
From CH.
5 & 6 of 'The Regenerator and the Stirling Engine' by Dr. Allan J.
Organ, ISBN1860580106 




Instructions
for use: Enter Data Values in the area under 'Enter Values'. The values
to be entered are three of the four values of Power, rpm, pref and Vsw
of the machine you want to create. This is called the Derivative Machine.
You must also enter the values of the gas which you are using as the working
fluid. The values for the three most popular are listed. You may use other
gases by determining the values for the specific gas you want to use and
entering it 

2/1/03
22:14 



Enter 
Results 



Values 
Here 

P 
Power
in Watts 
350.00 
350.00 
Watts 
rpm 
Revolutions
per Minute 
1000 
1000 
rpm 
p_{ref} 
Reference
Pressure (Mpa) 1 ATM=0.101325 Mpa 
1.000 
1.00 
Mpa 
V_{sw} 
Swept
Volume in CC (cm^{3}) 

187.67 
cm^{3} 






Values
of Gas Parameters Hydrogen=1, Helium=2, Nitrogen (Air)=3 
3 


R 
Gas
Constant =(J/kg °K) 4120, 2080, 287 
287 
287 
(J/kg°K) 
g 
Specific
Heat Ratio (Cp/Cv) 1.41 1.66 1.41 
1.41 
1.41 
(Cp/Cv) 
m_{ref } 
Gas
Viscosity (Pas) 8.4E06 1.69E05 1.70E05 
1.69E05 
0.0000169 
Pasec 


Inches 
mm 

Lref, S_{th} 
Reference
Length or Thermodynamic Stroke =(V_{sw)1/3} 
2.2540 
57.253 
mm 
L_{rd} 
Length of Regenerator '=(l_{rd
})*
(S_{thd}) 
0.9278 
24 
mm 
D_{h} 
Diameter of the Regenerator
Housing 
4.517 
114.723 
mm 
A_{ffrd} 
Free Flow Area of Regenerator
= (a_{ffrd})*(S_{thd})^{2 } 
16.022 
10337 
mm^{2} 
d_{w} 
Diameter
of Regenerator Wire = 4*(r_{hrd})* (1 ¶v)/(¶v) 
0.0026 
0.0664 
mm 
m_{w} 
Mesh Number
of Regenerator Wire Mesh =4*(1 ¶v)/(3.14159*d_{w}) 
153 
6.0379 
wires/mm 
n_{r} 
Number of Gauzes in the
Regenerator 'Stack' 
177 
177 
gauzes 





N_{tcr} 
Thermal Capacity Ratio
of the Regenerator N_{TCR}=(T_{ref})(r_{w})(c_{w})/P_{ref} 
1315 
1315 
ratio 
N_{f} 
Fourier Modulous
of Regenerator N_{f=}a/(n_{s})(d_{w})^{2} 
8.657 
8.657 
ratio 





Tn_{xed} 
Number of
Tubes in the Expansion Exchanger =A_{ffxed}/((0.25*3.14159)*(d_{xed})^{2}) 
71 
71 
tubes 
L_{xed} 
Length of Expansion Exchanger
Tubes '=(l_{xed
})*
(S_{thd}) 
5.3610 
136 
mm 
d_{xe} 
Diameter of Expansion Exchanger
Tubes = 4 * r_{hxed } 
0.0972 
2.469 
mm 





Tn_{xcd} 
Number of
Tubes in the Compression Exchanger =A_{ffxcd}/((0.25*3.14159)*(d_{xed})^{2}) 
1622 
1622 
tubes 
L_{xcd} 
Length of Compression Exchanger
Tubes '=(l_{xcd
})*
(S_{thd}) 
1.8340 
47 
mm 
d_{xc} 
Diameter of Compression
Exchanger Tubes = 4 * r_{hxcd } 
0.0320 
0.813 
mm 




