This study predicts gas pulsations in the suction manifold of a multicylinder automotive air-conditioning compressor using a comprehensive simulation model of a reciprocating compressor. On the basis of the first law of thermodynamics and a simplified fourth-order Bernoulli-Euler linear differential beam equation for suction valves, the pressure in a cylinder and resultant pressure pulsation in the suction manifold are predicted. The mass flow rate through the valve is estimated assuming one-dimensional compressible flow through an orifice. All of the equations are then solved together in a sequence to obtain the pressure in the cylinder, valve response, and the mass flow rate. A complicated suction manifold geometry is modeled as a simplified cylindrical annular cavity to study gas pulsations in a multicylinder compressor, but the discharge process has not been considered in this study. Using the calculated mass flow rate, pressure pulsations in a simplified cylindrical annular cavity with an area change to consider “mode splitting” are predicted based on the characteristic cylinder method. It is shown that the simulation code can be a useful tool for predicting gas pulsations in the suction manifold of a multicylinder automotive compressor.

1.
Soedel
,
W.
, 1972, “
Introduction to Computer Simulation of Positive Displacement Type Compressors
,” Purdue University.
2.
Hamilton
,
J. F.
, 1974, “
Extensions of Mathematical Modeling of Positive Displacement Type Compressors
,” Purdue University.
3.
Ng
,
E. H.
,
Tramschek
,
A. B.
, and
MacLaren
,
J. F. T.
, 1980, “
Computer Simulation of a Reciprocating Compressor Using a Real Gas Equation of State
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
33
42
.
4.
Hiller
,
C. C.
, and
Glickman
,
L. R.
, 1976, “
Detailed Modeling and Computer Simulation of Reciprocating Refrigeration Compressor
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
12
17
.
5.
Gafner
,
J.
, and
Gaspersic
,
B.
, 1990, “
Dynamic Modeling of Reciprocating Compressor
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
216
221
.
6.
Kim
,
S.
, and
Min
,
T.
, 1984, “
Computer Simulation for a Small Hermetic Compressor
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
148
153
.
7.
Corberan
,
J.
,
Gonzalvez
,
J.
,
Urchueguia
,
J.
, and
Calas
,
A.
, 2000, “
Modeling of Refrigeration Piston Compressors
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
571
578
.
8.
Xie
,
G.
, 2000, “
Dynamic Simulation Model of Reciprocating Compressor in a Refrigerator
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
129
136
.
9.
Elson
,
J. P.
,
Soedel
,
W.
, and
Cohen
,
R.
, 1976, “A General Method for Simulating the Flow Dependent Nonlinear Vibrations of Compressor Reed Valves,” The Transactions of ASME, Journal of Engineering for Industry, 98, pp. 930–934.
10.
Santos
,
M.
,
Cardona
,
S.
, and
Sanchez-Reyes
,
J.
, 1991, “
A Global Simulation Model for Hermetic Reciprocating Compressors
,”
ASME J. Vibr. Acoust.
0739-3717,
113
, pp.
395
400
.
11.
Da Lio
,
M.
, and
Doria
,
A.
, 1994, “
Numerical Analysis of the Dynamics of Reed Valves Taking Into Accounting the Application to Compressors for Domestic Refrigeration
,”
Proc. of International Compressor Engineering Conference at Purdue
,
Purdue University
,
West Lafayette, IN
, pp.
229
234
.
12.
Lin
,
S. Q.
, and
Bapat
,
C. N.
, 1993, “
Extension of Clearance and Impact Force Estimation Approaches to a Beam-Stop System
,”
J. Sound Vib.
0022-460X,
163
, pp.
423
428
.
13.
Wang
,
C.
, and
Kim
,
J.
, 1996, “
New Analysis Method for a Thin Beam Impacting Against a Stop Based on the Full Continuous Model
,”
J. Sound Vib.
0022-460X,
191
, pp.
809
823
.
14.
Kuttler
,
K. L.
,
Park
,
A.
,
Shillor
,
M.
, and
Zhang
,
W.
, 2001, “
Unilateral Dynamic Contact of Two Beams
,”
Math. Comput. Modell.
0895-7177,
34
, pp.
365
384
.
15.
Fathi
,
A.
, and
Popplewell
,
N.
, 1994, “
Improved Approximation for a Beam Impacting a Stop
,”
J. Sound Vib.
0022-460X,
170
, pp.
365
375
.
16.
Lai
,
P. C. C.
, and
Soedel
,
W.
, 1996, “
Two Dimensional Analysis of Thin, Shell or Plate Like Muffler Elements
,”
J. Sound Vib.
0022-460X,
194
, pp.
137
171
.
17.
Lai
,
P. C. C.
, and
Soedel
,
W.
, 1996, “
Two Dimensional Analysis of Thin, Shell or Plate Like Muffler Elements of Non-Uniform Thickness
,”
J. Sound Vib.
0022-460X,
195
, pp.
445
475
.
18.
Lai
,
P. C. C.
, and
Soedel
,
W.
, 1996, “
Free Gas Pulsations in Acoustic Systems Composed of Two Thin, Curved or Flat, Two-Dimensional Gas Cavities Which Share a Common Open Boundary
,”
J. Sound Vib.
0022-460X,
198
, pp.
225
248
.
19.
Kim
,
J.
, and
Soedel
,
W.
, 1990, “
Development of a General Procedure to Formulate Four Pole Parameters by Modal Expansion and Its Application to Three Dimensional Cavities
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
112
, pp.
452
459
.
20.
Kim
,
J.
, and
Soedel
,
W.
, 1989, “
General Formulation of Four Pole Parameters for Three Dimensional Cavities Utilizing Modal Expansion With Special Attention to The Annular Cylinder
,”
J. Sound Vib.
0022-460X,
129
, pp.
237
254
.
21.
Kim
,
J.
, and
Soedel
,
W.
, 1989, “
Analysis of Gas Pulsations in Multiply Connected Three Dimensional Acoustic Cavities With Special Attention to Natural Mode or Wave Cancellation Effects
,”
J. Sound Vib.
0022-460X,
131
, pp.
103
114
.
22.
Kung
,
C. H.
, and
Singh
,
R.
, 1985, “
Experimental Modal Analysis Technique for Three Dimensional Acoustic Cavities
,”
J. Acoust. Soc. Am.
0001-4966,
77
, pp.
731
738
.
23.
Pan
,
F.
, and
Jones
,
J. D.
1999, “
Gas Path Sound Transmission in Spherically-Shaped Reciprocating Compressors: Theory and Experiment
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
121
, pp.
8
17
.
24.
Snowdon
,
J. C.
, 1971, “
Mechanical Four Pole Parameters and Their Application
,”
J. Sound Vib.
0022-460X,
15
, pp.
307
323
.
25.
Baehr
,
H. D.
, and
Tillner-Roth
,
R.
, 1994,
Thermodynamic Properties of Environmentally Acceptable Refrigerants
,
Springer-Verlag
, Berlin.
26.
Possamai
,
F. C.
,
Ferreira
,
R. T. S.
, and
Prata
,
A. T.
, 1995, “
Pressure Distribution in Lamilar Radial Flow Through Inclined Valve Reeds
,”
ASME Heat Pump and Refrigeration Systems Design
,
ASME
, New York, Vol.
34
, pp.
107
119
.
27.
Deschamps
,
C. J.
,
Prata
,
A. T.
, and
Ferreira
,
R. T. S.
, 1996, “
Turbulent Flow Through Reed Type Valves of Reciprocating Compressors
,” ASME Advanced Energy Systems Division,
36
, pp.
151
161
.
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