Gas pulsations in a compressor suction manifold radiate noise and reduce the efficiency of the compressor. The objective of this paper is to identify and quantify the effects of modeling assumptions and uncertainties in input parameters on the pulsation model output predictions and to estimate the sensitivity of the model to changes in the input design parameters. A unique method of sensitivity analysis is presented that uses the total pulsation energy in the suction manifold of a compressor as a measure of gas pulsations. This method is used to determine the sensitivity of the gas pulsations in the suction manifold to input design parameters. First, the gas pulsations in the suction manifold are calculated using linear acoustic theory. Second, the effects of varying several different design parameters of the suction manifold on gas pulsations are analyzed, and the three most important parameters are selected. Next, energy due to gas pulsations in the suction manifold due to these design parameter variations is calculated. Suction manifold radius was identified as the most critical parameter, followed by width and depth. The optimized values of manifold radius resulted in an overall reduction of up to 24% in the gas pulsation energy compared to the pulsation energy at the nominal design parameter values in the suction manifold.

References

References
1.
Soedel
,
W.
,
2007
,
Sound and Vibrations of Positive Displacement Compressors
,
1st ed.
,
CRC Press
,
Boca Raton, FL
.10.1201/9781420006445
2.
Prakash
,
R.
, and
Singh
,
R.
,
1974
, “
Mathematical Modeling and Simulation of Refrigerating Compressors
,”
International Compressor Engineering Conference
, Purdue University,
West Lafayette, IN
, July 10–12, pp.
274
285
.
3.
Xie
,
G.
, and
Bansal
,
P. K.
,
2000
, “
Dynamic Simulation Model of a Reciprocating Compressor in a Refrigerator
,”
International Compressor Engineering Conference
, Purdue University,
West Lafayette, IN
, July 25–28, pp.
129
136
.
4.
Todescat
,
M. L.
,
Fagotti
,
F.
,
Prata
,
A. T.
, and
Ferreira
,
R. T. S.
,
1992
, “
Thermal Energy Analysis in Reciprocating Hermetic Compressors
,”
International Compressor Engineering Conference
, Purdue University,
West Lafayette, IN
, July 14–17, pp.
1419
1428
.
5.
Giacomelli
,
E.
,
Falciani
,
F.
,
Volterrani
,
G.
,
Fani
,
R.
, and
Galli
,
L.
,
2006
, “
Simulation of Cylinder Valves for Reciprocating Compressors
,”
ASME
Paper No. ESDA2006-95505. 10.1115/ESDA2006-95505
6.
Castaing-Lasvignottes
,
J.
, and
Gibout
,
S.
,
2010
, “
Dynamic Simulation of Reciprocating Refrigeration Compressors and Experimental Validation
,”
Int. J. Refrig.
,
33
(
2
), pp.
381
389
.10.1016/j.ijrefrig.2009.10.007
7.
Damle
,
R.
,
Rigola
,
J.
,
Pérez-Segarra
,
C. D.
,
Castro
,
J.
, and
Oliva
,
A.
,
2011
, “
Object-Oriented Simulation of Reciprocating Compressors: Numerical Verification and Experimental Comparison
,”
Int. J. Refrig.
,
34
(
8
), pp.
1989
1998
.10.1016/j.ijrefrig.2011.02.006
8.
Pereira
,
E. L. L.
,
Santos
,
C. J.
,
Deschamps
,
C. J.
, and
Kremer
,
R.
,
2012
, “
A Simplified CFD Model for Simulation of the Suction Process of Reciprocating Compressors
,”
International Compressor Engineering Conference
, Purdue University,
West Lafayette, IN
, July 16–19, Paper No. 1276, pp.
1
12
.
9.
Park
,
J. I.
,
2004
, “
Mathematical Modeling and Simulation of a Multi-Cylinder Automotive Compressor
,” Ph.D. thesis, Purdue University, West Lafayette, IN.
10.
Cyklis
,
P.
,
2010
, “
Advanced Techniques for Pressure Pulsations Modeling in Volumetric Compressor Manifolds
,”
ASME J Vib. Acoust.
,
132
(
6
), p.
064501
.10.1115/1.4001847
11.
Singh
,
S.
,
2006
, “
Tonal Noise Attenuation in Ducts by Optimization Adaptive Helmholtz
,” M.S. thesis, The University of Adelaide, Adelaide, Australia.
12.
Snowdon
,
J. C.
,
1971
, “
Mechanical Four-Pole Parameters and Their Application
,”
J. Sound Vib.
,
15
(
3
), pp.
307
323
.10.1016/0022-460X(71)90427-5
13.
Munjal
,
M. L.
,
1987
,
Acoustics of Ducts and Mufflers
,
Wiley
,
Chichester, UK
.
14.
Soedel
,
W.
,
1978
, “
Gas Pulsation in Compressor and Engine Manifolds
,”
Course Notes
, Ray W. Herrick Laboratories, School of Mechanical Engineering,
Purdue University
,
West Lafayette, IN
.
15.
Lai
,
P. C. C.
, and
Soedel
,
W.
,
1996
, “
Gas Pulsation in Thin Curved or Flat Cavities Due to Multiple Mass Flow Sources
,”
International Compressor Engineering Conference
, Purdue University,
West Lafayette, IN
, pp.
799
805
.
16.
Tomovic
,
R.
, and
Vakabratovic
,
M.
,
1972
,
General Sensitivity Theory
,
Elsevier
,
New York
.
17.
Eno
,
L. B. J. G. B.
, and
Rabitiz
,
H.
,
1985
, “
Sensitivity Analysis of Experimental Data
,”
Appl. Math. Comput.
,
16
(
2
), pp.
153
163
.10.1016/0096-3003(85)90005-0
18.
Saltelli
,
A.
,
Chan
,
K.
, and
Scott
,
E. M.
,
2000
,
Sensitivity Analysis
,
Wiley
,
Chichester, UK
.10.1007/978-3-642-04898-2_509
19.
Iman
,
R. L.
,
1987
, “
Modeling Inputs to Computer Models Used in Risk Assessment
,”
Trans. Am. Nucl. Soc.
,
55
, pp.
309
310
.
20.
Iman
,
R. L.
, and
Helton
,
J. C.
,
1991
, “
The Repeatability of Uncertainty and Sensitivity Analysis for Complex Probabilistic Risk Assessment
,”
Risk Anal.
,
11
(
4
), pp.
591
606
.10.1111/j.1539-6924.1991.tb00649.x
21.
Zheng
,
J.
, and
Frey
,
H. C.
,
2004
, “
Quantificaiton of Variability and Uncertainty Using Mixture Distributions: Evaluation of Sample Size, Mixing Weights, and Separation Between Components
,”
Risk Anal.
,
24
(
3
), pp.
553
571
.10.1111/j.0272-4332.2004.00459.x
22.
Helton
,
J. C.
,
Iman
,
R. L.
,
Johnson
,
J. D.
, and
Leigh
,
C. D.
,
1986
, “
Uncertainty and Sensitivity Analysis of a Model for Multi-Component Aerosol Dynamics
,”
Nucl. Tech.
,
73
(3), pp.
320
342
.
23.
Zheng
,
Y.
, and
Rundell
,
A.
,
2006
, “
Comparative Study of Paramete Sensitivity Analyses of the TCR-Activated ERK-MAPK Signalling Pathway
,”
Proc. Syst. Biol.
,
153
(
4
), pp.
201
211
.10.1049/ip-syb:20050088
24.
Lamboni
,
M.
,
Makowski
,
D.
,
Lehuger
,
S.
,
Gabrielle
,
B.
, and
Monod
,
H.
,
2009
, “
Multivariate Global Sensitivity Analysis for Dynamic Crop Models
,”
Field Crops Res.
,
113
(3), pp.
312
320
. 10.1016/j.fcr.2009.06.007
25.
Iman
,
R. L.
, and
Helton
,
J. C.
,
1981
, “
An Approach to Sensitivity Analysis of Computer Models: Part Introduction, Input Variable Selection and Preliminary Variable Assessment
,”
Qual. Technol.
,
13
(
3
), pp.
174
183
.
26.
Qureshi
,
B. A.
, and
Zubair
,
S. M.
,
2006
, “
A Comprehensive Design and Rating Study of Evaporative Coolers and Condensors. Part II. Sensitivity Analysis
,”
Int. J. Refrig.
,
29
(
4
), pp.
659
668
.10.1016/j.ijrefrig.2005.09.015
27.
Hzse
,
S.
,
Sano
,
K.
,
Yamamoto
,
S.
,
Hirano
,
H.
, and
Kohayakawa
,
T.
,
1994
, “
Development of the High-Efficiency Horizontal-Type Scroll Compressor
,”
International Compressor Engineering Conference
, Purdue University,
West Lafayette, IN
, July 19–22, pp.
447
452
.
28.
Ooi
,
K. T.
,
2005
, “
Design Optimization of a Rolling Piston Compressor for Refrigerators
,”
Appl. Therm. Eng.
,
25
(
5–6
), pp.
813
829
.10.1016/j.applthermaleng.2004.07.017
29.
Yang
,
J.
,
Mei
,
L.
,
Noh
,
K.
,
Moon
,
S.
,
Sa
,
B.
,
Choi
,
G.
, and
Kim
,
D.
,
2013
, “
A Sensitivity Study of Size Parameters in a Twin-Type Rolling Piston Compressor
,”
Int. J. Refrig.
,
36
(
3
), pp.
786
794
.10.1016/j.ijrefrig.2012.08.027
30.
Bilal
,
N.
,
2011
, “
Design Optimization of the Suction Manifold of a Reciprocating Compressor Using Uncertainty and Sensitivity Analysis
,” Ph.D. thesis, Purdue University, West Lafayette, IN.
31.
Park
,
J.
,
Bilal
,
N.
,
Adams
,
D. E.
,
Ichikawa
,
Y.
, and
Bayyouk
,
J.
,
2008
, “
Numerical and Experimental Studies of Gas Pulsations in the Suction Manifold of a Multi-Cylinder Automotive Compressor
,”
ASME J. Vib. Acoust.
,
130
(
1
), p.
01101141
.10.1115/1.2732352
32.
Park
,
J.
,
Bilal
,
N.
, and
Adams
,
D. E.
,
2007
, “
Gas Pulsation Reductions in a Multi-Cylinder Compressor Suction Manifold Using Valve-to-Valve Mass Flow Rate Phase Shifts
,”
ASME J. Vib. Acoust.
,
129
(
4
), pp.
406
416
.10.1115/1.2748457
33.
Lai
,
P. C. C.
, and
Soedel
,
W.
,
1996
, “
Two Dimensional Analysis of Thin, Shell or Plate Like Muffler Elemnts
,”
J. Sound Vib.
,
194
(
2
), pp.
137
171
.10.1006/jsvi.1996.0350
34.
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.
,
195
(
3
), pp.
445
475
.10.1006/jsvi.1996.0437
35.
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 Boundary
,”
J. Sound Vib.
,
198
(
2
), pp.
225
248
.10.1006/jsvi.1996.0566
36.
Iman
,
R. L.
, and
Helton
,
J. C.
,
1998
, “
An Investigation of Uncertainty and Sensitivity Analysis Technique for Computer Models
,”
Risk Anal.
,
8
(
1
), pp.
71
90
.10.1111/j.1539-6924.1988.tb01155.x
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