DESIGN AND ANALYSIS OF A CENTRIFUGAL COMPRESSOR...
Transcript of DESIGN AND ANALYSIS OF A CENTRIFUGAL COMPRESSOR...
DESIGN AND ANALYSIS OF A
CENTRIFUGAL COMPRESSOR FOR A
SIMPLE CYCLE GAS TURBINE ENGINE
Elkin Gutiérrez
Grupo de Estudos em Tecnologias de
Conversão de Energia - GETEC
OUTLINE OF PRESENTATION
• Group presentation
• Introduction
• Objectives
• Compressor design
• CFD simulation
• Conclusions
• Acknowledgments
ABOUT US
• The Study Group on Energy Conversion Technologies –
GETEC of Federal University of Itajubá – UNIFEI, was
created in 2009.
• In the area of energy conversion, GETEC has experience in
analysis and simulation of gas turbine cycles, and CFD
simulations of compressors, turbines, combustion chambers
and compact heat exchangers recuperators, as well as
laboratory experiments.
• GETEC offers training courses in gas turbines engine,
centrifugal and reciprocating compressors, internal
combustion engines, among others.
INTRODUCTION
• Solutions to present and future energy shortages will rely
increasingly on improved designs of high-efficiency turbo
machinery.
• Centrifugal compressors are used in a wide range of
applications in which performance and mechanical integrity
are invariably among the paramount design objectives.
OBJECTIVE
• This work presents the validation and results of a one-
dimensional code for the design of a centrifugal
compressor impeller as a tool for very fast and reliable
preliminary results
PRELIMINAR CYCLE
SIMULATION
Compressor design
ENGINE DESIGN POINT SELECTION
Parameter Value Units
Ambient temperature 288 K
Ambient pressure 101.32 kPa
Turbine inlet temperature 1123 K
Fuel temperature 288 K
Pressure ratio 4 --
Compressor adiabatic efficiency 80 %
Combustion adiabatic efficiency 99 %
Turbine efficiency 85 %
Gas turbine power output 600 kW
THERMAL PERFORMANCE ANALYSIS
Stream Temperature Pressure Flow
S1 288 101.3 4.29
S2 461 405.3 4.29
S3 288 500.0 0.07
S4 1123 397.2 4.4
S5 846 101.3 4.4
ONE DIMENSIONAL CODE
Compressor design
CODE INPUT DATA
.m .m
NON-DIMENSIONAL PARAMETERS
Parameter Equation
Incidence
factor
Impeller Speed
Flow
Coefficient
Parameter Equation
Mass Flow
Parameter
Blade Loading
Coefficient
Specific
Speed
Power
Coefficient
2 21 tan / tan
1/21
2
01
( ) 1
( 1)
k
k
s
U PR
a k
2
21 011 1
01 2 01 2
(1 )sr aC
r a U
1
2
3
4
2
sN
2
01
2.
a
UW ND
2
01
U
a
2 s
ONE-DIMENSIONAL CODE OUTPUT DATA
CODE VALIDATION
Compressor design
VALIDATION RESULTS
Parameter Experimental* Code Dev [%]
Hub Radius 35.4 35.5 0.28
Shroud Radius 91.7 92.0 0.36
Exit Radius 200.0 200.9 0.44
Rotation [rpm] 22360 22839 2.14
Exit Absolute Mach 0.96 0.92 3.89
Tangential Velocity 468.3 480.5 2.60
* Krain H. Test Case 2: Centrifugal Impeller, DLR. In: Group ETS, editor. Seminar
and Workshop on 3D Turbomachinery Prediction II. Val d’Isère, France; 1994.
CFD SIMULATION
Compressor design
CFD GEOMETRY
Parameter Value Units
Shroud radius 95.25 mm
Hub radius 26.67 mm
Inlet area 26270 mm2
Discharge radius 190.51 mm
Blade height 10.84 mm
Axial length 95.25 mm
Discharge area 12970 mm2
Blades number 20 ----
Parameter Value Units
Inlet radius 209.56 mm
Discharge area 14270 mm2
Discharge radius 282.90 mm
Blade length 143.00 mm
Blade spacing 93.55 mm
Blades number 19 ----
ASSEMBLE IMPELLER-DIFFUSER
MESH CHARACTERISTICS
Domain Nodes Elements
Impeller - R1 79 552 69 800
Diffuser - S1 103 114 92 244
Both Domains 182 666 162 044
BOUNDARY PARAMETERS
Inlet
Domain R1
Flow regime Subsonic
Heat transfer Stat. frame total temperature (288 K)
Mass and momentum Stat. Frame Total Pressure (101.32 kPa)
Turbulence: Eddy Viscosity Ratio
Interface
Domain interface R1 to S1
Interface type Fluid-Fluid
Frame change Stage
Mesh connection General Grid Interface
BOUNDARY PARAMETERS
Outlet
Domain S1
Flow regime Subsonic
Mass and momentum Average static pressure (274.52 kPa)
Pressure profile blend 0.05
Wall
Domain R1, S1
Location Hub, Shroud, Blade
Heat transfer Adiabatic
Mass and momentum No slip wall
Wall roughness Smooth wall
CFD RESULTS
COMPARISON RESULTS
Stage parameter CFD Code Dev [%]
Input power 780.4 752.2 3.6
TPR 4.08 4.00 2.0
TTR 1.69 1.61 4.7
i 74.58 80.00 7.3
Inlet parameter CFD Code Dev [%]
Static pressure 89.84 89.84 0.00
Total pressure 101.3 101.3 0.00
Static temperature 278.3 278.3 0.00
Total temperature 288.1 288.0 0.03
Absolute Mach 0.41 0.42 0.93
Tangential velocity 228.6 250.9 9.75
Absolute velocity 138.5 144.8 4.58
Outlet parameter CFD Code Dev [%]
Static pressure 280.0 232.4 17.0
Total pressure 512.4 429.0 16.3
Static temperature 402.7 388.6 3.50
Total temperature 486.6 463.0 4.87
Absolute Mach 0.93 0.98 4.69
Relative Mach 0.58 0.56 2.83
Absolute velocity 377.2 386.5 2.48
COMPARISON RESULTS
COMPARISON RESULTS
Outlet parameter CFD Code Dev [%]
Absolute velocity 144.7 142.3 1.67
Absolute mach 0.33 0.33 1.12
Flow angle 33.78 35.19 4.01
Static pressure 375.8 375.8 0.00
Total pressure 413.6 405.3 2.07
Static temperature 467.3 453.1 3.13
Total temperature 486.1 463.0 4.99
Mass flow rate 4.11 4.28 4.12
Inlet parameter CFD Code Dev [%]
Absolute velocity 380.6 349.5 8.18
Absolute Mach 0.94 0.88 6.32
Flow angle 26.36 24.32 8.37
COMPRESSOR CHARACTERISTIC CURVE 100% SPEED
3,4
3,5
3,6
3,7
3,8
3,9
4
4,1
4,2
4 4,1 4,2 4,3 4,4 4,5 4,6
Pre
ss
ure
Ra
tio
Mass Flow [kg/s]
Design point
CONCLUSIONS
• The developed code constitutes a practical and reliable
preliminary design tool for determining the basic
configuration of centrifugal compressors.
• Through of a one dimensional code is feasible to obtain
fairly close results, which can be optimized subsequently by
mean of more detailed CFD processes.
ACKNOWLEDGMENTS
• Petrobras Research and Development Center (CENPES)
• National Council of Technological and Scientific
Development (CNPq)
• Foundation for Research Support of Minas Gerais
(FAPEMIG)