Optimization of a Centrifugal Compressor Using the Design of Experiment Technique
Abstract
:1. Introduction
2. Bézier Curve
3. Design of Experiment
3.1. Design Space
3.2. Box-Behnken Technique
3.3. Response Surface Model
3.4. Creating the Design Space
3.4.1. Stage I
3.4.2. Stage II
3.4.3. Stage III
3.4.4. Stage IV
4. Geometry
5. Modeling
6. Results and Discussions
6.1. Effective Parameter Identification
6.2. Response Surface for Finding the Optimal Geometry
- The wider ranges are considered for the parameters in the hub section
- The hub section variation has more effect on whole impeller geometry in comparison to the changes in the shroud section
- The shroud characteristics are dependent on hub geometry hence the most effective parameters in hub also have effects on the shroud
7. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclature
B | Bernsein polynomial |
Angle distribution parameters | |
c | Control points |
Constant coefficient | |
d | Differential |
E | Effect of parameter(s) |
f | Objective function |
H | Hub |
Inlet geometry parameters | |
L | Sum of the squares of the errors |
Mass flow rate | |
Meridional geometry parameters | |
n | Polynomial degree |
p | Parametric curve equation |
Total pressure | |
Pressure ratio | |
r | Radial coordinate |
s | Meridional coordinate |
S | Shroud |
t | Control parameter |
Total temperature | |
Factors | |
Response surface equation | |
Average response of x | |
Parameters, Factors | |
Parameter levels | |
Greek Letters | |
Blade angle | |
Response coefficient | |
Specific heat | |
Approximation error | |
Total to total isentropic efficiency | |
Azimuthal coordinate of blade curves | |
Density | |
Subscript | |
0 | Compressor inlet |
1 | Impeller inlet |
2 | Impeller outlet |
3 | Diffuser outlet |
Minimum | |
Maximum | |
Superscript | |
i | Initial value |
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Stage | Concept | Number of Factors | Parameters |
---|---|---|---|
I | Meridional Plane Geometry | 5 | |
II | Blade Angle Distribution | 4 | |
III | Blade Inlet Geometry and Splitter | 4 |
Characteristics | Values |
---|---|
Inlet Hub Radius(mm) | 11 |
Inlet Shroud Radius(mm) | 28 |
Impeller Axial Length(mm) | 27.1 |
Discharge Radius(mm) | 41 |
Discharge Width(mm) | 5.7 |
Tip Clearance (mm) | 0.4 |
Number of Blades | 6 |
Number of Splitters | 6 |
Diffuser Discharge Radius(mm) | 72.25 |
Diffuser Outlet Width(mm) | 4.27 |
Function | Reference | Optimum | A | B | C | D | E | F |
---|---|---|---|---|---|---|---|---|
2.245 | 2.336 | 0.091 | −1.000 | 0.313 | −1.000 | 1.000 | 1.000 | |
85.15% | 85.54% | 1.000 | 1.000 | −1.000 | 1.000 | −0.616 | 0.838 | |
1.00 | 0.972 | −0.535 | 1.000 | 1.000 | −1.000 | 0.939 | 1.000 |
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Mojaddam, M.; Pullen, K.R. Optimization of a Centrifugal Compressor Using the Design of Experiment Technique. Appl. Sci. 2019, 9, 291. https://doi.org/10.3390/app9020291
Mojaddam M, Pullen KR. Optimization of a Centrifugal Compressor Using the Design of Experiment Technique. Applied Sciences. 2019; 9(2):291. https://doi.org/10.3390/app9020291
Chicago/Turabian StyleMojaddam, Mohammad, and Keith R. Pullen. 2019. "Optimization of a Centrifugal Compressor Using the Design of Experiment Technique" Applied Sciences 9, no. 2: 291. https://doi.org/10.3390/app9020291