Shape Optimization of Impeller Blades for a Bidirectional Axial Flow Pump using Polynomial Surrogate Model
This paper describes the shape optimization of impeller
blades for a anti-heeling bidirectional axial flow pump used in ships.
In general, a bidirectional axial pump has an efficiency much lower
than the classical unidirectional pump because of the symmetry of the
blade type. In this paper, by focusing on a pump impeller, the shape of
blades is redesigned to reach a higher efficiency in a bidirectional axial
pump. The commercial code employed in this simulation is CFX v.13.
CFD result of pump torque, head, and hydraulic efficiency was
compared. The orthogonal array (OA) and analysis of variance
(ANOVA) techniques and surrogate model based optimization using
orthogonal polynomial, are employed to determine the main effects
and their optimal design variables. According to the optimal design,
we confirm an effective design variable in impeller blades and explain
the optimal solution, the usefulness for satisfying the constraints of
pump torque and head.
[1] S. Cao, G. Peng, and Z. Yu, "Hydrodynamic Design of Rotodynamic
Pump Impeller for Multiphase Pumping by Combined Approach of
Inverse Design and CFD Analysis," ASME J. Fluids Eng., Vol. 127, No. 2,
pp. 330-338, 2005.
[2] H. Ding, F. C. Visser, and Y. Jiang, 2011, "Demonstration and Validation
of a 3D CFD Simulation Tool Predicting Pump Performance and
Cavitation for Industrial Applications," ASME J. Fluids Eng., Vol. 133,
No. 1, pp. 011101 (1-14), 2011.
[3] A. J. Stepanoff, Centrifugal and Axial Flow Pumps, John Wiley, 1957.
[4] B. Neumann, The Interaction between Geometry and Performance of a
Centrifugal Pump, Mechanical Engineering Publications Ltd.3, pp.
173-193, 1991.
[5] T. Kumaresan, and J. B. Joshi, "Effect of Impeller Design on the Flow
Pattern and Mixing in Stirred Tanks," Comput. Fluids, Vol. 115, No.
Cavitation for Industrial Applications," ASME J. Fluids Eng., Vol. 133,
No. 1, pp. 011101(1-14), 2006.
[6] J. S. Anagnostopoulos, "A Fast Numerical Method for Flow Analysis and
Blade Design in Centrifugal Pump Impellers," Comput. Fluids, Vol. 38,
No. 2, pp. 284-289, 2009.
[7] Y. B. Lee, Y. B. Lee, M. S. Kim, and D. H. Choi, "Sequential
Approximate Optimization Based on a Pure Quadratic Response Surface
Method with Noise Filtering," Trans. of the KSME (A), Vol. 29, No. 6, pp.
842~851, 2005.
[8] S. H. Baek, K. M. Kim, S. S. Cho, D. Y. Jang, and W. S. Joo, "A
Sequential Optimization Algorithm Using Metamodel-Based Multilevel
Analysis," Trans. of the KSME (A), Vol. 33, No. 9, pp. 892-902, 2009.
[9] N. V. Queipo, A. Verde, S. Pintos, and R. T. Haftka, "Assessing the Value
of Another Cycle in Gaussian Process Surrogate-based Optimization,"
Struct. Multidisc. Optim., Vol. 39, No. 4, pp. 459-475, 2009.
[10] Q. Yu, N. Koizumi, H. Yajima, and M. Shiratori, "Optimum Design of
Vehicle Frontal Structure and Occupant Restraint System for
Crashworthiness (A Multilevel Approach Using SDSS)," JSME Int. J. Ser
A, Solid Mech Mater Eng, Vol. 44, No. 4, pp. 594-601, 2001.
[11] S. H. Baek, S. S. Cho, H. S. Kim and W. S. Joo, "Tarde-off Analysis in
Multi-objective Optimization Using Chebyshev Orthogonal
Polynomials," J. Mech. Sci. Technol., Vol. 20, No. 3, pp. 366-375, 2006.
[12] S. H. Baek, S. S. Cho, and W. S. Joo, "Response Surface Approximation
for Fatigue Life Prediction and Its Application to Multi-Criteria
Optimization With a Priori Preference Information," Trans. of the KSME
(A), Vol. 33, No. 2, pp. 114-126, 2009.
[13] S.H. Baek, S.H. Hong, S.S. Cho, D.Y. Jang, and W.S. Joo, "Optimization
of Process Parameters for Recycling of Mill Scale Using Taguchi
Experimental Design," J. Mech. Sci. Technol., Vol. 24, No. 10,
pp.2127-2134, 2010.
[14] ANSYS CFX, User Manual Release 13, ANSYS Inc, 2011.
[15] T. J. Barth, and D. C. Jesperson, "The Design and Application of Upwind
Schemes on Unstructured Meshes," AIAA J., Vol. 89, No. 89-0366, pp.
1-12, 1989.
[16] F. R. Menter, "Two-equation Eddy-viscosity Turbulence Models for
Engineering Applications," AIAA J., Vol. 32, No. 8, pp. 1598-1605,
1994.
[17] P. J. Roache, Verification and Validation in Computational Science and
Engineering, Hermosa Publishers, Albuquerque, NM, 1998.
[18] M. Meckesheimer, A. J. Booker, R. R. Barton, and T. W. Simpson,
"Computationally Inexpensive Metamodel Assessment Strategies," AIAA
J., Vol. 40, No. 10, pp. 2053-2060, 2002.
[19] J. J. More, and S. J. Wright, Optimization Software Guide, SIAM
Publications, Philadelphia, 1993.
[20] ANSYS, Release 11.0 Documentation, SAS IP, Inc., 2007.
[21] W. Gautschi, Orthogonal Polynomials: Applications and Computations,
Acta Numerica, Cambrige University Press, 1996.
[22] S. H. Park, Robust Design and Analysis for Quality Engineering,
Chapman & Hall, London, 1996.
[1] S. Cao, G. Peng, and Z. Yu, "Hydrodynamic Design of Rotodynamic
Pump Impeller for Multiphase Pumping by Combined Approach of
Inverse Design and CFD Analysis," ASME J. Fluids Eng., Vol. 127, No. 2,
pp. 330-338, 2005.
[2] H. Ding, F. C. Visser, and Y. Jiang, 2011, "Demonstration and Validation
of a 3D CFD Simulation Tool Predicting Pump Performance and
Cavitation for Industrial Applications," ASME J. Fluids Eng., Vol. 133,
No. 1, pp. 011101 (1-14), 2011.
[3] A. J. Stepanoff, Centrifugal and Axial Flow Pumps, John Wiley, 1957.
[4] B. Neumann, The Interaction between Geometry and Performance of a
Centrifugal Pump, Mechanical Engineering Publications Ltd.3, pp.
173-193, 1991.
[5] T. Kumaresan, and J. B. Joshi, "Effect of Impeller Design on the Flow
Pattern and Mixing in Stirred Tanks," Comput. Fluids, Vol. 115, No.
Cavitation for Industrial Applications," ASME J. Fluids Eng., Vol. 133,
No. 1, pp. 011101(1-14), 2006.
[6] J. S. Anagnostopoulos, "A Fast Numerical Method for Flow Analysis and
Blade Design in Centrifugal Pump Impellers," Comput. Fluids, Vol. 38,
No. 2, pp. 284-289, 2009.
[7] Y. B. Lee, Y. B. Lee, M. S. Kim, and D. H. Choi, "Sequential
Approximate Optimization Based on a Pure Quadratic Response Surface
Method with Noise Filtering," Trans. of the KSME (A), Vol. 29, No. 6, pp.
842~851, 2005.
[8] S. H. Baek, K. M. Kim, S. S. Cho, D. Y. Jang, and W. S. Joo, "A
Sequential Optimization Algorithm Using Metamodel-Based Multilevel
Analysis," Trans. of the KSME (A), Vol. 33, No. 9, pp. 892-902, 2009.
[9] N. V. Queipo, A. Verde, S. Pintos, and R. T. Haftka, "Assessing the Value
of Another Cycle in Gaussian Process Surrogate-based Optimization,"
Struct. Multidisc. Optim., Vol. 39, No. 4, pp. 459-475, 2009.
[10] Q. Yu, N. Koizumi, H. Yajima, and M. Shiratori, "Optimum Design of
Vehicle Frontal Structure and Occupant Restraint System for
Crashworthiness (A Multilevel Approach Using SDSS)," JSME Int. J. Ser
A, Solid Mech Mater Eng, Vol. 44, No. 4, pp. 594-601, 2001.
[11] S. H. Baek, S. S. Cho, H. S. Kim and W. S. Joo, "Tarde-off Analysis in
Multi-objective Optimization Using Chebyshev Orthogonal
Polynomials," J. Mech. Sci. Technol., Vol. 20, No. 3, pp. 366-375, 2006.
[12] S. H. Baek, S. S. Cho, and W. S. Joo, "Response Surface Approximation
for Fatigue Life Prediction and Its Application to Multi-Criteria
Optimization With a Priori Preference Information," Trans. of the KSME
(A), Vol. 33, No. 2, pp. 114-126, 2009.
[13] S.H. Baek, S.H. Hong, S.S. Cho, D.Y. Jang, and W.S. Joo, "Optimization
of Process Parameters for Recycling of Mill Scale Using Taguchi
Experimental Design," J. Mech. Sci. Technol., Vol. 24, No. 10,
pp.2127-2134, 2010.
[14] ANSYS CFX, User Manual Release 13, ANSYS Inc, 2011.
[15] T. J. Barth, and D. C. Jesperson, "The Design and Application of Upwind
Schemes on Unstructured Meshes," AIAA J., Vol. 89, No. 89-0366, pp.
1-12, 1989.
[16] F. R. Menter, "Two-equation Eddy-viscosity Turbulence Models for
Engineering Applications," AIAA J., Vol. 32, No. 8, pp. 1598-1605,
1994.
[17] P. J. Roache, Verification and Validation in Computational Science and
Engineering, Hermosa Publishers, Albuquerque, NM, 1998.
[18] M. Meckesheimer, A. J. Booker, R. R. Barton, and T. W. Simpson,
"Computationally Inexpensive Metamodel Assessment Strategies," AIAA
J., Vol. 40, No. 10, pp. 2053-2060, 2002.
[19] J. J. More, and S. J. Wright, Optimization Software Guide, SIAM
Publications, Philadelphia, 1993.
[20] ANSYS, Release 11.0 Documentation, SAS IP, Inc., 2007.
[21] W. Gautschi, Orthogonal Polynomials: Applications and Computations,
Acta Numerica, Cambrige University Press, 1996.
[22] S. H. Park, Robust Design and Analysis for Quality Engineering,
Chapman & Hall, London, 1996.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53809", author = "I. S. Jung and W. H. Jung and S. H. Baek and S. Kang", title = "Shape Optimization of Impeller Blades for a Bidirectional Axial Flow Pump using Polynomial Surrogate Model", abstract = "This paper describes the shape optimization of impeller
blades for a anti-heeling bidirectional axial flow pump used in ships.
In general, a bidirectional axial pump has an efficiency much lower
than the classical unidirectional pump because of the symmetry of the
blade type. In this paper, by focusing on a pump impeller, the shape of
blades is redesigned to reach a higher efficiency in a bidirectional axial
pump. The commercial code employed in this simulation is CFX v.13.
CFD result of pump torque, head, and hydraulic efficiency was
compared. The orthogonal array (OA) and analysis of variance
(ANOVA) techniques and surrogate model based optimization using
orthogonal polynomial, are employed to determine the main effects
and their optimal design variables. According to the optimal design,
we confirm an effective design variable in impeller blades and explain
the optimal solution, the usefulness for satisfying the constraints of
pump torque and head.", keywords = "Bidirectional axial flow pump, Impeller blade, CFD,
Analysis of variance, Polynomial surrogate model", volume = "6", number = "6", pages = "1070-7", }
