Thermal-fluid Optimization Model of Small-scale Hydraulic Conduits

Authors

  • Jeffrey Bies Mechanical Engineering, University of Minnesota, Minneapolis, MN, United States
  • William Durfee Mechanical Engineering, University of Minnesota, Minneapolis, MN, United States https://orcid.org/0000-0002-9747-2199

DOI:

https://doi.org/10.13052/ijfp1439-9776.2526

Keywords:

Continuous adjoint method, hydraulic, multi-objective optimization, OpenFOAM, topology optimization

Abstract

Multiphysics topology optimization has applications in computer-aided design of products, including small-scale fluid power systems where flow efficiency, thermal management, and weight management matter. While algorithms exist that can optimize a single objective, there are no solutions that can simultaneously address all three of these factors. This study developed a multiphysics topology optimization process that uses a thermal-fluid-structure model to generate high-pressure hydraulic designs where passive cooling is built into the flow channels. Python was used with Open-Source Field Operation and Manipulation (OpenFOAM) for geometry creation, meshing, and finite volume and sensitivity analysis to implement the multi-objective optimization for small-scale fluid power systems. The process was performed iteratively to inform the next iteration’s geometry until an optimized design was reached.

The results show that pressure drop, fluid density, fluid velocity, and inlet diameter are positively correlated with capillary branching and that design space and viscosity are negatively correlated with capillary branching. Enhanced heat transfer came at the cost of pressure drop, where increasing the allowable pressure drop by 195% led to an increased temperature drop of 17%. Expanding the design space had the most significant impact on heat transfer, where extending the design space width by three times led to a 365% increase in temperature drop. Incorporating a curved exterior wall in the design space while holding the area and mesh node count constant led to a 3% increase in temperature drop while decreasing computational time by 68%. Lower viscosity of the working fluid leads to increased capillary branching with minimal impact on temperature drop (0.3%), while incorporating a temperature-dependent viscosity model led to a more prominent temperature drop (15%). Future work will expand the topology optimization method to incorporate structural optimization to handle load-bearing.

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Author Biographies

Jeffrey Bies, Mechanical Engineering, University of Minnesota, Minneapolis, MN, United States

Jeffrey Bies received their bachelor’s degree in physics from the University of Minnesota, and their master’s and philosophy of doctorate degrees in mechanical engineering from the University of Minnesota. They are currently working as a Senior Research Engineer at 3M and a Lecturer at the Mechanical Engineering Department, University of Minnesota. Their research areas include machine learning and sustainable design.

William Durfee, Mechanical Engineering, University of Minnesota, Minneapolis, MN, United States

William Durfee is Professor and Director of Design Education in the Department of Mechanical Engineering, and the co-director of the Bakken Medical Devices Center at the University of Minnesota. His research and professional interests include the design of medical devices, rehabilitation technology, wearable robots, muscle biomechanics including electrical stimulation of muscle, compact hydraulic systems, product design, and hands-on design education.

References

W. Durfee, J. Xia and E. Hsiao-Wecksler, “Tiny hydraulics for powered orthotics,” 2011 IEEE International Conference on Rehabilitation Robotics, pp. 1–6, 2011.

J. P. Leiva, “Freeform optimization: a new capability to perform grid by grid shape optimization of structures,” in 6th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems, Kyoto, Japan, 2010.

J. P. Leiva, “Methods for generation perturbation vectors for topography optimization of structrures,” in 5th World Congress of Structural and Multidisciplinary Analysis and Optimization, Lido di Jesolo, Italy, 2003.

J. P. Leiva, “Topometry optimization: a new capability to perform element by element sizing optimization of structures,” in 10th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Albany, New York, United States of America, 2004.

J. P. Leiva and B. C. Watson, “Shape optimization in the genesis program,” in Optimization in Industry II, Banff, Canada, 1999.

J. P. Leiva, B. C. Wattson and I. Kosaka, “Modern structural optimization concepts applied to topology optimization,” in 40th Structures, Structural Dynamics, and Materials Conference and Exhibit, St. Louis, Missouri, United States of America, 1999.

G. Halila, J. Martins and K. Fidkowski, “Adjoint-based aerodynamic shape optimization including transition to turbulence effects,” Aerospace Science and Technology, vol. 107, 2020.

G. Rozvany, “Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics,” Structural and Multidisciplinary Optimization, vol. 21, no. 2, pp. 90–108, 2001.

Y. J. Lee, P. S. Lee and S. K. Chou, “Enhanced thermal transport in microhcannel using oblique fins,” Journal of Heat Transfer, vol. 134, no. 10, pp. 1–10, 2012.

Y. Sui, C. J. Teo, P. S. Lee, Y. T. Chew and C. Shu, “Fluid flow and heat transfer in wavy microchannels,” International Journal of Heat and Mass Transfer, vol. 53, no. 1, pp. 2760–2772, 2010.

Z. Lin, P. Seng, P. Kumar and N. Mou, “Investigation of fluid flow and heat transfer in wavy micro-channels with alternating secondary branches,” International Journal of Heat and Mass Transfer, vol. 101, no. 1, pp. 1316–1330, 2016.

G. H. Yoon, “Topological design of heat dissipating structure with forced convective heat transfer,” Journal of Mechanical Science and Technology, vol. 24, no. 6, pp. 1225–1233, 2010.

M. Yu, S. Ruan, J. Gu, M. Ren, Z. Li, X. Wang and C. Shen, “Three-dimensional topology optimization of thermal-fluid-structural problems for cooling system design,” Structural and Multidisciplinary Optimization, vol. 62, pp. 3347–3366, 2020.

B. Munson, T. Okiishi, W. Huebsch and A. Rothmayer, Fundamentals of Fluid Mechanics, 7th edition, Hoboken, NJ, United States of America: John Wiley & Sons, Inc., 2013.

T. Borrvall and J. Petersson, “Topology optimization of fluids in Stokes flow,” International Journal for Numerical Methods in Fluids, vol. 41, no. 1, pp. 77–107, 2002.

M. Stolpe and K. Svanberg, “An alternative interpolation scheme for minimum compliance topology optimization,” Structural and Multidisciplinary Optimization, vol. 22, pp. 116–124, 2001.

D. Shang, Theory of heat transfer with forced convection film flows, Heidelberg, Germany: Springer Science & Business Media, 2010.

A. Kawamoto, T. Matsumori, S. Yamasaki, T. Nomura, T. Kondoh and S. Nishiwaki, “Heaviside projection based topology optimization by a PDE-filtered scalar function,” Structural Multidisciplinary Optimization, vol. 44, no. 1, pp. 19–24, 2011.

K. Svanberg, “The method of moving asymptotes – a new method for structural optimization,” International Journal of Numerical Methods Engineering, vol. 24, pp. 359–373, 1987.

N. Aage and B. S. Lazarov, “Parallel framework for topology optimization using the method of moving asymptotes,” Structural Multidisciplinary Optimization, vol. 47, pp. 493–505, 2013.

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Published

2024-07-30

How to Cite

Bies, J. ., & Durfee, W. . (2024). Thermal-fluid Optimization Model of Small-scale Hydraulic Conduits. International Journal of Fluid Power, 25(02), 225–242. https://doi.org/10.13052/ijfp1439-9776.2526

Issue

Section

GFPS 2022