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Structural and Multidisciplinary Optimization

, Volume 60, Issue 5, pp 1821–1840 | Cite as

Topology optimization of convective heat transfer problems for non-Newtonian fluids

  • Bin ZhangEmail author
  • Limin Gao
Research Paper
  • 236 Downloads

Abstract

We conduct topology optimization of convective heat transfer problems based on the power law type non-Newtonian fluid. A heat transfer maximization problem is studied by using a material distribution based optimization method to optimize configurations of non-Newtonian cooling devices. The key idea of the method is to discern the fluid and the solid domains by a design variable, namely the “material density.” It is updated according to the gradient information obtained from an adjoint-based sensitivity analysis process. The non-Newtonian effects on optimal configurations of thermal devices are numerically investigated. Our results show that more branched flow channels appear in the optimal designs as the pressure difference or heat generation grows. Meanwhile, the dependence of the optimal layout on the power law index is demonstrated and higher power law index can result in more complex configurations and lower flow rate. Compared with the low power law index one, the optimal design of the high power law index problem has much better heat transfer performance on the same condition.

Keywords

Topology optimization Non-Newtonian fluid Thermal-fluid Convective heat transfer Power law model Sensitivity analysis 

Notes

Acknowledgments

The authors are grateful to Professor X.-P Chen for helpful discussions and language editing.

Funding information

B.Z. is supported by the Fundamental Research Funds for the Central Universities (No. G2018KY0306). L.G. is supported by the National Natural Science Foundation of China (No. 51790512).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Engineering Mechanics, School of Mechanics, Civil Engineering and ArchitectureNorthwestern Polytechnical UniversityXi’anPeople’s Republic of China
  2. 2.School of Power and EnergyNorthwestern Polytechnical UniversityXi’anPeople’s Republic of China

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