Microscopic design and optimization of hydrodynamically lubricated dissipative interfaces

Berkay Alp Çakal, İlker Temizer, Kenjiro Terada, Junji Kato

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A homogenization-based topology optimization framework is developed, which can endow hydrodynamically lubricated interfaces with a micro-texture, to achieve optimal macroscopic responses by addressing both dissipative and nondissipative physics at the interface. With respect to the homogenization aspects of the problem, the thermodynamic consistency of the two-scale formulation is explicitly analyzed and verified. With respect to the topology optimization aspects, a variational approach to sensitivity analysis is pursued. Subsequently, these are employed in micro-texture design studies, which address microscopic and macroscopic objectives. The influence of dissipation on the optimization results is demonstrated through extensive numerical investigations, which also highlight the importance of working in a sufficiently flexible design space that can deliver nearly optimal micro-texture geometries.

    Original languageEnglish
    Pages (from-to)153-178
    Number of pages26
    JournalInternational Journal for Numerical Methods in Engineering
    Volume120
    Issue number2
    DOIs
    Publication statusPublished - 2019 Oct 12

    Keywords

    • dissipation
    • homogenization
    • lubrication
    • optimization
    • texture design

    ASJC Scopus subject areas

    • Numerical Analysis
    • Engineering(all)
    • Applied Mathematics

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