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Immersed boundary method based fluid–structure–thermal interaction solver with conjugate heat transfer

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Abstract

We present the development of a sharp-interface immersed boundary method based in-house fluid–structure interface (FSI) solver. In particular, we implement conjugate heat transfer (CHT) in the solver in this work. A finite element model is developed for solving heat conduction in the structure. A Dirichlet–Neumann strong coupling is used at the fluid–structure interface to prescribe a perfect thermal contact at the interface. The numerical stability is ensured by using an under-relaxation parameter in the coupling. We present validation of the structural heat transfer solver with analytical results. The solver is verified with previously published results for CHT problems: a structure kept in a cavity with no velocity in fluid, channel flow with CHT, and natural convection in a cavity with CHT. Lastly, we demonstrate the solver’s capability by simulating an FSI problem for a deformable structure boundary with CHT. These extensive verification and tests illustrate the accuracy and robustness of the solver.

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Acknowledgements

R B gratefully acknowledge financial support by a grant (Grant No. MTR/2019/000696) from the Science and Engineering Research Board (SERB), Department of Science and Technology (DST), New Delhi, India. This work was carried out as a part of Ph.D. thesis of H.G. at IIT Bombay. We gratefully acknowledge allocation of computing time by high performance computational (HPC) facility, IIT Bombay, for the simulations carried out in the present work.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai, 400076, India

    Hemanshul Garg, Anup Kundu, Atul Kumar Soti & Rajneesh Bhardwaj

  2. Department of Mechanical Engineering, Eindhoven University of Technology, 5612 AZ, Eindhoven, Netherlands

    Hemanshul Garg

  3. Department of Chemical Engineering, SSN College of Engineering, Chennai, Tamilnadu, 603110, India

    Anup Kundu

  4. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, 781039, India

    Atul Kumar Soti

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  1. Hemanshul Garg
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Correspondence to Rajneesh Bhardwaj.

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Garg, H., Kundu, A., Soti, A.K. et al. Immersed boundary method based fluid–structure–thermal interaction solver with conjugate heat transfer. Sādhanā 48, 200 (2023). https://doi.org/10.1007/s12046-023-02241-w

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  • DOI: https://doi.org/10.1007/s12046-023-02241-w

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