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A monolithic finite element strategy for conjugate heat transfer

Santhosh, AK and Jog, CS (2022) A monolithic finite element strategy for conjugate heat transfer. In: Sadhana - Academy Proceedings in Engineering Sciences, 47 (4).

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Official URL: https://doi.org/10.1007/s12046-022-01991-3

Abstract

Motivated by several applications such as thermal management of electronic components, the design and modeling of heat exchangers, etc. this work presents an efficient monolithic finite element strategy for solving thermo-fluid-structure interaction problems involving a compressible fluid and a structure undergoing small deformations. This formulation uses displacement variables for the structure and velocity variables for the fluid, with no additional variables required to ensure traction, velocity, temperature and heat flux continuity at the fluid-structure interface. The use of an exact tangent stiffness matrix ensures a quadratic rate of convergence within each time step. The robustness and good performance of the method is demonstrated by applying the proposed strategy to a wide spectrum of problems pertaining to steady/transient, two/three-dimensional/axisymmetric problems involving conjugate heat transfer. In particular, it is shown that the proposed formulation yields good results even when the fluid is almost incompressible. © 2022, Indian Academy of Sciences.

Item Type: Journal Article
Publication: Sadhana - Academy Proceedings in Engineering Sciences
Publisher: Springer
Additional Information: The copyright for this article belongs to Springer.
Keywords: Finite element method; Fluid structure interaction; Heat exchangers; Heat transfer; Incompressible flow; Stiffness matrix; Thermoelasticity, Compressible fluids; Conjugate heat transfer; Design and modeling; Electronic component; Fluid-structure interaction problem; Linear thermoelasticity; Monolithic finite element; Monolithics; Small deformations; Thermo fluids, Heat flux
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 22 Dec 2022 05:55
Last Modified: 22 Dec 2022 05:55
URI: https://eprints.iisc.ac.in/id/eprint/78465

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