Fractional Four-Step Finite Element Method for Analysis of Thermally Coupled Fluid-Solid Interaction Problems

A.Malatip; N.Wansophark; P.Dechaumphai

doi:10.3879/j.issn.1000-0887.2012.01.008

Volume 33 Issue 1

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A.Malatip, N.Wansophark, P.Dechaumphai. Fractional Four-Step Finite Element Method for Analysis of Thermally Coupled Fluid-Solid Interaction Problems[J]. Applied Mathematics and Mechanics, 2012, 33(1): 94-112. doi: 10.3879/j.issn.1000-0887.2012.01.008

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Fractional Four-Step Finite Element Method for Analysis of Thermally Coupled Fluid-Solid Interaction Problems

doi: 10.3879/j.issn.1000-0887.2012.01.008

¹Computer-Aided Research University, National Metal and Materials Technology Center,Pathumthani 12120, Thailand;²Department of Mechanical Engineering, Faculty of Engineering, Chulalongkorn University, Patumwan, Bangkok 10330, Thailand

Received Date: 2010-12-16
Rev Recd Date: 2011-08-17
Publish Date: 2012-01-15

Abstract

Abstract

An integrated fluid-thermal-structural analysis approach, where the heat conduction in a solid was coupled with the heat convection in viscous flow of the fluid resulting in the thermal stress in the solid, was presented.The fractional four-step finite element method and streamline upwind Petrov-Galerkin method were used for the analysis of viscous thermal flow in the fluid whereas the analyses of heat transfer and thermal stress in solid were performed using the Galerkin method.The second-order semi-implicit Crank-Nicolson scheme was applied for time integration and the resulting nonlinear equations were linearized to improve the computational efficiency.The integrated analysis method employ the three-node triangular element with equal-order interpolation functions for all variables of the fluid velocity components, pressure, temperature and the solid displacements in order to simplify the overall finite element formulation.The main advantage of the presented method was to consistently couple heat transfer along the fluid-solid interface.Results from several tested problems illustrated the effectiveness of the presented finite element method that can provide insight into the integrated fluid-thermal-structural interaction phenomena.
- fluid-solid interaction,
- finite element method,
- fractional four steps

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References(14)

References

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