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Volume 6, Issue 3
Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element

V. Esfahanian, E. Dehdashti & A. M. Dehrouyeh-Semnani

DOI: 10.4208/aamm.2013.m152

Adv. Appl. Math. Mech., 6 (2014), pp. 345-358.

Published online: 2014-06

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  • Abstract

Fluid-structure interaction (FSI) problems in microchannels play prominent roles in many engineering applications. The present study is an effort towards the simulation of flow in microchannel considering FSI. Top boundary of the microchannel is assumed to be rigid and the bottom boundary, which is modeled as a Bernoulli-Euler beam, is simulated by size-dependent beam elements for finite element method (FEM) based on a modified couple stress theory. The lattice Boltzmann method (LBM) using D2Q13 LB model is coupled to the FEM in order to solve fluid part of FSI problem. In the present study, the governing equations are non-dimensionalized and the set of dimensionless groups is exhibited to show their effects on micro-beam displacement. The numerical results show that the displacements of the micro-beam predicted by the size-dependent beam element are smaller than those by the classical beam element.

  • Keywords

Fluid-structure interaction, microchannel, lattice Boltzmann method, size-dependent beam element.

  • AMS Subject Headings

74F10, 74N15, 74A60, 80M10, 76T99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-345, author = {Esfahanian , V.Dehdashti , E. and Dehrouyeh-Semnani , A. M.}, title = {Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {3}, pages = {345--358}, abstract = {

Fluid-structure interaction (FSI) problems in microchannels play prominent roles in many engineering applications. The present study is an effort towards the simulation of flow in microchannel considering FSI. Top boundary of the microchannel is assumed to be rigid and the bottom boundary, which is modeled as a Bernoulli-Euler beam, is simulated by size-dependent beam elements for finite element method (FEM) based on a modified couple stress theory. The lattice Boltzmann method (LBM) using D2Q13 LB model is coupled to the FEM in order to solve fluid part of FSI problem. In the present study, the governing equations are non-dimensionalized and the set of dimensionless groups is exhibited to show their effects on micro-beam displacement. The numerical results show that the displacements of the micro-beam predicted by the size-dependent beam element are smaller than those by the classical beam element.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m152}, url = {http://global-sci.org/intro/article_detail/aamm/23.html} }
TY - JOUR T1 - Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element AU - Esfahanian , V. AU - Dehdashti , E. AU - Dehrouyeh-Semnani , A. M. JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 345 EP - 358 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2013.m152 UR - https://global-sci.org/intro/article_detail/aamm/23.html KW - Fluid-structure interaction, microchannel, lattice Boltzmann method, size-dependent beam element. AB -

Fluid-structure interaction (FSI) problems in microchannels play prominent roles in many engineering applications. The present study is an effort towards the simulation of flow in microchannel considering FSI. Top boundary of the microchannel is assumed to be rigid and the bottom boundary, which is modeled as a Bernoulli-Euler beam, is simulated by size-dependent beam elements for finite element method (FEM) based on a modified couple stress theory. The lattice Boltzmann method (LBM) using D2Q13 LB model is coupled to the FEM in order to solve fluid part of FSI problem. In the present study, the governing equations are non-dimensionalized and the set of dimensionless groups is exhibited to show their effects on micro-beam displacement. The numerical results show that the displacements of the micro-beam predicted by the size-dependent beam element are smaller than those by the classical beam element.

Esfahanian , V.Dehdashti , E. and Dehrouyeh-Semnani , A. M.. (2014). Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element. Advances in Applied Mathematics and Mechanics. 6 (3). 345-358. doi:10.4208/aamm.2013.m152
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