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 - <p style="text-align: justify;">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.</p>