Dynamics of rotating paramagnetic particle chains simulated by particle dynamics,Stokesian dynamics and lattice Boltzmann methods |
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Authors: | S Krishnamurthy A Yadav P E Phelan R Calhoun A K Vuppu A A Garcia M A Hayes |
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Affiliation: | (1) Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106, USA;(2) The National Center of Excellence on SMART Innovations for Urban Climate + Energy, Arizona State University, Tempe, AZ 85287-6106, USA;(3) Harrington Department of Bioengineering, Arizona State University, Tempe, AZ 85287-6106, USA;(4) Department of Chemistry and Biochemistry, Arizona State University, Tempe, AZ 85287-6106, USA |
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Abstract: | Paramagnetic particles, when subjected to external unidirectional rotating magnetic fields, form chains which rotate along
with the magnetic field. In this paper three simulation methods, particle dynamics (PD), Stokesian dynamics (SD) and lattice
Boltzmann (LB) methods, are used to study the dynamics of these rotating chains. SD simulations with two different levels
of approximations—additivity of forces (AF) and additivity of velocities (AV)—for hydrodynamic interactions have been carried
out. The effect of hydrodynamic interactions between paramagnetic particles under the effect of a rotating magnetic field
is analyzed by comparing the LB and SD simulations, both of which include hydrodynamic interactions, with PD simulations in
which hydrodynamic interactions are neglected. It was determined that for macroscopically observable properties like average
chain length as a function of Mason number, reasonable agreement is found between all the three methods. For microscopic properties
like the force distribution on each particle along the chain, inclusion of hydrodynamic interaction becomes important to understand
the underlying physics of chain formation.
Any opinion, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily
reflect the views of the National Science Foundation. |
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Keywords: | Magnetorheological fluids Simulation Biochemical sensors |
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