Three-dimensional printing of diamagnetic microparticles in paramagnetic and diamagnetic media

We present an analytical model that explains the motion of finite-size diamagnetic particles in paramagnetic or diamagnetic fluid media. Our model problem is the magnetic field-assisted three-dimensional assembly of carboxylate microspheres in a gadolinium-diethylenetriaminepentaacetic acid (Gd-DTPA...

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Bibliographic Details
Published in:Physics of fluids (1994) 2020-07, Vol.32 (7)
Main Authors: Ghosh, Dibyendu, Gupta, Tamaghna, Sahu, Rakesh P., Das, Prasanta K., Puri, Ishwar K.
Format: Article
Language:English
Subjects:
Assembly
Diamagnetism
Diethylenetriamine pentaacetic acid
Equations of motion
Fluid dynamics
Gadolinium
Graphene
Magnetic fields
Magnetic permeability
Magnetism
Mathematical models
Microparticles
Microspheres
Physics
Three dimensional models
Three dimensional printing
Time marching
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Summary:We present an analytical model that explains the motion of finite-size diamagnetic particles in paramagnetic or diamagnetic fluid media. Our model problem is the magnetic field-assisted three-dimensional assembly of carboxylate microspheres in a gadolinium-diethylenetriaminepentaacetic acid (Gd-DTPA) solution that is placed in a cuboid. The trajectory of each microparticle is determined through a time marching solution of its equation of motion. The effects of the (1) magnetic field distribution and (2) magnetic susceptibility of the paramagnetic solution, which depends on the Gd-DTPA concentration, on the dynamics of particle assembly are identified. Validation of the analytical model is provided through experimental measurements. For the first time, we demonstrate that it is possible to form structures of diamagnetic particles in diamagnetic fluid media, for which we select the assembly of graphene in water.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0012522