Brownian dynamics simulations of ellipsoidal magnetizable particle suspensions

Torres‐Díaz, Isaac; Rinaldi, Carlos

doi:10.1088/0022-3727/47/23/235003

Cited by 7 publications

(5 citation statements)

References 32 publications

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“…41,42 Several authors have exploited quaternions in BD simulations of colloids to avoid the divergencies occurring when using three rotational coordinates, like the Euler angles or the Cartesian components of the rotation vector. 26,36,[43][44][45] Less appreciated is that quaternions have the additional advantages of eliminating both a metric tensor term, associated with BD simulations in non-Cartesian coordinates, and a mobility term, associated with the orientation dependence of the mobility matrix. 42,46 The latter cancellation occurs only if the orientation of the colloid is determined relative to the hydrodynamic center in the mobility picture.…”

Section: Introductionmentioning

confidence: 99%

Intrinsic viscosities of non-spherical colloids by Brownian dynamics simulations

Palanisamy

Otter

2019

The Journal of Chemical Physics

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A numerical study is presented on the intrinsic viscosities of sheared dilute suspensions of nonspherical Brownian colloidal particles. The simulations confirm theoretical predictions on the intrinsic viscosities of highly oblate and highly prolate spheroids in the limits of weak and strong Brownian noise (i.e., for low and high Péclet numbers). Numerical data and fit functions are provided covering the entire shearthinning regime, for spheroids ranging from highly oblate to highly prolate. The tumbling motion and intrinsic viscosities of a hemispherical cap and a helix are briefly discussed.

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Section: Introductionmentioning

confidence: 99%

Intrinsic viscosities of non-spherical colloids by Brownian dynamics simulations

Palanisamy

Otter

2019

The Journal of Chemical Physics

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“…Although the Brownian dynamics of different types of suspended particles has already been studied [16][17][18][19]22,29,30], there is a lack of theoretical study on magnetic NFVs. In this work, we presented Brownian dynamics study of magnetic NFVs suspended in a Newtonian fluid, under an external time-varying magnetic field in the dilute limit.…”

Section: Discussionmentioning

confidence: 99%

“…In order to calculate the PDF of the distance from the origin after N steps, we first define the characteristic function which is the inverse Fourier transform of the PDF (22) After N steps of random walk, the characteristic function will be ) (k Z N x [28]. Taking the Fourier transform of…”

Section: -2 Zero Magnetic Fieldmentioning

confidence: 99%

“…The Brownian motion of different types of particles suspended in a Newtonian fluid has been numerically studied [16][17][18][19][20][21]. More recently, the numerical simulation of stochastic rotation of tri-axial ellipsoidal magnetic particles under constant and time-varying magnetic fields has been presented in [22]. Nevertheless, there is a lack of rigorous theoretical studies for dynamics of NFVs in fluids.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of magnetic nano-flake vortices in Newtonian fluids

Bazazzadeh

Mohseni

Khavasi

et al. 2016

Journal of Magnetism and Magnetic Materials

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We study the rotational motion of nano-flake ferromagnetic discs suspended in a Newtonian fluid, as a potential material owing the vortex-like magnetic configuration. Using analytical expressions for hydrodynamic, magnetic and Brownian torques, the stochastic angular momentum equation is determined in the dilute limit conditions under applied magnetic field. Results are compared against experimental ones and excellent agreement is observed. We also estimate the uncertainty in the orientation of the discs due to the Brownian torque when an external magnetic field aligns them. Interestingly, this uncertainty is roughly proportional to the ratio of thermal energy of fluid to the magnetic energy stored in the discs. Our approach can be implemented in many practical applications including biotechnology and multi-functional fluidics.Comment: 13 pages, 7 figure

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“…In this equation, H− is the uniform magnetic field inside the particle and is a function of the particle aspect ratio as well as the fluid and particle’s magnetic properties [72,73]. Zhou et al [74] obtained an expression for the magnetic torque in the x−y plane (i.e., about the z axis), Tmz, on an ellipsoidal particle: Tmz=−12μ0Vp(χp−χf)2H02(Dyy−Dxx)sin2(ϕ−α)[1 + χf + (χp−χf)Dxx][1+χf+(χp−χf)Dyy] where Dxx and …”

Section: Theoretical Backgroundmentioning

confidence: 99%

Recent Advances in Continuous-Flow Particle Manipulations Using Magnetic Fluids

Xuan¹

2019

Micromachines

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Magnetic field-induced particle manipulation is simple and economic as compared to other techniques (e.g., electric, acoustic, and optical) for lab-on-a-chip applications. However, traditional magnetic controls require the particles to be manipulated being magnetizable, which renders it necessary to magnetically label particles that are almost exclusively diamagnetic in nature. In the past decade, magnetic fluids including paramagnetic solutions and ferrofluids have been increasingly used in microfluidic devices to implement label-free manipulations of various types of particles (both synthetic and biological). We review herein the recent advances in this field with focus upon the continuous-flow particle manipulations. Specifically, we review the reported studies on the negative magnetophoresis-induced deflection, focusing, enrichment, separation, and medium exchange of diamagnetic particles in the continuous flow of magnetic fluids through microchannels.

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Brownian dynamics simulations of ellipsoidal magnetizable particle suspensions

Cited by 7 publications

References 32 publications

Intrinsic viscosities of non-spherical colloids by Brownian dynamics simulations

Intrinsic viscosities of non-spherical colloids by Brownian dynamics simulations

Dynamics of magnetic nano-flake vortices in Newtonian fluids

Recent Advances in Continuous-Flow Particle Manipulations Using Magnetic Fluids

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