Dissipative particle dynamics simulation of circular and elliptical particles motion in 2D laminar shear flow

The dissipative particle dynamics (DPD) method is a relatively new computational method for modeling the dynamics of particles in laminar flows at the mesoscale. In this study, we use the DPD approach to model the motion of circular and elliptical particles in a 2D shear laminar flow. Three examples are considered: (i) evaluation of the drag force exerted on a circular particle moving in a stagnant fluid, (ii) rotation of an elliptical particle around its center in a shear flow, and (iii) motion of an ellipsoidal particle in a linear shear flow. For all cases, we found a good agreement with theoretical and finite element solutions available. These results show that the DPD method can effectively be applied to model motion of micro/nano-particles at the mesoscale. The method proposed can be used to predict the performances of intravascularly administered particles for drug delivery and biomedical imaging.

[1]  G. B. Jeffery The motion of ellipsoidal particles immersed in a viscous fluid , 1922 .

[2]  Allen T. Chwang,et al.  Hydromechanics of low-Reynolds-number flow. Part 4. Translation of spheroids , 1976, Journal of Fluid Mechanics.

[3]  T. Y. Wu,et al.  Hydromechanics of low-Reynolds-number flow. Part 5. Motion of a slender torus , 1979, Journal of Fluid Mechanics.

[4]  B. Fornberg A numerical study of steady viscous flow past a circular cylinder , 1980, Journal of Fluid Mechanics.

[5]  J. Koelman,et al.  Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics , 1992 .

[6]  J. Kreuter,et al.  Colloidal Drug Delivery Systems , 1994 .

[7]  P. Español,et al.  Statistical Mechanics of Dissipative Particle Dynamics. , 1995 .

[8]  Sedimentation of spheroidal particles in a vertical shear flow near a wall , 1996 .

[9]  M. Shapiro,et al.  Particles in a shear flow near a solid wall : Effect of nonsphericity on forces and velocities , 1997 .

[10]  P. B. Warren,et al.  DISSIPATIVE PARTICLE DYNAMICS : BRIDGING THE GAP BETWEEN ATOMISTIC AND MESOSCOPIC SIMULATION , 1997 .

[11]  M. Shapiro,et al.  Motion of inertial spheroidal particles in a shear flow near a solid wall with special application to aerosol transport in microgravity , 1998, Journal of Fluid Mechanics.

[12]  R. Duncan The dawning era of polymer therapeutics , 2003, Nature Reviews Drug Discovery.

[13]  Robert Langer,et al.  Small-scale systems for in vivo drug delivery , 2003, Nature Biotechnology.

[14]  M. Ferrari,et al.  Microfabrication of Silicon-Based Nanoporous Particulates for Medical Applications , 2003 .

[15]  Lucy T. Zhang,et al.  Immersed finite element method , 2004 .

[16]  A. Polman,et al.  Shaping colloidal assemblies , 2004 .

[17]  Mauro Ferrari,et al.  Adhesion of Microfabricated Particles on Vascular Endothelium: A Parametric Analysis , 2004, Annals of Biomedical Engineering.

[18]  M. Ferrari,et al.  A Theoretical Model for the Margination of Particles within Blood Vessels , 2005, Annals of Biomedical Engineering.

[19]  M. Ferrari Cancer nanotechnology: opportunities and challenges , 2005, Nature Reviews Cancer.

[20]  Thommey P. Thomas,et al.  Synthesis and functional evaluation of DNA-assembled polyamidoamine dendrimer clusters for cancer cell-specific targeting. , 2005, Chemistry & biology.

[21]  Joseph M DeSimone,et al.  Direct fabrication and harvesting of monodisperse, shape-specific nanobiomaterials. , 2005, Journal of the American Chemical Society.

[22]  Dissipative particle dynamics simulation of flow generated by two rotating concentric cylinders: boundary conditions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  M Ferrari,et al.  The adhesive strength of non-spherical particles mediated by specific interactions. , 2006, Biomaterials.

[24]  O. Diekmann,et al.  Comment on "Linking population-level models with growing networks: a class of epidemic models". , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Dissipative particle dynamics simulation of flow generated by two rotating concentric cylinders: II. Lateral dissipative and random forces , 2008 .

[26]  Sei-Young Lee,et al.  Shaping nano-/micro-particles for enhanced vascular interaction in laminar flows , 2009, Nanotechnology.

[27]  M. Ivanovic,et al.  A comparative numerical study between dissipative particle dynamics and smoothed particle hydrodynamics when applied to simple unsteady flows in microfluidics , 2009 .

[28]  M Ferrari,et al.  Size and shape effects in the biodistribution of intravascularly injected particles. , 2010, Journal of controlled release : official journal of the Controlled Release Society.