scholarly journals Observation of nonspherical particle behaviors for continuous shape-based separation using hydrodynamic filtration

2011 ◽  
Vol 5 (2) ◽  
pp. 024103 ◽  
Author(s):  
Sari Sugaya ◽  
Masumi Yamada ◽  
Minoru Seki
Keyword(s):  
Nonspherical Particle ◽  
Hydrodynamic Filtration

scholarly journals Remarkable simplicity in the prediction of nonspherical particle segregation

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Ryan P. Jones ◽  
Julio M. Ottino ◽  
Paul B. Umbanhowar ◽  
Richard M. Lueptow
Keyword(s):  
Particle Segregation ◽  
Nonspherical Particle

scholarly journals Approximate T matrix and optical properties of spheroidal particles to third order with respect to size parameter

2020 ◽  
Author(s):  
MRA Majić ◽  
L Pratley ◽  
D Schebarchov ◽  
Walter Somerville ◽  
Baptiste Auguié ◽  
...  
Keyword(s):  
Cross Sections ◽  
Electromagnetic Scattering ◽  
Taylor Expansion ◽  
Particle Surface ◽  
Size Parameter ◽  
Nonspherical Particle ◽  
Rayleigh Approximation ◽  
Boundary Condition Method ◽  
T Matrix ◽  
American Physical

© 2019 American Physical Society. In electromagnetic scattering, the so-called T matrix encompasses the optical response of a scatterer for any incident excitation and is most commonly defined using the basis of multipolar fields. It can therefore be viewed as a generalization of the concept of polarizability of the scatterer. We calculate here the series expansion of the T matrix for a spheroidal particle in the small-size, long-wavelength limit, up to third lowest order with respect to the size parameter, X, which we will define rigorously for a nonspherical particle. T is calculated from the standard extended boundary condition method with a linear system involving two infinite matrices P and Q, whose matrix elements are integrals on the particle surface. We show that the limiting form of the P and Q matrices, which is different in the special case of spheroid, ensures that this Taylor expansion can be obtained by considering only multipoles of order 3 or less (i.e., dipoles, quadrupoles, and octupoles). This allows us to obtain self-contained expressions for the Taylor expansion of T(X). The lowest order is O(X3) and equivalent to the quasistatic limit or Rayleigh approximation. Expressions to order O(X5) are obtained by Taylor expansion of the integrals in P and Q followed by matrix inversion. We then apply a radiative correction scheme, which makes the resulting expressions valid up to order O(X6). Orientation-averaged extinction, scattering, and absorption cross sections are then derived. All results are compared to the exact T-matrix predictions to confirm the validity of our expressions and assess their range of applicability. For a wavelength of 400 nm, the new approximation remains valid (within 1% error) up to particle dimensions of the order of 100-200 nm depending on the exact parameters (aspect ratio and material). These results provide a relatively simple and computationally friendly alternative to the standard T-matrix method for spheroidal particles smaller than the wavelength, in a size range much larger than for the commonly used Rayleigh approximation.

Shape evolution of a melting nonspherical particle

2015 ◽  
Vol 92 (3) ◽  
Author(s):  
Daniel M. Kintea ◽  
Tobias Hauk ◽  
Ilia V. Roisman ◽  
Cameron Tropea
Keyword(s):  
Shape Evolution ◽  
Nonspherical Particle

scholarly journals Blood Cell Classification Utilizing Hydrodynamic Filtration

2008 ◽  
Vol 128 (10) ◽  
pp. 396-401 ◽  
Author(s):  
Miyuki Matsuda ◽  
Masumi Yamada ◽  
Minoru Seki
Keyword(s):  
Blood Cell ◽  
Cell Classification ◽  
Hydrodynamic Filtration

scholarly journals Modeling Transport and Deposition Efficiency of Oblate and Prolate Nano- and Micro-particles in a Virtual Model of the Human Airway

2016 ◽  
Vol 138 (8) ◽  
Author(s):  
Elise Holmstedt ◽  
Hans O. Åkerstedt ◽  
T. Staffan Lundström ◽  
Sofie M. Högberg
Keyword(s):  
Aspect Ratio ◽  
Statistical Study ◽  
Human Lung ◽  
Reynolds Numbers ◽  
Deposition Efficiency ◽  
Small Particles ◽  
Nonspherical Particle ◽  
Micro Particles ◽  
Prolate Spheroids ◽  
Modeling Transport

A model for the motion and deposition of oblate and prolate spheroids in the nano- and microscale was developed. The aim was to mimic the environment of the human lung, but the model is general and can be applied for different flows and geometries for small nonspherical particle Stokes and Reynolds numbers. A study of the motion and orientation of a single oblate and prolate particle has been done yielding that Brownian motion disturbs the Jeffery orbits for small particles. Prolate microparticles still display distinguishable orbits while oblate particles of the same size do not. A statistical study was done comparing the deposition efficiencies of oblate and prolate spheroids of different size and aspect ratio observing that smaller particles have higher deposition rate for lower aspect ratio while larger particles have higher deposition rates for large aspect ratio.

Sign in / Sign up

Export Citation Format

Share Document