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.
Issue Section:
Fundamental Issues and Canonical Flows
References
1.
Zhang
, Z.
, Kleinstreuer
, C.
, and Kim
, J. C. S.
, 2001
, “Flow Structure and Particle Transport in a Triple Bifurcation Airway Model
,” ASME J. Fluids Eng.
, 123
(2
), pp. 320
–330
.2.
Högberg
, S.
, Åkerstedt
, H.
, Holmstedt
, E.
, Lundström
, T.
, and Sandström
, T.
, 2012
, “Time-Dependent Deposition of Micro- and Nanofibers in Straight Model Airways
,” ASME J. Fluids Eng.
, 134
(5
), p. 051208
.3.
Svoboda
, K.
, Pohořelý
, M.
, Hartman
, M.
, and Martinec
, J.
, 2009
, “Pretreatment and Feeding of Biomass for Pressurized Entrained Flow Gasification
,” Fuel Process. Technol.
, 90
(5
), pp. 629
–635
.4.
Teaters
, L. C.
, and Battaglia
, F.
, 2014
, “On the Computational Modeling of Unfluidized and Fluidized Bed Dynamics
,” ASME J. Fluids Eng.
, 136
(10
), p. 104501
.5.
Högberg
, S.
, and Lundström
, T.
, 2011
, “Motion of Dispersed Carbon Nanotubes During Impregnation of Fabrics
,” Plast., Rubber Compos.
, 40
(2
), pp. 70
–79
.6.
Lundström
, T.
, and Frishfelds
, V.
, 2013
. “Modeling Filtration of Particulate Flow During Impregnation of Dual-Scale Fabrics
,” J. Compos. Mater.
, 47
(15
), pp. 1907
–1915
.7.
Carlsson
, A.
, Lundell
, F.
, and Söderberg
, L. D.
, 2006
, “Fiber Orientation Control Related to Papermaking
,” ASME J. Fluids Eng.
, 129
(4
), pp. 457
–465
.8.
Vakil
, A.
, and Green
, S. I.
, 2013
, “Numerical Study of Two-Dimensional Circular Cylinders in Tandem at Moderate Reynolds Numbers
,” ASME J. Fluids Eng.
, 135
(7
), p. 071204
.9.
Feng
, Y.
, and Kleinstreuer
, C.
, 2013
, “Analysis of Non-Spherical Particle Transport in Complex Internal Shear Flows
,” Phys. Fluids
, 25
(9
), p. 091904
.10.
Kleinstreuer
, C.
, and Feng
, Y.
, 2013
, “Computational Analysis of Non-Spherical Particle Transport and Deposition in Shear Flow With Application to Lung Aerosol Dynamics—A Review
,” ASME J. Biochem. Eng.
, 135
(2
), p. 021008
.11.
Dastan
, A.
, Abouali
, O.
, and Ahmadi
, G.
, 2014
, “CFD Simulation of Total and Regional Fiber Deposition in Human Nasal Cavities
,” J. Aerosol Sci.
, 69
, pp. 132
–149
.12.
Poland
, C. A.
, Duffin
, R.
, Kinloch
, I.
, Maynard
, A.
, Wallace
, W. A. H.
, Seaton
, A.
, Stone
, V.
, Brown
, S.
, MacNee
, W.
, and Donaldson
, K.
, 2008
, “Carbon Nanotubes Introduced Into the Abdominal Cavity of Mice Show Asbestos-Like Pathogenicity in a Pilot Study
,” Nat. Nanotechnol.
, 3
(7
), pp. 423
–438
.13.
Cauchois
, O.
, Segura-Sanchezb
, F.
, and Ponchela
, G.
, 2013
, “Molecular Weight Controls the Elongation of Oblate-Shaped Degradable Poly(γ-Benzyl-l-Glutamate)Nanoparticles
,” Int. J. Pharm.
, 452
(1–2
), pp. 292
–299
.14.
Champion
, J. A.
, Katare
, Y. K.
, and Mitragotri
, S.
, 2007
, “Particle Shape: A New Design Parameter for Micro- and Nanoscale Drug Delivery Carriers
,” J. Controlled Release
, 121
(1–2), pp. 3
–9
.15.
Verrelli
, D. I.
, 2014
, “Convenient Formulae for the Drag on a Prolate Ellipsoid Moving Along Its Axis of Symmetry Perpendicular to a Plane Surface
,” Int. J. Multiphase Flow
, 65
, pp. 138
–142
.16.
Risken
, H.
, 1996
, The Fokker-Planck Equation
, Springer
, Berlin
.17.
Högberg
, S. M.
, Åkerstedt
, H. O.
, Lundström
, T. S.
, and Freund
, J. F.
, 2010
, “Respiratory Deposition of Fibers in the Non-Inertial Regime: Development and Application of a Semi-Analytical Model
,” Aerosol Sci. Technol.
, 44
(10
), pp. 847
–860
.18.
Åkerstedt
, H. O.
, Högberg
, S. M.
, Lundström
, T. S.
, and Sandström
, T.
, 2010
, “The Effect of Cartilaginous Rings on Particle Deposition by Convection and Brownian Diffusion
,” Nat. Sci.
, 2
(7
), pp. 769
–779
.19.
Åkerstedt
, H. O.
, Högberg
, S. M.
, and Lundstrom
, T. S.
, 2013
, “An Asymptotic Approach of Brownian Deposition of Nanofibres in Pipe Flow
,” Theory Comput. Fluid Dyn.
, 27
(5
), pp. 561
–575
.20.
Asgharian
, B.
, Yu
, C. P.
, and Gradon
, L.
, 1988
, “Diffusion of Fibers in Tubular Flow
,” Aerosol Sci. Technol.
, 9
(3
), pp. 213
–219
.21.
Happel
, J.
, and Brenner
, H.
, 1983
, Low Reynolds Number Hydrodynamics
, Springer
, The Netherlands
.22.
Dahneke
, B. E.
, 1973
, “Slip Correction Factors for Nonspherical Bodies—I. Introduction and Continuum Flow
,” J. Aerosol Sci.
, 4
(2
), pp. 139
–145
.23.
Jeffery
, G. B.
, 1922
, “The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid
,” Proc. R. Soc. London
, 102
(175
), pp. 161
–179
.24.
Dahneke
, B. E.
, 1973
, “Slip Correction Factors for Nonspherical Flow—II. Free Molecule Flow
,” J. Aerosol Sci.
, 4
(2
), pp. 147
–161
.25.
Grassia
, P. S.
, Hinch
, E. J.
, and Nintsche
, L. C.
, 1995
, “Computer Simulations of Brownian Motion of Complex Systems
,” J. Fluid Mech.
, 282
, pp. 373
–403
.26.
Weibel
, E. R.
, 1963
, Morphometry of the Human Lung
, Springer
, Berlin
.27.
Walters
, D. K.
, Burgreen
, G. W.
, Hester
, R. L.
, Thompson
, D. S.
, Lavallee
, D. M.
, Pruett
, W. A.
, and Wang
, X.
, 2014
, “Cyclic Breathing Simulations in Large-Scale Models of the Lung Airway From the Oronasal Opening to the Terminal Bronchioles
,” ASME J. Fluids Eng.
, 136
(10
), p. 101101
.28.
Högberg
, S. M.
, Åkerstedt
, H. O.
, and Lundström
, T.
, 2007
, “Nanoparticle Transport and Deposition in Human Lung
,” Interdisciplinary Transport Phenomena V: Fluid, Thermal, Biological Materials and Space Sciences
, Bansko, Bulgaria Paper No: ITP-07-17.Copyright © 2016 by ASME
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