Skip to main content
Log in

Aerosol Deposition in 90° Circular Tube Bends with Laminar Flows: Effects of Inertial Impaction and Gravitational Settling

  • Published:
Aerosol Science and Engineering Aims and scope Submit manuscript

Abstract

As studied by many authors, the behavior of particles in aerosol flow through bent tubes is relevant to a variety of technological developments for practical applications. The present work is no exception, motivated by the need of understanding ink droplet loss during mist transport in Aerosol Jet® printing. While the majority of works in the literature have considered particle deposition in tube bends with the tube-flow Reynolds number Re > 1000, the mist flow in transport channels of Aerosol Jet® printer often has Re < 100. Here, the effects of inertial impaction and gravitational settling with laminar flows in 90° bends are examined using an OpenFOAM® CFD package, for Re ~ 50 to 1000. The computational code is verified by comparing with the experimental result of Pui et al. for Re = 1000. Besides inertial impaction due to the centrifugal forces in bends, the effect of gravitational settling is shown to become increasingly significant with reduction of tube-flow velocity, which can also be quite sensitive to the bend orientation when the mist flow rate is low. For situations of downward bend or upward inlet, where the gravitational force and centrifugal force oppose each other, the effect of gravitational settling appears relatively insignificant. However, the particle deposition efficiency is generally enhanced in upward bends or bends with downward inlet, where the gravitational force and centrifugal force reinforce each other, exhibiting large deviations from the zero-g case, especially at lower flow velocities (i.e., smaller Froude number).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Balashazy I, Martonen TB, Hofmann W (1990) Simultaneous sedimentation and impaction of aerosols in two-dimensional channel bends. Aerosol Sci Technol 13(1):20–34

    Article  Google Scholar 

  • Baliff J, Greenburg L, Stern AC (1948) Transport velocities for industrial ducts. Am Ind Hyg Assoc Q 9:85–88

    Google Scholar 

  • Breuer HT, Baytekin M, Matida EA (2006) Prediction of aerosol deposition in 90° bends using LES and an efficient Lagrangian tracking method. J Aerosol Sci 37:1407–1428

    Article  Google Scholar 

  • Brockmann JE (2001) Sampling and transport of aerosol. In: Baron PA, Willeke K (eds) Aerosol measurement: principles, techniques, and applications, 2nd edn. Van Nostrand Reinhold, New York

    Google Scholar 

  • Cheng YS, Wang CS (1975) Inertial deposition of particles in a bend. J Aerosol Sci 6(2):139–145

    Article  Google Scholar 

  • Cheng YS, Wang CS (1981) Motion of particles in bends of circular pipes. Atmos Environ 15(3):301–306

    Article  Google Scholar 

  • Christenson KK., Paulsen JA, Renn MJ, McDonald K, Bourassa J (2011) Direct printing of circuit boards using Aerosol Jet®. In: Proceedings of NIP 27 digital Fabrication, pp 433–436

  • Colombo P, Traini D, Buttini F (2013) Inhalation drug delivery: techniques and products. Wiley, Chichester

    Book  Google Scholar 

  • Crane RI, Evans RL (1977) Inertial deposition of particles in a bend pipe. J Aerosol Sci 8(3):161–170

    Article  Google Scholar 

  • Dean WR (1927) Note on the motion of fluid in a curved pipe. Philos Mag 4(20):208–223

    Article  Google Scholar 

  • Dean WR (1928) The streamline motion of fluid in a curved pipe. Philos Mag 5(30):673–695

    Article  Google Scholar 

  • Feng JQ (2017) A computational study of particle deposition patterns from a circular laminar jet. J Appl Fluid Mech 10(4):1001–1012

    Article  Google Scholar 

  • Feng JQ (2018) Multiphase flow analysis of mist transport behavior in Aerosol Jet® systems. Int J Comput Methods Exp Meas 6(1):23–34

    Google Scholar 

  • Feng JQ, Renn MJ (2019) Aerosol Jet® direct-write for microscale additive manufacturing. J Micro- Nano-Manuf 7(1):011004

    Article  Google Scholar 

  • Feng JQ, Loveland A, Renn MJ (2021) Aerosol Jet® direct writing polymer-thick-film resistors for printed electronics. SMTA J 34(1):24–31

    Article  Google Scholar 

  • Ferron GA, Karg E, Peter JE (1993) Estimation of deposition of polydisperse hygroscopic aerosols in the human respiratory tract. J Aerosol Sci 24(5):655–670

    Article  Google Scholar 

  • Germann B, Ramm A, Herault F, Hamre J, Feng J (2022) Aerosol jet printed interconnects for millimeter-wave components. J Surf Mt Technol 35(2). (in press)

  • Hedges M, King B, Renn M (2007) Direct writing for advanced electronics packaging. www.onboard-technology.com/pdf_giugno2007/060706.pdf

  • Inthavong K (2019) A unifying correlation for laminar particle deposition in 90-degree pipe bends. Powder Technol 345:99–110

    Article  Google Scholar 

  • Johnston JR, Muir DCF (1973) Inertial deposition of particles in the lung. Aerosol Sci 4:269–270

    Article  Google Scholar 

  • Johnston JR, Isles K, Muir DCF (1977) Inertial deposition of particles in human branching airways. In: Walton WH (ed) Inhaled particles IV. Pergamon Press, p 61–72

  • Kahn BE (2007) The M3D aerosol jet system, an alternative to inkjet printing for printed electronics. Org Printed Electron 1:14–17

    Google Scholar 

  • Liu BYH, Pui DYH (1981) Aerosol sampling inlets and inhalable particles. Atmos Environ 15(4):589–600

    Article  Google Scholar 

  • Miller CJ (2009) Chapter 192: Aerosolized medications. In: Silverstein DC, Hopper K (eds) Small animal crtical care medicine. Elsevier, Amsterdam, pp 814–817

    Chapter  Google Scholar 

  • Newman SP (2017) Drug delivery to the lungs: challenges and opportunities. Ther Deliv 8(8):647–661

    Article  Google Scholar 

  • Nicolaou L, Zaki TA (2016) Characterization of aerosol Stokes number in 90° bends and idealized extrathoracic airways. J Aerosol Sci 102:105–127

    Article  Google Scholar 

  • Paulsen JA, Renn M, Christenson K, Plourde R (2012) Printing conformal electronics on 3D structures with Aerosol Jet technology. In: Proceeding of future of instrumentation international workshop (FIIW)

  • Peters TM, Leith D (2004) Particle deposition in industrial duct bends. Ann Occup Hyg 48(5):483–490

    Google Scholar 

  • Pilou M, Tsangaris S, Neofytou P, Housiadas C, Drossinos Y (2011) Inertial particle deposition in a 90° laminar flow bend: an Eulerian fluid particle approach. Aerosol Sci Technol 45(11):1376–1387

    Article  Google Scholar 

  • Pui DYH, Romay-Novas F, Liu BYH (1987) Experimental study of particle deposition in bends of circular cross section. Aerosol Sci Technol 7(3):301–315

    Article  Google Scholar 

  • Renn MJ, Schrandt M, Renn J, Feng JQ (2017) Localized laser sintering of metal nanoparticle inks printed with Aerosol Jet® technology for flexible electronics. J Microelectr Electron Pack 14:132–139

    Article  Google Scholar 

  • Rajahns GS, Thompkins RW (1967) Critical velocities of mineral dusts. Can Min J 88(Oct):85–88

    Google Scholar 

  • Tsai C-J, Pui DYH (1990) Numerical study of particle deposition in bends of a circular cross-section-laminar flow regime. Aerosol Sci Technol 12(4):813–831

    Article  Google Scholar 

  • Von der Weiden S-L, Drewnick F, Borrmann S (2009) Partical loss calculator—a new software tool for the assessment of the performance of aerosol inlet systems. Atmos Meas Tech 2:479–494

    Article  Google Scholar 

  • Weibel ER (1963) Morphometry of the human lung. Springer, Berlin

    Book  Google Scholar 

  • Weibel ER (2017) Lung morphometry: the link between structure and function. Cell Tissue Res 367(3):413–426

    Article  Google Scholar 

  • Wilkinson NJ, Smith MAA, Kay RW, Harris RA (2019) A review of aerosol jet printing—a non-tranditional hybrid process for micro-manufacturing. Int J Adv Manuf Technol. https://doi.org/10.1007/s00170-019-03438-2

    Article  Google Scholar 

  • Zollmer V, Muller M, Renn M, Busse M, Wirth I, Godlinski D, Kardos M (2006) Printing with aerosols: a maskless deposition technique allows high definition printing of a variety of functional materials. Euro Coat J 07–08:46–55

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to James Q. Feng.

Ethics declarations

Conflict of interest

This author has no conflict of interests to declare.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Feng, J.Q. Aerosol Deposition in 90° Circular Tube Bends with Laminar Flows: Effects of Inertial Impaction and Gravitational Settling. Aerosol Sci Eng 7, 107–117 (2023). https://doi.org/10.1007/s41810-022-00166-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s41810-022-00166-1

Keywords

Navigation