Skip to main content
SpringerLink
Log in

On the use of particle-wall interaction models to predict particle-laden flow in 90-deg bends

  • Research Article
  • Indoor/Outdoor Airflow and Air Quality
  • Published:
Building Simulation Aims and scope Submit manuscript

Abstract

The objective of this work is to evaluate the capability of different combinations of a turbulence model and a Lagrangian particle tracking (LPT) model integrating a particle-wall interaction (PWI) model to predict particle-laden flow in 90-deg bends, as well as the impact of the PWI model on the prediction of the referred flow. The experimental data from Kliafas and Holt (1987) (LDV measurements of a turbulent air-solid two-phase flow in a 90° bend. Experiments in Fluids, 5: 73-85) concerning a vertical to horizontal square-sectioned duct with a hydraulic diameter of 0.1 m that are connected by a 90-deg bend with a curvature ratio of 3.52, served as the benchmark for the aimed analysis. Air with glass spheres of 50 μm diameter flows in the experimental duct system with a Reynolds number of 3.47×105. The airflow was modelled by four different turbulence models: a low Reynolds number k-ε model, the SST k-ω model, the v2-f model, and the RSM SSG model. The particle-phase was modelled by a LPT formulation, and the particle-wall interaction was calculated using four different models: Brauer, Grant & Tabakoff, Matsumoto & Saito and Brach & Dunn PWI models. The 3D simulation results of mean streamwise velocities from the sixteen RANS-LPT/PWI combinations were compared qualitatively and quantitatively to experimental and numerical data available in the literature. The four turbulence models produced errors for the gas-phase in the order of 8%. Concerning the particle-phase, the errors produced by all RANS-LPT/PWI combinations were below 4% for bend angles up to 15° and up to 18% for bend angles higher than 30°. The best results for the particle-phase were obtained with the SST k-ω and v2-f model combined with the LPT/Brauer or LPT/Brach & Dunn PWI models, which produced errors inferior to 14%.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Berrouk AS, Laurence D (2008). Stochastic modelling of aerosol deposition for LES of 90° bend turbulent flow. International Journal of Heat and Fluid Flow, 29: 1010–1028.

    Google Scholar 

  • Brach RM, Dunn PF (1998). Models of rebound and capture for oblique microparticle impacts. Aerosol Science and Technology, 29: 379–388.

    Google Scholar 

  • Brauer H (1980). Report on investigations on particle movement in straight horizontal tubes, particle-wall collision and erosion of tubes and tube bends. Journal of Powder and Bulk Solids Technology, 4(2-3): 3–12.

    Google Scholar 

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

    Google Scholar 

  • Clift R, Grace JR, Weber ME (1978). Bubbles, Drops, and Particles. Londom: Academic Press.

    Google Scholar 

  • Crowe CT, Schwarzkopf JD, Sommerfeld M, Tsuji Y (2012). Multiphase Flows with Droplets and Particles. Boca Raton, USA: Taylor and Francis Group.

    Google Scholar 

  • Davidson L, Nielsen PV, Sveningsson A (2003). Modifications of the v2-f model for computing the flow in a 3D wall jet. In: Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer, Antalya, Turkey, pp. 577–584.

    Google Scholar 

  • Ferziger JH, Perić M (2002). Computational Methods for Fluid Dynamics. New York: Springer.

    MATH  Google Scholar 

  • Friedlander SK, Johnstone HF (1957). Deposition of suspended particles from turbulent gas streams. Industrial and Engineering Chemistry, 49: 1151–1156.

    Google Scholar 

  • Gao R, Chen S, Zhao J, Zhang Y, Li A (2016). Coupling effect of ventilation duct bend with different shapes and sizes. Building Simulation, 9: 311–318.

    Google Scholar 

  • Gosman AD, Ioannides E (1983). Aspects of computer simulation of liquid-fueled combustors. Journal of Energy, 7: 482–490.

    Google Scholar 

  • Grant G, Tabakoff W (1975). Erosion prediction in turbomachinery resulting from environmental solid particles. Journal of Aircraft, 12: 471–478.

    Google Scholar 

  • Greenshields CJ (2018). OpenFOAM User Guide version 6. London: OpenFOAM Foundation Ltd.

    Google Scholar 

  • Issa RI (1986). Solution of the implicitly discretised fluid flow equations by operator-splitting. Journal of Computational Physics, 62: 40–65.

    MathSciNet  MATH  Google Scholar 

  • Jones WP, Launder BE (1972). The prediction of laminarization with a two-equation model of turbulence. International Journal of Heat and Mass Transfer, 15: 301–314.

    Google Scholar 

  • Jones WP, Musonge P (1988). Closure of the Reynolds stress and scalar flux equations. Physics of Fluids, 31: 3589–3604.

    MathSciNet  MATH  Google Scholar 

  • Kliafas Y, Holt M (1987). LDV measurements of a turbulent air-solid two-phase flow in a 90° bend. Experiments in Fluids, 5: 73–85.

    Google Scholar 

  • Kori J, Pratibha (2019a). Effect of periodic permeability of lung tissue on fluid velocity and nonspherical nanoparticle filtration. International Journal of Applied and Computational Mathematics, 5: 49.

    MathSciNet  MATH  Google Scholar 

  • Kori J, Pratibha (2019b). Numerical simulation of dusty air flow and particle deposition inside permeable alveolar duct. International Journal of Applied and Computational Mathematics, 5: 17.

    MathSciNet  MATH  Google Scholar 

  • Kuan B, Yang W, Schwarz MP (2007). Dilute gas-solid two-phase flows in a curved 90° duct bend: CFD simulation with experimental validation. Chemical Engineering Science, 62: 2068–2088.

    Google Scholar 

  • Launder BE, Sharma BI (1974). Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning disc. Letters in Heat and Mass Transfer, 1: 131–137.

    Google Scholar 

  • Loth E (2000). Numerical approaches for motion of dispersed particles, droplets and bubbles. Progress in Energy and Combustion Science, 26: 161–223.

    Google Scholar 

  • Lu H, Wang Y (2019). Particle deposition in ventilation ducts: A review. Building Simulation, 12: 723–734.

    Google Scholar 

  • Matsumoto S, Saito S (1970). Monte Carlo simulation of horizontal pneumatic conveying based on the rough wall model. Journal of Chemical Engineering of Japan, 3: 223–230.

    Google Scholar 

  • McFarland AR, Gong H, Muyshondt A, Wente WB, Anand NK (1997). Aerosol deposition in bends with turbulent flow. Environmental Science and Technology, 31: 3371–3377.

    Google Scholar 

  • Mei R (1992). An approximate expression for the shear lift force on a spherical particle at finite Reynolds number. International Journal of Multiphase Flow, 18: 145–147.

    MATH  Google Scholar 

  • Menter FR, Langtry R, Volker S (2006). Transition modelling for general purpose CFD codes. Flow, Turbulence and Combustion, 77: 277–303.

    MATH  Google Scholar 

  • Miguel AF, Reis AH, Aydin M (2004). Aerosol particle deposition and distribution in bifurcating ventilation ducts. Journal of Hazardous Materials, 116: 249–255.

    Google Scholar 

  • Mohanarangam K, Tian ZF, Tu JY (2008). Numerical simulation of turbulent gas-particle flow in a 90° bend: Eulerian-Eulerian approach. Computers and Chemical Engineering, 32: 561–571.

    Google Scholar 

  • Naik S, Bryden IG (1999). Prediction of turbulent gas-solids flow in curved ducts using the Eulerian-Lagrangian method. International Journal for Numerical Methods in Fluids, 31: 579–600.

    MATH  Google Scholar 

  • Njobuenwu DO, Fairweather M, Yao J (2013). Coupled RANS-LPT modelling of dilute, particle-laden flow in a duct with a 90° bend. International Journal of Multiphase Flow, 50: 71–88.

    Google Scholar 

  • Peters TM, Leith D (2004). Particle deposition in industrial duct bends. Annals of Occupational Hygiene, 48: 483–490.

    Google Scholar 

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

    Google Scholar 

  • Putnam, A (1961). Integrable form of droplet drag coefficient. American Rocket Society Journal, 31: 1467–1468.

    Google Scholar 

  • Roache PJ (1997). Quantification of uncertainty in computational fluid dynamics. Annual Review of Fluid Mechanics, 29: 123–160.

    MathSciNet  Google Scholar 

  • Saffman PG (1965). The lift on a small sphere in a slow shear flow. Journal of Fluid Mechanics, 22: 385–400.

    MATH  Google Scholar 

  • Saric WS (1994). Gortler vortices. Annual Review of Fluid Mechanics, 26: 379–409.

    MATH  Google Scholar 

  • Shih T-H, Liou WW, Shabbir A, Yang Z, Zhu J (1995). A new k-ε eddy viscosity model for high Reynolds number turbulent flows. Computers and Fluids, 24: 227–238.

    MATH  Google Scholar 

  • Sippola MR, Nazaroff WW (2005). Particle deposition in ventilation ducts: connectors, bends and developing turbulent flow. Aerosol Science and Technology, 39: 139–150.

    Google Scholar 

  • Sommerfeld M (1992). Modelling of particle-wall collisions in confined gas-particle flows. International Journal of Multiphase Flow, 18: 905–926.

    MATH  Google Scholar 

  • Sommerfeld M, Huber N (1999). Experimental analysis and modelling of particle-wall collisions. International Journal of Multiphase Flow, 25: 1457–1489.

    MATH  Google Scholar 

  • Speziale CG, Sarkar S, Gatski TB (1991). Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach. Journal of Fluid Mechanics, 227: 245–272.

    MATH  Google Scholar 

  • Sun K, Lu L, Jiang H (2011). A computational investigation of particle distribution and deposition in a 90° bend incorporating a particle-wall model. Building and Environment, 46: 1251–1262.

    Google Scholar 

  • Sun K, Lu L, Jiang H (2012). A numerical study of bend-induced particle deposition in and behind duct bends. Building and Environment, 52: 77–87.

    Google Scholar 

  • Tian ZF, Inthavong K, Tu JY, Yeoh GH (2008). Numerical investigation into the effects of wall roughness on a gas-particle flow in a 90° bend. International Journal of Heat and Mass Transfer, 51: 1238–1250.

    MATH  Google Scholar 

  • Tu JY, Fletcher CAJ (1995). Numerical computation of turbulent gas-solid particle flow in a 90° bend. American Institute of Chemical Engineers Journal, 41: 2187–2197.

    Google Scholar 

  • Versteeg HK, Malalasekera W (2007). An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Harlow, UK: Pearson Education Limited.

    Google Scholar 

  • Yakhot V, Orszag SA (1986). Renormalization group analysis of turbulence. I. Basic theory. Journal of Scientific Computing, 1: 3–51.

    MathSciNet  MATH  Google Scholar 

  • Yakhot V, Orszag SA, Thangam S, Gatski TB, Speziale CG (1992). Development of turbulence models for shear flows by a double expansion technique. Physics of Fluids A: Fluid Dynamics, 4: 1510–1520.

    MathSciNet  MATH  Google Scholar 

  • Zaichik LI, Drobyshevsky NI, Filippov AS, Mukin RV, Strizhov VF (2010). A diffusion-inertia model for predicting dispersion and deposition of low-inertia particles in turbulent flows. International Journal of Heat and Mass Transfer, 53: 154–162.

    MATH  Google Scholar 

  • Zamani M, Seddighi S, Nazif HR (2017). Erosion of natural gas elbows due to rotating particles in turbulent gas-solid flow. Journal of Natural Gas Science and Engineering, 40: 91–113.

    Google Scholar 

  • Zhang P, Roberts RM, Benard A (2012). Computational guidelines and an empirical model for particle deposition in curved pipes using an Eulerian-Lagrangian approach. Journal of Aerosol Science, 53: 1–20.

    Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge Fundacao Araucaria (FA) and the Coordination for the Improvement of Higher Education Personnel (CAPES) for the scholarship provided to the first author. Also, the author Mariani would like to thank National Council of Scientific and Technologic Development of Brazil - CNPq (Grants number: 303906/2015-4-PQ, 405101/2016-3-Univ) and Fundacao Araucaria by PRONEX Grant 042/2018 for its financial support of this work.

Author information

Authors and Affiliations

  1. Pontifical Catholic University of Parana, PPGEM, Curitiba, Brazil

    Marcos Batistella Lopes & Viviana Cocco Mariani

  2. Federal University of Parana, Department of Electrical Engineering, Curitiba, Brazil

    Viviana Cocco Mariani

  3. CESI Engineering School, LINEACT, Lagord, France

    Kátia Cordeiro Mendonça

  4. University of La Rochelle, LaSIE UMR 7356 CNRS, La Rochelle, France

    Claudine Béghein

Authors
  1. Marcos Batistella Lopes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Viviana Cocco Mariani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kátia Cordeiro Mendonça
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Claudine Béghein
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Viviana Cocco Mariani.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lopes, M.B., Mariani, V.C., Mendonça, K.C. et al. On the use of particle-wall interaction models to predict particle-laden flow in 90-deg bends. Build. Simul. 13, 913–929 (2020). https://doi.org/10.1007/s12273-020-0628-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12273-020-0628-z

Keywords

Search

Navigation