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DNS of an Oblique Jet in a Particle-Laden Crossflow: Study of Solid Phase Preferential Concentration and Particle-Wall Interaction

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Abstract

A DNS study of the interaction between an oblique laminar jet and a particle-laden crossflow is presented. The delivery tube is included in the simulation and jet in crossflow blowing ratio is set equal to 0.5, typical for gas turbine film cooling applications. The solid phase is polydisperse and it is simulated by adopting a Lagrangian two-way coupling point-particle approach. Wall-particle interaction is also taken into account. The fluid flow in the jet outflow region was found to be dominated by a strong vorticity field and by hairpin shaped vortices that are shed periodically in the crossflow. Hairpin legs are associated to a counter-rotating vortex pair that persist in the far-field of the jet. The spatial distribution of the dispersed phase is strongly influenced by these large-scale coherent structures. A three-dimensional Voronoi analysis demonstrated a particle preferential concentration induced by hairpin vortices downstream from the jet exit. Volume fractions curves are presented as a function of the spanwise direction for different transversal sections of the crossflow region. A void particle region is induced by vortices in the central near-wall zone downstream of the jet exit. Particles tend to accumulate along two symmetric regions placed on the lateral side of the structures generated by the jet injection. By an analysis of particle impacts on the wall it was observed that particles characterized by lower values of the \({\textit{St}}\) number, whose response time is comparable with the characteristic time of the hairpin vortices, tend to impact on the wall on two symmetric side of the jet exit in the proximity of hairpin legs. This demonstrated that the generated large-scale coherent structures play a major role in the not homogeneous dispersion of the solid phase.

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References

  • Acarlar, M.S., Smith, C.R.: A study of hairpin vortices in a laminar boundary layer. Part 2. Hairpin vortices generated by fluid injection. J. Fluid Mech. 175, 43–83 (1987)

    Article  Google Scholar 

  • Acharya, S., Tyagi, M., Hoda, A.: Flow and heat transfer predictions for film cooling. Ann. N. Y. Acad. Sci. 934, 110–125 (2001)

    Article  Google Scholar 

  • Agati, G., Borello, D., Rispoli, F., Venturini, P.: An innovative approach to model temperature influence on particle deposition in gas turbines. In: ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition, pp. V05CT12A012–V05CT12A012. American Society of Mechanical Engineers (2016)

  • Bons, J.P., Crosby, J., Wammack, J.E., Bentley, B.I., Fletcher, T.H.: High-pressure turbine deposition in land-based gas turbines from various synfuels. J. Eng. Gas Turbines Power 129(1), 135–143 (2007)

    Article  Google Scholar 

  • Borello, D., Rispoli, F., Venturini, P.: An integrated particle-tracking impact/adhesion model for the prediction of fouling in a subsonic compressor. J. Eng. Gas Turbines Power 134(9), 092,002 (2012)

    Article  Google Scholar 

  • Camerlengo, G., Borello, D., Salvagni, A., Sesterhenn, J.: DNS study of dust particle resuspension in a fusion reactor induced by a transonic jet into vacuum. Flow Turbul. Combust. 101(1), 247–267 (2018)

    Article  Google Scholar 

  • Campolo, M., Salvetti, M.V., Soldati, A.: Mechanisms for microparticle dispersion in a jet in crossflow. AIChE J. 51(1), 28–43 (2004)

    Article  Google Scholar 

  • Castorrini, A., Venturini, P., Corsini, A., Rispoli, F.: Numerical simulation of the blade aging process in an induced draft fan due to long time exposition to fly ash particles. J. Eng. Gas Turbines Power 141(1), 011,025 (2019)

    Article  Google Scholar 

  • Ferenc, J.S., Néda, Z.: On the size distribution of Poisson Voronoi cells. Phys. A Stat. Mech. Appl. 385(2), 518–526 (2007)

    Article  Google Scholar 

  • Fric, T., Roshko, A.: Vortical structure in the wake of a transverse jet. J. Fluid Mech. 279, 1–47 (1994)

    Article  Google Scholar 

  • Garcia-Villalba, M., Kidanemariam, A.G., Uhlmann, M.: DNS of vertical plane channel flow with finite-size particles: Voronoi analysis, acceleration statistics and particle-conditioned averaging. Int. J. Multiphase Flow 46, 54–74 (2012)

    Article  Google Scholar 

  • Kelso, R., Smits, A.: Horseshoe vortex systems resulting from the interaction between a laminar boundary layer and a transverse jet. Phys. Fluids 7(1), 153–158 (1995)

    Article  Google Scholar 

  • Lakshminarayana, B.: Fluid Dynamics and Heat Transfer of Turbomachinery. Wiley, New York (1995)

    Book  Google Scholar 

  • Lawson, S., Thole, K.: Effects of simulated particle deposition on film cooling. J. Turbomach. 133(2), 021,009 (2011)

    Article  Google Scholar 

  • Lefebvre, A.H., Ballal, D.R.: Gas Turbine Combustion: Alternative Fuels and Emissions. CRC Press, Boca Raton (2010)

    Book  Google Scholar 

  • Mahesh, K.: The interaction of jets with crossflow. Ann. Rev. Fluid Mech. 45, 379–407 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  • Maxey, M.R., Riley, J.J.: Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26(4), 883–889 (1983)

    Article  MATH  Google Scholar 

  • Monchaux, R., Bourgoin, M., Cartellier, A.: Preferential concentration of heavy particles: a Voronoï analysis. Phys. Fluids 22(10), 103,304 (2010)

    Article  Google Scholar 

  • Muppidi, S., Mahesh, K.: Study of trajectories of jets in crossflow using direct numerical simulations. J. Fluid Mech. 530, 81–100 (2005)

    Article  MATH  Google Scholar 

  • Prevel, M., Vinkovic, I., Doppler, D., Pera, C., Buffat, M.: Direct numerical simulation of particle transport by hairpin vortices in a laminar boundary layer. Int. J. Heat Fluid Flow 43, 2–14 (2013)

    Article  Google Scholar 

  • Reiss, J., Sesterhenn, J.: A conservative, skew-symmetric finite difference scheme for the compressible Navier–Stokes equations. Comput. Fluids 101, 208–219 (2014)

    Article  MATH  MathSciNet  Google Scholar 

  • Rycroft, C.H.: Voro++: a three-dimensional Voronoi cell library in c++. Chaos Interdiscip. J. Nonlinear Sci. 19(4), 041,111 (2009)

    Article  Google Scholar 

  • Sau, R., Mahesh, K.: Dynamics and mixing of vortex rings in crossflow. J. Fluid Mech. 604, 389–409 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  • Schäfer, F., Breuer, M.: Comparison of c-space and p-space particle tracing schemes on high-performance computers: accuracy and performance. Int. J. Numer. Methods Fluids 39(4), 277–299 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  • Schulze, J., Sesterhenn, J.: Optimal distribution of porous media to reduce trailing edge noise. Comput. Fluids 78, 41–53 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  • Smith, S., Mungal, M.: Mixing, structure and scaling of the jet in crossflow. J. Fluid Mech. 357, 83–122 (1998)

    Article  Google Scholar 

  • Soldati, A., Marchioli, C.: Physics and modelling of turbulent particle deposition and entrainment: review of a systematic study. Int. J. Multiphase Flow 35(9), 827–839 (2009)

    Article  Google Scholar 

  • Stein, L., Sesterhenn, J.: An acoustic model of a Helmholtz resonator under a grazing turbulent boundary layer. Acta Mech. 230(6), 2013–2029 (2019)

    Article  MathSciNet  Google Scholar 

  • Tagawa, Y., Mercado, J.M., Prakash, V.N., Calzavarini, E., Sun, C., Lohse, D.: Three-dimensional Lagrangian Voronoï analysis for clustering of particles and bubbles in turbulence. J. Fluid Mech. 693, 201–215 (2012)

    Article  MATH  Google Scholar 

  • Thornton, C., Ning, Z.: A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres. Powder Technol. 99(2), 154–162 (1998)

    Article  Google Scholar 

  • Tyagi, M., Acharya, S.: Large eddy simulation of film cooling flow from an inclined cylindrical jet. J. Turbomach. 125(4), 734–742 (2003)

    Article  Google Scholar 

  • Wu, W., Soligo, G., Marchioli, C., Soldati, A., Piomelli, U.: Particle resuspension by a periodically forced impinging jet. J. Fluid Mech. 820, 284–311 (2017)

    Article  MATH  MathSciNet  Google Scholar 

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Acknowledgements

We gratefully acknowledge the CINECA award under the ISCRA initiative (project HP10BTR8PQ), for providing high performance computing resources and support.

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Correspondence to Giuliano Agati.

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Agati, G., Borello, D., Camerlengo, G. et al. DNS of an Oblique Jet in a Particle-Laden Crossflow: Study of Solid Phase Preferential Concentration and Particle-Wall Interaction. Flow Turbulence Combust 105, 517–535 (2020). https://doi.org/10.1007/s10494-020-00150-0

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  • DOI: https://doi.org/10.1007/s10494-020-00150-0

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