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Original Articles

Distribution and penetration efficiency of cylindrical nanoparticles in turbulent flows through a curved tube

, , &
Pages 1255-1269 | Received 27 Feb 2020, Accepted 10 May 2020, Published online: 04 Jun 2020

Figures & data

Figure 1. Cylindrical particulate flow through a curved tube.

Figure 1. Cylindrical particulate flow through a curved tube.

Figure 2. Two coordinate systems.

Figure 2. Two coordinate systems.

Figure 3. Schematic of collision of two cylindrical particles.

Figure 3. Schematic of collision of two cylindrical particles.

Figure 4. Distribution of mean axial velocity (a) and RMS value of fluctuating axial velocity (b) along the tube midplane (white line) (Re = 10,500, De = 2460).

Figure 4. Distribution of mean axial velocity (a) and RMS value of fluctuating axial velocity (b) along the tube midplane (white line) (Re = 10,500, De = 2460).

Figure 5. Distribution of relative particle number concentration on the cross-section at different axial positions (Re = 10,500, St = 0.014, De = 1862, β = 8). (a) S/Lb =0, (b) S/Lb =1/3, (c) S/Lb =2/3, and (d) S/Lb = 1.

Figure 5. Distribution of relative particle number concentration on the cross-section at different axial positions (Re = 10,500, St = 0.014, De = 1862, β = 8). (a) S/Lb =0, (b) S/Lb =1/3, (c) S/Lb =2/3, and (d) S/Lb = 1.

Figure 6. Distributions of mean orientation of particles on the cross-section at different axial positions. (Re = 10,500, St = 0.014, De = 1862, β = 8).

Figure 6. Distributions of mean orientation of particles on the cross-section at different axial positions. (Re = 10,500, St = 0.014, De = 1862, β = 8).

Figure 7. Distribution of relative particle number concentration on the cross-section at outlet. (a) St = 0.020, De = 1862, Re = 10,500, β = 8, (b) St = 0.014, De = 2460, Re = 10,500, β = 8, (c) St = 0.014, De = 1862, Re = 4500, β = 8, and (d) St = 0.014, De = 1862, Re = 10,500, β = 4.

Figure 7. Distribution of relative particle number concentration on the cross-section at outlet. (a) St = 0.020, De = 1862, Re = 10,500, β = 8, (b) St = 0.014, De = 2460, Re = 10,500, β = 8, (c) St = 0.014, De = 1862, Re = 4500, β = 8, and (d) St = 0.014, De = 1862, Re = 10,500, β = 4.

Figure 8. Distribution of particle orientation for different St (Re = 10,500, De = 1862, β = 8).

Figure 8. Distribution of particle orientation for different St (Re = 10,500, De = 1862, β = 8).

Figure 9. Distribution of particle orientation for different De (Re = 10,500, St = 0.014, β = 8).

Figure 9. Distribution of particle orientation for different De (Re = 10,500, St = 0.014, β = 8).

Figure 10. Distribution of particle orientation for different Re (De = 1862, St = 0.014, β = 8).

Figure 10. Distribution of particle orientation for different Re (De = 1862, St = 0.014, β = 8).

Figure 11. Distribution of particle orientation for different aspect ratio (Re = 10,500, De = 1862, St = 0.014).

Figure 11. Distribution of particle orientation for different aspect ratio (Re = 10,500, De = 1862, St = 0.014).

Figure 12. Penetration efficiency as a function of Stokes number and aspect ratio (Dean = 1862, Re = 10,500).

Figure 12. Penetration efficiency as a function of Stokes number and aspect ratio (Dean = 1862, Re = 10,500).

Figure 13. Penetration efficiency as a function of St and De (β = 8, Re = 10,500).

Figure 13. Penetration efficiency as a function of St and De (β = 8, Re = 10,500).

Figure 14. Penetration efficiency as a function of St and Re (β = 8, Dean = 1862).

Figure 14. Penetration efficiency as a function of St and Re (β = 8, Dean = 1862).

Figure 15. Penetration efficiency as a function of related synthetic parameter. (a) St ≤ 0.02; (b) St > 0.02.

Figure 15. Penetration efficiency as a function of related synthetic parameter. (a) St ≤ 0.02; (b) St > 0.02.

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