11.5: A Set of Resulting Graphs

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    13.5.1 Single Particle

    Figure 13.5-1: The hydraulic gradient versus the line speed.

    Screen Shot 2020-08-12 at 9.02.01 PM.png

    Figure 13.5-2: The relative excess hydraulic gradient versus the liquid hydraulic gradient.

    Screen Shot 2020-08-12 at 9.03.38 PM.png

    Figure 13.5-3: The slip ratio versus the line speed.

    Screen Shot 2020-08-12 at 9.04.32 PM.png

    Figure 13.5-4: The bed fraction and bed height versus the line speed.

    Screen Shot 2020-08-12 at 9.05.32 PM.png

    Figure 13.5-5: The hydraulic gradient on Durand coordinates.

    Screen Shot 2020-08-12 at 9.10.03 PM.png

    Figure 13.5-6: The hydraulic gradient versus the line speed, mixture density based.

    Screen Shot 2020-08-12 at 9.19.09 PM.png

    Figure 13.5-7: The Limit Deposit Velocity.

    Screen Shot 2020-08-12 at 9.21.28 PM.png

    Figure 13.5-8: The Limit Deposit Velocity versus the pipe diameter for 5 sands.

    Screen Shot 2020-08-12 at 9.23.26 PM.png

    13.5.2 9 Particle Diameters

    Figure 13.5-9: The hydraulic gradient versus the line speed for 9 particle diameters, Cvs.

    Screen Shot 2020-08-12 at 9.32.14 PM.png

    Figure 13.5-10: The hydraulic gradient versus the line speed for 9 particle diameters, Cvt.

    Screen Shot 2020-08-12 at 9.33.14 PM.png

    Figure 13.5-11: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 particle diameters, Cvs.

    Screen Shot 2020-08-12 at 9.38.20 PM.png

    Figure 13.5-12: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 particle diameters, Cvt.

    Screen Shot 2020-08-12 at 9.39.13 PM.png

    Figure 13.5-13: The hydraulic gradient on Durand coordinates for 9 particle diameters, Cvs.

    Screen Shot 2020-08-12 at 9.40.02 PM.png

    Figure 13.5-14: The hydraulic gradient on Durand coordinates for 9 particle diameters, Cvt.

    Screen Shot 2020-08-12 at 9.40.58 PM.png

    Figure 13.5-15: The slip ratio for 9 particle diameters.

    Screen Shot 2020-08-12 at 9.42.27 PM.png

    Figure 13.5-16: The bed height for 9 particle diameters.

    Screen Shot 2020-08-12 at 9.47.59 PM.png

    13.5.3 9 Concentrations

    Figure 13.5-17: The hydraulic gradient versus the line speed for 9 concentrations, Cvs.

    Screen Shot 2020-08-12 at 9.50.29 PM.png

    Figure 13.5-18: The hydraulic gradient versus the line speed for 9 concentrations, Cvt.

    Screen Shot 2020-08-12 at 9.51.50 PM.png

    Figure 13.5-19: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 concentrations, Cvs.

    Screen Shot 2020-08-12 at 10.37.40 PM.png

    Figure 13.5-20: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 concentrations, Cvt.

    Screen Shot 2020-08-12 at 10.41.40 PM.png

    Figure 13.5-21: The hydraulic gradient on Durand coordinates for 9 concentrations, Cvs.

    Screen Shot 2020-08-12 at 11.04.00 PM.png

    Figure 13.5-22: The hydraulic gradient on Durand coordinates for 9 concentrations, Cvt.

    Screen Shot 2020-08-12 at 11.05.40 PM.png

    Figure 13.5-23: The slip ratio for 9 concentrations.

    Screen Shot 2020-08-12 at 11.07.07 PM.png

    Figure 13.5-24: The bed height for 9 concentrations.

    Screen Shot 2020-08-12 at 11.08.15 PM.png

    Figure 13.5-25: The Limit Deposit Velocity versus the particle diameter for 9 concentrations.

    Screen Shot 2020-08-12 at 11.12.48 PM.png

    13.5.4 9 Pipe Diameters

    Figure 13.5-26: The hydraulic gradient versus the line speed for 9 pipe diameters, Cvs.

    Screen Shot 2020-08-12 at 11.21.36 PM.png

    Figure 13.5-27: The hydraulic gradient versus the line speed for 9 pipe diameters, Cvt.

    Screen Shot 2020-08-12 at 11.22.39 PM.png

    Figure 13.5-28: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 pipe diameters, Cvs.

    Screen Shot 2020-08-12 at 11.24.25 PM.png

    Figure 13.5-29: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 pipe diameters, Cvt.

    Screen Shot 2020-08-12 at 11.25.24 PM.png

    Figure 13.5-30: The hydraulic gradient on Durand coordinates for 9 pipe diameters, Cvs.

    Screen Shot 2020-08-12 at 11.26.42 PM.png

    Figure 13.5-31: The hydraulic gradient on Durand coordinates for 9 pipe diameters, Cvt.

    Screen Shot 2020-08-12 at 11.27.40 PM.png

    Figure 13.5-32: The slip ratio for 9 pipe diameters.

    Screen Shot 2020-08-12 at 11.32.52 PM.png

    Figure 13.5-33: The bed height for 9 pipe diameters.

    Screen Shot 2020-08-12 at 11.52.33 PM.png

    Figure 13.5-34: The Limit Deposit Velocity versus the particle diameter for 9 pipe diameters.

    Screen Shot 2020-08-12 at 11.54.02 PM.png

    13.5.5 9 Inclination Angles

    Figure 13.5-35: The hydraulic gradient versus the line speed for 9 inclination angles, Cvs.

    Screen Shot 2020-08-12 at 11.57.43 PM.png

    Figure 13.5-36: The hydraulic gradient versus the line speed for 9 inclination angles, Cvt.

    Screen Shot 2020-08-12 at 11.58.31 PM.png

    Figure 13.5-37: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 inclination angles, Cvs.

    Screen Shot 2020-08-12 at 11.59.29 PM.png

    Figure 13.5-38: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 inclination angles, Cvt.

    Screen Shot 2020-08-13 at 12.00.55 AM.png

    Figure 13.5-38: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 inclination angles, Cvt.

    Screen Shot 2020-08-13 at 12.02.12 AM.png

    Figure 13.5-39: The hydraulic gradient on Durand coordinates for 9 inclination angles, Cvs.

    Screen Shot 2020-08-13 at 12.03.23 AM.png

    Figure 13.5-40: The hydraulic gradient on Durand coordinates for 9 inclination angles, Cvt.

    Screen Shot 2020-08-13 at 12.04.35 AM.png

    Figure 13.5-41: The slip ratio for 9 inclination angles.

    Screen Shot 2020-08-13 at 12.05.31 AM.png

    Figure 13.5-42: The bed height for 9 inclination angles.

    Screen Shot 2020-08-13 at 12.06.31 AM.png

    Figure 13.5-43: The Limit Deposit Velocity versus the particle diameter for 9 inclination angles.

    Screen Shot 2020-08-13 at 12.07.53 AM.png

    13.5.6 9 Solids Densities

    Figure 13.5-44: The hydraulic gradient versus the line speed for 9 solids densities, Cvs.

    Screen Shot 2020-08-13 at 12.13.19 AM.png

    Figure 13.5-45: The hydraulic gradient versus the line speed for 9 solids densities, Cvt.

    Screen Shot 2020-08-13 at 12.14.59 AM.png

    Figure 13.5-46: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 solids densities, Cvs.

    Screen Shot 2020-08-13 at 12.16.45 AM.png

    Figure 13.5-47: The relative excess hydraulic gradient versus the liquid hydraulic gradient for 9 solids densities, Cvt.

    Screen Shot 2020-08-13 at 12.17.42 AM.png

    Figure 13.5-48: The hydraulic gradient on Durand coordinates for 9 solids densities, Cvs.

    Screen Shot 2020-08-13 at 12.19.07 AM.png

    Figure 13.5-49: The hydraulic gradient on Durand coordinates for 9 solids densities, Cvt.

    Screen Shot 2020-08-13 at 12.20.33 AM.png

    Figure 13.5-50: The slip ratio for 9 solids densities.

    Screen Shot 2020-08-13 at 12.21.30 AM.png

    Figure 13.5-51: The bed height for 9 solids densities.

    Screen Shot 2020-08-13 at 12.22.29 AM.png

    Figure 13.5-52: The Limit Deposit Velocity versus the particle diameter for 9 solids densities.

    Screen Shot 2020-08-13 at 12.23.34 AM.png

    15.5.7 Graded Solids

    Figure 13.5-53: The Particle Size Distribution of a graded sand.

    Screen Shot 2020-08-13 at 12.26.22 AM.png

    Figure 13.5-54: The hydraulic gradient versus the line speed for a graded sand, Cvs.

    Screen Shot 2020-08-13 at 12.28.27 AM.png

    Figure 13.5-55: The hydraulic gradient versus the line speed for a graded sand, Cvt.

    Screen Shot 2020-08-13 at 12.29.48 AM.png

    Figure 13.5-56: The relative excess hydraulic gradient versus the liquid hydraulic gradient for a graded sand, Cvs.

    Screen Shot 2020-08-13 at 10.02.47 AM.png

    Figure 13.5-57: The relative excess hydraulic gradient versus the liquid hydraulic gradient for a graded sand, Cvt.

    Screen Shot 2020-08-13 at 10.05.56 AM.png

    Figure 13.5-58: The hydraulic gradient on Durand coordinates for a graded sand, Cvs.

    Screen Shot 2020-08-13 at 10.06.49 AM.png

    Figure 13.5-59: The hydraulic gradient on Durand coordinates for a graded sand, Cvt.

    Screen Shot 2020-08-13 at 10.07.43 AM.png

    Figure 13.5-60: The slip ratio for a graded sand.

    Screen Shot 2020-08-13 at 10.11.04 AM.png

    Figure 13.5-61: The bed height for a graded sand.

    Screen Shot 2020-08-13 at 10.11.48 AM.png

    13.5.8 Flow Regime Transitions 9 Concentrations

    Figure 13.5-62: The Limit Deposit Velocity at 9 volumetric concentrations.

    Screen Shot 2020-08-13 at 10.27.01 AM.png

    Figure 13.5-63: The transition Fixed Bed-Sliding Bed (LSDV) at 9 volumetric concentrations.

    Screen Shot 2020-08-13 at 10.27.38 AM.png

    Figure 13.5-64: The transition Fixed Bed-Heterogeneous Regime at 9 volumetric concentrations.

    Screen Shot 2020-08-13 at 10.28.21 AM.png

    Figure 13.5-65: The transition Sliding Bed-Heterogeneous Regime at 9 volumetric concentrations.

    Screen Shot 2020-08-13 at 10.29.03 AM.png

    Figure 13.5-66: The transition Heterogeneous-Homogeneous at 9 volumetric concentrations.

    Screen Shot 2020-08-13 at 10.30.20 AM.png

    Figure 13.5-67: The lift ratio (near wall lift to gravity ratio) at 9 volumetric concentrations.

    Screen Shot 2020-08-13 at 10.31.06 AM.png

    13.5.9 Flow Regime Transitions 9 Pipe Diameters

    Figure 13.5-68: The Limit Deposit Velocity at 9 pipe diameters.

    Screen Shot 2020-08-13 at 10.33.22 AM.png

    Figure 13.5-69: The transition Fixed Bed-Sliding Bed (LSDV) at 9 pipe diameters.

    Screen Shot 2020-08-13 at 10.34.02 AM.png

    Figure 13.5-70: The transition Fixed Bed-Heterogeneous Regime at 9 pipe diameters.

    Screen Shot 2020-08-13 at 10.35.00 AM.png

    Figure 13.5-71: The transition Sliding Bed-Heterogeneous Regime at 9 pipe diameters.

    Screen Shot 2020-08-13 at 10.35.46 AM.png

    Figure 13.5-72: The transition Heterogeneous-Homogeneous at 9 pipe diameters.

    Screen Shot 2020-08-13 at 10.36.46 AM.png

    Figure 13.5-73: The lift ratio (near wall lift to gravity ratio) at 9 pipe diameters.

    Screen Shot 2020-08-13 at 10.39.29 AM.png

    13.5.10 Flow Regime Transitions 9 Solids Densities

    Figure 13.5-74: The Limit Deposit Velocity at 9 solids densities.

    Screen Shot 2020-08-13 at 10.44.08 AM.png

    Figure 13.5-75: The transition Fixed Bed-Sliding Bed (LSDV) at 9 solids densities.

    Screen Shot 2020-08-13 at 10.44.58 AM.png

    Figure 13.5-76: The transition Fixed Bed-Heterogeneous Regime at 9 solids densities.

    Screen Shot 2020-08-13 at 10.46.22 AM.png

    Figure 13.5-77: The transition Sliding Bed-Heterogeneous Regime at 9 solids densities.

    Screen Shot 2020-08-13 at 10.47.05 AM.png

    Figure 13.5-78: The transition Heterogeneous-Homogeneous at 9 solids densities.

    Screen Shot 2020-08-13 at 10.47.52 AM.png

    Figure 13.5-79: The lift ratio (near wall lift to gravity ratio) at 9 solids densities.

    Screen Shot 2020-08-13 at 10.50.27 AM.png

    This page titled 11.5: A Set of Resulting Graphs was last modified on Fri, 05 Mar 2021 08:24:20 GMT and is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Sape A. Miedema (TU Delft Open Textbooks) via source content that was edited to the style and standards of the LibreTexts platform.