Standard Graphs > Dp=0.1016 m (4 inch)

A set of standard graphs is shown for pipe diameters of 1 inch, 2 inch, 4 inch, 6 inch, 8 inch, 10 inch and 30 inch pipe diameters and 0.3 m, 0.4 m, 0.5 m, 0.6 m, 0.7 m, 0.8 m, 0.9 m, 1.0 m, 1.1 m and 1.2 m pipe diameters. The graphs are divided into 8 groups:

  1. Hydraulic Gradient and Relative Excess Hydraulic Gradient Graphs, both for constant spatial volumetric concentration curves and for constant transport volumetric concentration curves, for a particle diameter of 1 mm, for uniform sands and gravels. 
  2. Hydraulic Gradient and Relative Excess Hydraulic Gradient Graphs, both for constant spatial volumetric concentration curves and for constant transport volumetric concentration curves, for particle diameters of 0.1 mm, 0.2 mm, 0.3 mm, 0.5 mm, 0.75 mm, 1.0 mm, 1.5 mm, 3.0 mm and 10 mm particle diameters, for uniform sands and gravels.
  3. Hydraulic Gradient and Relative Excess Hydraulic Gradient, both for constant spatial volumetric concentration curves and for constant transport volumetric concentration curves, for a 1 mm particles, for graded sands and gravels. 
  4. Hydraulic Gradient and Relative Excess Hydraulic Gradient Graphs, both for constant spatial volumetric concentration curves and for constant transport volumetric concentration curves, for particle diameters of 0.1 mm, 0.2 mm, 0.3 mm, 0.5 mm, 0.75 mm, 1.0 mm, 1.5 mm, 3.0 mm and 10 mm particle diameters, for graded sands and gravels.
  5. Limit Deposit Velocity curves and Bed Fraction and Slip Factor curves. 
  6. The transition heterogeneous-homogeneous flow regimes.
  7. A comparison of 22 models based on Hydraulic Gradient and Relative Excess Hydraulic Gradient curves.
  8. A comparison of the Wasp, Wilson & SRC models with the DHLLDV Framework.

The Flow Regime Diagram

The flow regime diagram is based on the DHLLDV Framework. Since the DHLLDV Framework has sub-models for all the flow regimes, for each particle diameter the intersection line speed between two flow regimes can be determined. Connecting the intersection line speeds for a range of particle diameters gives a curve showing the transition between two flow regimes. The flow regime sub-models are based on the dominating physical behavior. So the sliding bed flow regime is based on energy dissipation due to sliding friction and the heterogeneous flow regime on potential and kinetic energy losses. The diagram also shows the Limit Deposit Velocity.

Material from this website is free to use, but if you use it in a publication or report please add the following reference:
Miedema, S.A., "The Delft Head Loss & Limit Deposit Velocity Framework". www.dredgingengineering.com. Delft, The Netherlands, 2012-now.
Or refer to the book:
Miedema, S.A., "Slurry Transport: Fundamentals, A Historical Overview and The Delft Head Loss & Limit Deposit Velocity Framework". Delft University of Technology, Delft, the Netherlands, June 2016.



   01: Dp=0.1016 m, Uniform Sands & Gravels, d=1 mm

For uniform sands & gravels a set of standard graphs is created for a spatial or transport volumetric concentration Cvs of 17.5% and a particle diameter of d=1 mm.

For other concentrations and particle diameters the graphs/curves may differ, especially the volumetric transport concentration Cvt graphs/curves. 


>> Read more

   02: Dp=0.1016 m, Uniform Sands & Gravels, 9 Particle Diameters

For uniform sands & gravels a set of standard graphs is created for a spatial or transport volumetric concentration Cvs of 17.5% and 9 particle diameters.

For other concentrations the graphs/curves may differ, especially the volumetric transport concentration Cvt graphs/curves. 


>> Read more

   03: Dp=0.1016 m, Graded Sands & Gravels, d=1 mm

For graded sands & gravels a set of standard graphs is created for a spatial or transport volumetric concentration Cvs of 17.5% and a particle diameter of d=1 mm.

For other concentrations and particle diameters the graphs/curves may differ, especially the volumetric transport concentration Cvt graphs/curves. 


>> Read more

   04: Dp=0.1016 m, Graded Sands & Gravels, 9 Fractions

For graded sands & gravels a set of standard graphs is created for a spatial or transport volumetric concentration of 17.5%.

For other concentrations the graphs may differ, especially the volumetric transport concentration graphs. 


>> Read more

   05: Dp=0.1016 m, The Limit Deposit Velocity, Slip Factor & The Bed Fraction

For the Limit Deposit Velocity a set of standard graphs is created for a spatial or transport volumetric concentration of 17.5%.

At this concentration the LDV is at a maximum.

For the slip factor and the bed fraction a set of standard graphs is created for a transport volumetric concentration of 17.5%.

For other concentrations the graphs may differ, especially the volumetric transport concentration graphs. 


>> Read more

   06: Dp=0.1016 m, The Transition Heterogeneous-Homogeneous Flow Regimes

The transition line speed of the heterogeneous flow regime and the homogeneous flow regime gives an indication of how good or bad different models match. For different models graphs are created for a spatial volumetric concentration of 17.5%.

For other concentrations the graphs may differ, especially the volumetric transport concentration graphs. 


>> Read more

   10: Dp=0.1016 m, A Comparison Of Different Models

For different models a set of standard graphs is created for a spatial or transport volumetric concentration of 17.5%.

For other concentrations the graphs may differ, especially the volumetric transport concentration graphs. 


>> Read more

   11: Dp=0.1016 m, Wasp, Wilson & SRC versus DHLLDV

For the Wasp, Wilson & SRC models a set of standard graphs is created for a spatial or transport volumetric concentration of 17.5%.

For other concentrations the graphs may differ, especially the volumetric transport concentration graphs. 


>> Read more



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