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 01 Wilson (1992) Hydrostatic Stress Approach with the Televantos (1979) Bed Shear Stress Approach
 The original Wilson (1992) model based on the hydrostatic pressure distribution, with a Televantos factor of 2 for the bed shear stress and including the Pugh & Wilson (1999) equations for sheet flow.  The graphs support the following papers: Miedema, S.A., “An Analysis of Slurry Transport at Low Line Speeds”. ASME-OMAE 2014, San Francisco, USA, June 2014. Miedema, S.A., Ramsdell, R.C., “An Analysis of the Hydrostatic Approach of Wilson for the Friction of a Sliding Bed”. WEDA 34/TAMU 45, Toronto, Canada, June 2014. Miedema, S.A. & Matousek V., “An explicit formulation for the Darcy-Weisbach friction factor of sheet flow”. 15th International Freight Pipeline Society Symposium 2014. 24-26 June 2014, Prague, Czech Republic.

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 Model". www.dredgingengineering.com. Delft, The Netherlands, 2012-now.

The hydraulic gradient versus the line speed.

The normalised hydraulic gradient versus the relative line speed.
The hydraulic gradient is normalised by dividing by the hydraulic plug gradient.
The line speed is relative by dividing by the maximum limit deposit velocity.

The relative excess hydraulic gradient versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The fraction of solids in the sheet flow layer versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The bed Darcy Weisbach friction factor versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The relative volumetric transport concentration versus the relative line speed.
The volumetric transport concentration is relative by dividing by the volumetric bed concentration.
The line speed is relative by dividing by the maximum limit deposit velocity.

The relative slip velocity versus the relative line speed.
The slip velocity is relative by dividing by the line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The relative bed velocity versus the relative line speed.
The bed velocity is relative by dividing by the line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The hydraulic gradient versus the line speed.

The normalised hydraulic gradient versus the relative line speed.
The hydraulic gradient is normalised by dividing by the hydraulic plug gradient.
The line speed is relative by dividing by the maximum limit deposit velocity.

The relative excess hydraulic gradient versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The normalised excess hydraulic gradient versus the relative line speed.
The excess hydraulic gradient is normalised by dividing by the hydraulic plug gradient.
The line speed is relative by dividing by the maximum limit deposit velocity.

The slip factor versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The bed fraction versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The fraction of solids in the sheet flow layer versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

The bed Darcy Weisbach friction factor versus the relative line speed.
The line speed is relative by dividing by the maximum limit deposit velocity.

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