Slurry Transport: Fundamentals, A Historical Overview & The DHLLDV Framework.

   01 Description of the DHLLDV Framework.

Description of the DHLLDV Framework.


The Delft Head Loss & Limit Deposit Velocity Framework (DHLLDV) consists of a framework to determine head losses in horizontal  and inclined slurry transport.

The DHLLDV Framework is developed for Dredging applications with water as the carrier liquid and sand or gravel as the solids, but has also been verified and validated for other types of solids and Newtonian liquids.

The DHLLDV Framework offers a methodology to determine the Head Losses and Limit Deposit Velocity for constant spatial volumetric concentrations Cvs and uniform sands and gravels, but based on a holdup function (slip factor function), also for constant transport (delivered) volumetric concentrations Cvt.

Based on the Limit Deposit Velocity the concentration distribution is determined, assuming that at the LDV the bottom concentration equals the bed concentration. The bed height is determined based on the Cvt/Cvs ratio or slip factor.

The head loss curves of graded sands and gravels can be determined by superposition of the curves for each fraction by weight, after adjusting the liquid parameters based on the fraction of fines.

Publications on the DHLLDV Framework:

  • Ramsdell, R.C. & Miedema, S.A., “An Overview of Flow Regimes Describing Slurry Transport”. WODCON XX, Brussels, Belgium, June 2013.
  • Miedema S.A., “An Overview of Theories Describing Head Losses in Slurry Transport, A Tribute to Some of the Early Researchers”. OMAE 2013, Nantes, France, June 2013.
  • Miedema, S.A., “An Overview of Theories Describing Head Losses in Slurry Transport, A Tribute to Some of the Early Researchers”. Journal of Dredging Engineering, Vol. 14, No. 1, 2014.
  • Miedema, S.A., & Ramsdell, R.C., “The Delft Head Loss & Limit Deposit Velocity Model”. 19th International Conference on HydroTransport. Denver, Colorado, USA, 24-26 September 2014. 
  • Ramsdell, R.C. & Miedema, S.A., "The Delft Head Loss & Limit Deposit Velocity Framework". Dredging 2015, SavannaH, Georgia, USA. Pianc USA, Copri ASCE.
  • Miedema, S.A., "A Method to Compare Slurry Transport Models". 17th International Conference on Transport & Sedimentation of Solid Particles. September 22-25, 2015, Delft, The Netherlands.
  • Miedema, S.A. & Ramsdell, R.C., "The Delft Head Loss & Limit Deposit Velocity Framework". Journal of Dredging Engineering. Volume 15, Issue 2 (June 2016).
  • Miedema, S.A. & Ramsdell, R.C., "A Comparison of Different Slurry Transport Models". WODCON XXI, Miami, Florida, USA. June 2016.
  • Ramsdell, R.C. & Miedema, S.A., "DHLLDV - Open Source Software for Slurry Transport". WODCON XXI, Miami, Florida, USA. June 2016.

The DHLLDV model consists of 12 sub-models which may be replaced by user functions. These sub-models are:

  1. The fixed or stationary bed model (FB), including sheet flow at higher line speeds.
    Publications on the fixed bed model:
    Miedema, S.A., “An analysis of slurry transport at low line speeds”. ASME-OMAE 2014, San Francisco, USA, June 2014.
    Miedema, S.A. & Matousek V., “An explicit formulation for the Moody friction factor of sheet flow”. 15th International Freight Pipeline Society Symposium 2014. 24-26 June 2014, Prague, Czech Republic.
  2. The sliding bed model (SB).
    Publications on the sliding bed model:
    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.
  3. The heterogeneous transport model (He).
    Publications on the heterogeneous transport model:
    Miedema, S.A. & Ramsdell, R.C., “A Head Loss Model for Slurry Transport Based on Energy Considerations”. WODCON XX, Brussels, Belgium, June 2013.
    Miedema, S.A., “Slurry Transport, an Analytical Approach to Explain the Fuhrboter Equation”. Maritime Engineering Journal, Vol. 167, Issue 2, June 2014, Special Dredging Issue.
    Miedema, S.A., "A Head Loss Model for Slurry Transport in the Heterogeneous Regime". Journal of Ocean Engineering Vol. 106, pp. 360-370, 2015.
  4. The homogeneous transport model (Ho).  
    Publications on the homogeneous transport model:
    Miedema, S.A., “A Head Loss Model for Homogeneous Slurry Transport”. Journal of Hydrology & Hydromechanics. January 2015. Vol 63(1).
  5. The sliding flow regime.
    Publications on the sliding flow regime.
    Miedema, S.A., "Slurry transport of very large particles at high line speeds". Submitted to Hydrotransport 2017.
  6. The Limit Deposit Velocity model (LDV).
    Publications on the Limit Deposit Velocity model:
    Miedema, S.A., & Ramsdell, R.C., “The Limit Deposit Velocity, a New Approach". Journal of Hydrology & Hydromechanics. Vol 63(4), September 2015.
  7. The holdup or slip factor model, resulting in transport concentration and bed height curves.
    Publications on the holdup function:
    Miedema, S.A., “The Slip Ratio or Holdup Function in Slurry Transport". Dredging Summit & Expo, Houston, USA, June 2015. WEDA/TAMU.
  8. The concentration distribution.
  9. The transition heterogeneous-homogeneous flow regime.
    Publications on the transition heterogeneous-homogeneous flow regime.
    Miedema, S.A., "The Transition Heterogeneous-Homogeneous in Slurry Transport". Submitted to the Journal of Ocean Engineering.
  10. The bed height model.
  11. Graded Sands & gravels.
    Publications on graded sands & gravels.
    Miedema, S.A., "A comparison of graded PSD methods in slurry transport". Submitted to Hydrotransport 2017.
  12. Inclined pipes.



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