Fluvial Hydraulics

Institution: DICAR (UNIPV)

Major: HYRIS

Term: 1ST Semester – Academic Year 2018-2019

Instructor: Paolo Ghilardi (ghilardi@unipv.it)

CFU: 6


Duration: 01/10/2018 – 18/01/2019

Schedule: classes calendar available here

Office hours: We 4–6 PM or by appointment



The course will focus on hydraulics of natural streams, solid transport mechanics, and related hydrodynamic processes.


  1. Basics of Natural Streams Hydrodynamics – Momentum and Energy equations, Turbulence and Velocity Distribution in Natural Streams Flows, Secondary Currents and Dip Phenomenon, Velocity and Bed Shear Stress Distribution in Curved Channels, Shear Stress for Unsteady-Nonuniform Flow.
  2. Solid Transport Threshold – Hydrodynamic Drag and Lift on a Solid Grain, Threshold Velocity, Threshold Bed Shear Stress, Probabilistic Concept of Entrainment, Threshold of Nonuniform Sediment Motion.
  3. Bed-Load Transport – Empirical Relationships Involving Bed Shear Stress, Discharge or Velocity; Probabilistic Concepts: Einstein’s Model, Engelund and Fredsøe’s Model; Deterministic Concepts: Bagnold’s Model, Yalin’s Model; Fractional Bed Load of Nonuniform Sediments; Sediment Sorting and Streambed Armoring.
  4. Suspended-Load Transport – Diffusion Concept: Generalized Advection–Diffusion Equation of Suspended Sediment Motion, Equation for Vertical Distribution of Sediment Concentration, Stratification Effects, Nonequilibrium Sediment Concentration Distribution, Suspended Load. Energy Concept: Velikanov’s Model, Bagnold’s Model, Wu’s Model. Threshold Condition for Sediment Suspension. Wash Load.

5.Total-Load Transport – Einstein’s Model, Bagnold Model, Chang Model. Engelund and Hansen’s Model. Ackers and White’s Model. Total-Load Transport of Nonuniform Sediments.

  1. Bedforms – Ripples, Dunes, Antidunes, Chutes and Pools, Bars. Models for Prediction of Bedforms. Resistance to Flow Due to Bedforms: Einstein and Barbarossa’s Method, Karim and Kennedy’s Method, van Rijn’s Method.
  2. Meandering and Braiding – Meander Planform Characteristics, Mathematical Modeling of Meandering Rivers (Ikeda and Nishimura’s, Odgaard’s). Braided Rivers.
  3. Scour: General Scour, Scour Within Channel Contractions, Scour Near Structures. Scour at Bridge Piers and Abutments. Kinematic Model of Horseshoe Vortex. Scour Depth Prediction and Countermeasures.


Basic knowledge of hydraulics or fluid mechanics.



  • Dey, S., Fluvial Hydrodynamics: Hydrodynamic and Sediment Transport Phenomena, Springer-Verlag, 2014
  • Course notes, scientific articles and other material will be provided during the course.



Assignments will be handed over and graded during the course and will be discussed during the final oral examination.