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Functional Relationships

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The parameters for the water level and current variations caused by a moving ship are a function of:

  • ship velocity vS and the passing distance L
  • ship dimensions (length l, width b, draught t, submerged midship cross-section AS)
  • total hydrodynamic resistance of the ship (ship form) in the canal RT,K
  • waterway conditions (water level B and bed width BS, water depth d, cross-section and area A, bank profile and slope 1 : m)
  • current conditions in the waterway
  • other influences such as waterway bend, type of propulsion, water density.


The essential parameters for the ship induced loading for fairways have been shown to be:

To illustrate more simply the physical processes occurring when a ship is moving in a waterway of varying non-uniform cross-section, one may think of the waterway cross-section as being divided into two parts AT1 and AT2, through each of which half of the ship's displacement passes. Thus each bank experiences a qualitatively different ship induced loading as is determined by the partial cross-section ratios AT1 / 0,5 AS and AT2 / 0,5 AS.


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