View source for Functional Relationships

[[de:Funktionelle Abhängigkeiten]]

The parameters for the [[water level]] and current variations caused by a moving ship are a function of:
* ship velocity '''v<sub>S</sub>''' and the passing distance '''L'''
* ship dimensions (length '''l''', width '''b''', [[draught]] '''t''', submerged midship [[cross-section]] '''A<sub>S</sub>''')
* total hydrodynamic resistance of the ship (ship form) in the canal '''R<sub>T,K</sub>'''
* [[waterway]] conditions ([[water level]] '''B''' and bed width '''B<sub>S</sub>''', [[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.
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The ''essential'' parameters for the ship induced loading for fairways have been shown to be:
* the ship velocity ('''v<sub>S</sub>''')
* the passing distance ('''L''') to the [[bank]] edge which defines the hydraulic partial [[cross-section]] ('''A<sub>T</sub>''')
* the [[water depth]] to [[draught]] ratio ('''d/t'''), and the [[cross-section]] ratio '''A<sub>T</sub> / 0,5 A<sub>S</sub>'''.

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 '''A<sub>T1</sub>''' and '''A<sub>T2</sub>''', 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 '''A<sub>T1</sub> / 0,5 A<sub>S</sub>''' and '''A<sub>T2</sub> / 0,5 A<sub>S</sub>'''.
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