Wilhelm Rudolf cutter

Wilhelm Rudolf Kutter (born August 23, 1818 in Ravensburg , † May 6, 1888 in Bern ) was an engineer for hydraulic engineering and sewer systems.

Together with Emile Ganguillet , he developed an empirical flow formula for calculating the movement of water in canals, taking into account friction losses :

The mean flow velocity v was represented as:

{\ displaystyle v = c {\ sqrt {RS}}}

,

in dependence of

the mean hydraulic radius R
the gradient ${\ displaystyle S = {\ frac {h} {L}}}$ ${\ displaystyle S = {\ frac {h} {L}}}$
- the height of fall h
- the (diagonal) length L of the considered route section
a constant of proportionality ${\ displaystyle c = {\ frac {a + {\ frac {l} {n}} + {\ frac {m} {S}}} {1+ (a + {\ frac {m} {S}}) {\ frac {n} {\ sqrt {R}}}}}}$ ${\ displaystyle c = {\ frac {a + {\ frac {l} {n}} + {\ frac {m} {S}}} {1+ (a + {\ frac {m} {S}}) {\ frac {n} {\ sqrt {R}}}}}}$
- empirical constants a , l and m ; for the meter rule the constants were determined as a = 23, l = 1.00 and m = 0.0155.
- a coefficient n which depends on the roughness of the wetted perimeter; he assumes values between
  - 0.010 (for ducts with smooth wood or cement cladding) and
  - 0.030 (for bodies of water with coarse debris and aquatic plants).

Kutter was involved in the correction of the Jura waters in the Seeland near Biel / Bienne . As a thank you, he received the citizenship of Biel / Bienne, where there is a Wilhelm-Kutter-Weg in his honor. The family then settled in Switzerland ; his son Hermann Kutter was an important Swiss theologian.

Main work

E. Ganguillet, WR Kutter: Attempt to establish a new general formula for the uniform movement of water in canals and rivers, based on the results of the extensive and careful studies carried out in France and the great current measurements carried out in North America. Bern 1877.

personal data
SURNAME	Kutter, Wilhelm Rudolf
BRIEF DESCRIPTION	Engineer for hydraulic engineering and sewer systems
DATE OF BIRTH	August 23, 1818
PLACE OF BIRTH	Ravensburg
DATE OF DEATH	May 6, 1888
Place of death	Bern