Module 6 : Equations Governing Hydrologic and  Hydraulic Routing
Lecture 2 : Navier-Stokes and Saint Venant equations
 

Saint Venant Equations

  • The Saint Venant Equations were formulated in the 19th century by two mathematicians, de Saint Venant and Bousinnesque.
  • The solution of the St. Venant equations is known as dynamic routing, which is generally the standard to which other methods are measured or compared.
  

Continuity equation:  

Momentum equation:  

Q-Discharge through the channel
A-Area of cross-section of flow
y- Depth of flow 
S0-Channel bottom slope 
Sf- Friction slope