Module 6 : Equations Governing Hydrologic and Hydraulic Routing
Lecture 2 : Navier-Stokes and Saint Venant equations
Assumptions of St. Venant Equations
Flow is one-dimensional
Hydrostatic pressure prevails and vertical accelerations are negligible
Streamline curvature is small.
Bottom slope of the channel is small.
Manning’s and Chezy’s equation are used to describe resistance effects
The fluid is incompressible
Channel boundaries are considered fixed and therefore not susceptible to erosion or deposition.
1D gradually varied unsteady flow in an open channel is given by St. Venant equations:
Continuity Equation ( based on Conservation of Mass)
Momentum Equation ( based on Conservation of Momentum)
