open channel flow Flashcards
define open channel flow
flow of a fluid (usually water) in a conduct with a free surface, where pressure is equal to the local atmospheric pressure
where does the force balance in an OCF come from?
between gravity and friction
velocity in an OCF is a function of what?
slope, roughness, hydraulic radius
what does the hydraulic radius control?
water velocity and discharge
define steady flow
water height does not change in time
define uniform flow
water height does not vary along the length of the channel
what does the froude number represent?
ratio between inertial effects and gravity effects
define celerity
velocity at which a small disturbance propagates through a fluid
how do waves propagate in still water?
- V = 0
- waves propagate as circles with the very same velocity in each direction
- propagation velocity is equal to celerity
how do waves propagate in subcritical flow?
- V < C
- waves propagate downstream with velocity equal to 𝑣+𝐶
- a refraction, with which waves propagate upstream with velocity equal to 𝑣−𝐶
how do waves propagate in critical flow?
- V = C
- waves propagate only downstream with respect to the source of perturbation with a velocity equal to 𝑣+𝐶=2𝐶
how do waves propagate in supercritical flow?
- V > C
- waves propagate only downstream with velocity equal to 𝑣+𝐶
- circles will detach from the source and will lay only in a conic region of a channel