Lecture 8-River Dynamics 2 Flashcards
Q = Av = wdv
Formula for discharge Q= discharge A= area of the cross section (width x depth) v= velocity (mean) Units will be cubic meters per second
Flume
A rectangular channel /tube used in hydrology labs
Average velocity
Different processes and forces act on the flow pushing it forward and holding it back, at the bed velocity is equal to zero (no-slip condition or viscosity ) water in the middle of the cross section is more turbulent, at the surface it is moving faster than the mean
Open channel flows
Will have 3 sides - air flow over the top
In terms of flow type it will be boundary layer flow (final stage wl turbulent flow over laminar flow @ the base
Flow classification of boundary layer in an open channel is dependent on:
- Relative magnitude of gravity, viscous and turbulent forces
- Rate of change of mean velocity or mean depth with respect to time (temporal)
- Rate of change of mean velocity or mean depth in downstream direction (spatial)
Reach
A manageable section of river which we can observe
Should be fairly straight and consistent depth /width
Reynolds equation
Re = VR / υ
Re= Reynolds number V= velocity R= hydraulic radius υ = coefficient for kinematic viscosity (stickiness at the base)
Hydraulic radius formula
R =A/P
A= area = width x depth P= wet perimeter = 2x depth + width
Reynolds number meaning
Re < 500 mean viscous forces are dominant, flow is laminar
Re > 500 means turbulent forces are dominant
Re > 2000 means fully turbulent
Which equation is used to determine if flow is laminar or turbulent?
The Reynolds equation
Need to know velocity and the channel width and depth
υ
Kinematic viscosity
= 1.307 x 10 to the power of -6
Units= m 2 s -1
Froude number
Fr =V / sqrt(gY)
Will the power of turbulence over come an obstacle in the water or will it pond, backfill behind the object
Ratio of turbulent force to gravity force
V = velocity
g = gravity = 9.8m s-2
Y = depth
Froude number meaning,
Fr <1 means gravity exceeds flow velocity (can pond and head back upstream) → subcritical (tranquil)
Fr >1 turbulent forces are greater → supercritical (rapids)
Fr =1 critical i-can pond and head