This document discusses uniform flow in open channels. It defines an open channel as a stream that is not completely enclosed by solid boundaries and has a free surface exposed to atmospheric pressure. The document describes different types of open channels, types of flow, and geometric properties of channels. It also presents the Chezy and Manning formulas for calculating velocity and discharge under conditions of uniform flow in open channels.
OPEN CHANNEL FLOW AND HYDRAULIC MACHINERY
Open channel flow: Types of flows – Type of channels – Velocity distribution – Energy and momentum correction factors – Chezy’s, Manning’s; and Bazin formula for uniform flow – Most Economical sections. Critical flow: Specific energy-critical depth – computation of critical depth – critical sub-critical – super critical flows
Non-uniform flows –Dynamic equation for G.V.F., Mild, Critical, Steep, horizontal and adverse slopes-surface profiles-direct step method- Rapidly varied flow, hydraulic jump, energy dissipation
Uniform Flow: Basic concepts of free surface flows,
velocity and pressure distribution,
Mass, energy and momentum principle for prismatic and non-prismatic channels,
Review of Uniform flow: Standard equations,
hydraulically efficient channel sections,
compound sections,
Energy-depth relations:
Concept of specific energy, specific force,
critical flow, critical depth,
hydraulic exponents, and
Channel transitions.
OPEN CHANNEL FLOW AND HYDRAULIC MACHINERY
Open channel flow: Types of flows – Type of channels – Velocity distribution – Energy and momentum correction factors – Chezy’s, Manning’s; and Bazin formula for uniform flow – Most Economical sections. Critical flow: Specific energy-critical depth – computation of critical depth – critical sub-critical – super critical flows
Non-uniform flows –Dynamic equation for G.V.F., Mild, Critical, Steep, horizontal and adverse slopes-surface profiles-direct step method- Rapidly varied flow, hydraulic jump, energy dissipation
Uniform Flow: Basic concepts of free surface flows,
velocity and pressure distribution,
Mass, energy and momentum principle for prismatic and non-prismatic channels,
Review of Uniform flow: Standard equations,
hydraulically efficient channel sections,
compound sections,
Energy-depth relations:
Concept of specific energy, specific force,
critical flow, critical depth,
hydraulic exponents, and
Channel transitions.
Canal fall- necessity and location- types of falls- Cross regulator and
distributory head regulator- their functions, Silt control devices, Canal
escapes- types of escapes.
WEIRS VERSUS BERRAGE
TYPES OF WEIRS
COMPONENT PARTS OF A WEIR
CAUSES OF FAILURE OF WEIRS & THEIR REMEDIES
DESIGN CONSIDERATIONS
DESIGN FOR SURFACE FLOW
DESIGN OF BARRAGE OR WEIR
Canal fall- necessity and location- types of falls- Cross regulator and
distributory head regulator- their functions, Silt control devices, Canal
escapes- types of escapes.
WEIRS VERSUS BERRAGE
TYPES OF WEIRS
COMPONENT PARTS OF A WEIR
CAUSES OF FAILURE OF WEIRS & THEIR REMEDIES
DESIGN CONSIDERATIONS
DESIGN FOR SURFACE FLOW
DESIGN OF BARRAGE OR WEIR
Uniform Flow: Basic concepts of free surface flows,
velocity and pressure distribution,
Mass, energy and momentum principle for prismatic and non-prismatic channels,
Review of Uniform flow: Standard equations,
hydraulically efficient channel sections,
compound sections,
Energy-depth relations:
Concept of specific energy, specific force,
critical flow, critical depth,
hydraulic exponents, and
Channel transitions.
An open channel is a conduit in which a liquid flows with a free surface.
The free surface is actually an interface between the moving liquid and an overlying fluid medium and will have constant pressure.
In civil engineering applications; water is the most common liquid with air at atmospheric pressure as the overlying fluid.
The prime motivating force for open channel flow is gravity.
An open channel is a conduit in which a liquid flows with a free surface.
The free surface is actually an interface between the moving liquid and an overlying fluid medium and will have constant pressure.
In civil engineering applications; water is the most common liquid with air at atmospheric pressure as the overlying fluid.
The prime motivating force for open channel flow is gravity.
An open channel is a conduit in which a liquid flows with a free surface.
The free surface is actually an interface between the moving liquid and an overlying fluid medium and will have constant pressure.
In civil engineering applications; water is the most common liquid with air at atmospheric pressure as the overlying fluid.
The prime motivating force for open channel flow is gravity.
Varried flow: GVF
Gradually Varied flow (G.V.F.)
Definition: If the depth of flow in a channel changes gradually over a long length of the channel, the flow is said to be gradually varied flow and is denoted by G.V.F.
Unsteady flow:
Equation of motion for unsteady flow,
Celerity of the gravity wave,
deep and shallow water waves,
open channel positive and negative surge.
The flow of water in rivers, canals, reservoirs, lakes, pools, and free- surface flow in storm water drains, conduits, pipes , galleries, tunnels and culverts, in which the velocities change with time, is defined as unsteady flow ( non - permanent, non - stationary , or time -variable free- surface water flow).
This unsteadiness may arise naturally or may be caused by human action. Floods in rivers, water level variation in estuaries due to tidal action etc. are examples of unsteady flows occurring naturally.
Surges created in power channels, water level variation in irrigation canals due to gate operation etc. are unsteady flows caused by human action
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2. HYDRAULICS ENGINEERING
• A scientific fluid flow particularly in water
thoroughly in pipe, open channel, orifice and
embankment, including the problem related
to energy and pressure.
• Related to water or fluid in dynamic condition.
3. CONTENT
What is Open Channel
Types of Open Channel
Types of flowing water and control
Solution of uniform flow in Open Channel
4. OPEN CHANNEL
An open channel :
a)The stream not completely enclosed by solid
boundaries
b)It has free surface subjected only to
atmospheric pressure.
c)Referred as free-surface flow or gravity flow
5. Open Channel
TYPES OF OPEN CHANNEL
Natural Channel
Irregular shape
i.e : river, hillsides
rivulets, tidal etuaries
Artificial Channel
Regular shape
i.e : drains, culverts,
sewer, tunnels
7. TYPES OF FLOWING WATER AND ITS
CONTROL
Rapidly
Varied Flow
i.e : hydraulic
jump
Non-Uniform Flow
≠ 0
Uniform Flow
= 0
Gradually
Varied flow
i.e : upstream
of obstruction
Open
Channel
Steady Flow
= 0
Open Channel
Unsteady Flow
≠ 0
8. TYPES OF FLOWING WATER AND ITS
CONTROL
Steady
• y (depth of water) and v (velocity) remain constant
with respect to time
Unsteady Flow
• y and v change with time
9. TYPES OF FLOWING WATER AND ITS
CONTROL
Uniform
• y (depth of water) and v (velocity) remain constant
along the channel. Figure 2.0
Non - uniform Flow
• y and v change along the length of the
channel
Figure 2.0
10. • Flow Classifications
1) Depending on the Reynolds number, Re
– Laminar Flow (if Re < 500): very slow and shallow
flowing water in very smooth open channels.
– Turbulent Flow (if Re > 1000): ordinary flow in
ordinary open channels.
– Transition Flow (if 500 < Re < 1000)
TYPES OF FLOWING WATER AND ITS
CONTROL
V = average channel velocity
L = length of channel
v = kinematic viscosity of fluid
11. 2) Depending on Froude number, Fr
– Fr = 1 : Critical Flow
– Fr < 1 : Subcritical Flow – slow flowing water
– Fr > 1 : Supercritical Flow – fast flowing water
TYPES OF FLOWING WATER AND ITS
CONTROL
V = average channel velocity
g = gravity acceralation
D = hydraulics water depth
15. TYPES OF FLOWING WATER AND ITS
CONTROL
Critical Section (In uniform and non-uniform flow)
1) If So < Sc, y > yc : Subcritical flow
2) If So = Sc, y = yc : Critical flow
3) If So > Sc, y < yc : Supercritical flow
Figure 3.0
18. • The terminology of geometric elements
y : depth of flow T : top width b : bottom channel width
m : side slope So : channel bottom slope v : average flow density
Fr : Froude number Re : Reynold number L : length of channel
Q : flow rates , Q = AV A : area of the flow P : wetted perimeter
R: hydraulic radius at cross
section
D : hydraulics water depth V : volume
ν : velocity E : specific energy ∆z : weir height
θ : flow temperature q = discharge over width
(m)
GEOMETRIC PROPERTIES OF OPEN
CHANNELS
19. Type of
channel
TOP WIDTH,
T
AREA, A WETTED
PERIMETER, P
RECTANGULAR B By B + 2y
TRAPEZOIDAL B+2my By + my2
B+2y √ 1+m2
GEOMETRIC PROPERTIES OF OPEN
CHANNELS
Where,
20. UNIFORM FLOW IN OPEN CHANNEL
Uniform flow is an equilibrium condition that flow
tends to if the channel :
a)constant slope
b)constant cross section
c)constant roughness
d)depth, water area, velocity and discharge at every
section of channel are constant
e)channel bed, water surface and energy line are
parallel, So = Sw = S
f)y1 = y2 , V1 = V2
21. • CHEZY FORMULA :
UNIFORM FLOW IN OPEN CHANNEL
Where ; V = mean velocity (m/s)
C = Chezy’s factor of flow resistance (m1/2
/s)
R = hydraulic radius
So = slope of energy line
Q = Discharge (m3
/s)
• MANNING FORMULA :
Where ; V = mean velocity (m/s)
n = Manning’s coefficient of roughness (s/m1/3
)
R = hydraulic radius
So = slope of energy line
Q = Discharge (m3
/s)
22. UNIFORM FLOW IN OPEN CHANNEL
Closed conduits flowing partly full
Corrugated metal storm drains 0.010
Concrete culvert 0.024
Unfinished concrete 0.013
Clay drain tile 0.014
Lined or built up channels
Unpainted steel 0.012
Planed wood 0.012
Unplaned wood 0.013
Trowel – finished concrete 0.013
Rough concrete 0.017
Glazed brick 0.020
Brick in cement mortar 0.013
Excavated channels
Clean earth (straight channel) 0.022
Earth with weeds (winding channel) 0.030
Natural streams
Clean and straight 0.030
Weedy reaches, deep pools 0.100
Typical values of Manning’s coefficient, n
23. SOLUTION IN OPEN CHANNEL
• Conveyor Factor
From eq
We obtain ;
For Chezy
For Manning
24. • Section Factor, Z
For Chezy ;
For Manning;
SOLUTION IN OPEN CHANNEL
• Thus, normal depth, yo can be obtain by using
trial and error method
25. SOLUTION IN OPEN CHANNEL
• Example :
Given trapezoidal channel 10m wide with side
slope of 1:1.5. Bed slope is 0.0003. The
channel with concrete lining, n = 0.012.
Calculate the velocity, V and flow rate, Q
when the flow depth is 3.0m. If the flow rate
is 50m/s, determine the slope, So of channel.