1
RIVER ENGINEERING ANDSEDIMENT TRANSPORT
COURSE CODE:WRIE-5133
PreparedBY: AMANUELB. MSC(hydraulicEngineering)
GErd
2
River is any body of fresh water flowing from an upland source to a
large lake or to the sea, fed by such sources as springs and
tributary streams.
River is an important source of water for domestic, irrigation,
industrial consumption and have been useful in providing
facilities for navigation, recreation, hydropower generation, and
waste disposal.
Rivers are continuously change their forms and patterns and other
morphological characteristics in space and time due to changes in:
➢ Water discharge
➢ Sediment discharge
1. River Characteristics
1.River Characteristics
The changes in water and sediment discharge may be caused by;
1. Natural elements (natural forces)
✓ Discharge is naturally variable.
2. Anthropogenic elements
✓ Human interference in the fluvial system it includes
a. Land developments
❖ Land clearance, Infrastructure building and Land use change.
b. River developments
❖ Hydraulic structures
❖ River channelization, and Gravel and sand mining
3
4
The Total area from which surface runoff flows to a given point of
concentration is called a catchment area
Hence, a catchment area is always connected to a certain point of
concentration, By summing the partial watershed areas of all the
tributaries, and by adding the areas draining directly into the
stream, total area of the watershed above the concentration point is
obtained.
River characteristics
5
Example Exploitation Mechanisms , GERD
River characteristics
6
River characteristics
7
Drainage Patterns: a watershed observed in plan form (map view) is
its drainage pattern which control the overall topography and
geologic structure of the watershed
Stream Ordering: A method of ordering, the hierarchy of natural
channels within a watershed was developed by Horton (1945). but
the modified system of Strahler (1957) is probably the most popular
today.
 Start at the headwaters of the river
 When streams/river of the same order converge the resultant
stream/river becomes a higher order stream.
 The convergence of a lower order stream with a higher order stream
does not change the status
River characteristics
8
Strahler’s stream ordering system
The uppermost channels in a drainage network (i.e., headwater
channels with no upstream tributaries) are designated as first-
order streams down to their first confluence
Reading assignment:-Horton, Shreve, Hack and Topological
River characteristics
9
Streams can be classified based on the balance and timing of
the storm flow and base flow components.
Ephemeral streams flow only during or immediately after
periods of precipitation. generally flow less than 30 days per year.
Intermittent streams flow only during certain times of the year.
Seasonal flow usually lasts longer than 30 days per year.
Perennial streams flow continuously during both wet and dry
times.
River characteristics
10
Channel and Ground Water Relationships: Interactions
between ground water and the channel vary throughout the
watershed.
River characteristics
11
The overall longitudinal profile of most streams can be
roughly divided into three zones
Zone 1, or headwaters (or upper course) often has the steepest
gradient. downstream(erosive stream characteristics)
Zone 2, the transfer zone (or Middle course) receives some of
the eroded material. It is usually characterized by wide
floodplains. This transitional reach of the stream is generally the
most stable
Zone 3, the depositional zone; Longitudinal slope flattens;
discharge and gradual deposition of sediment increases.
River characteristics
12
River characteristics
13
River characteristics
14
1.2.1 Types of flow and Water Movement in Rivers
Laminar versus turbulent: Laminar flow occurs relatively at
low fluid velocity. The flow is visualized as layers, The shear
stress in laminar flow is given by Newton’s law of viscosity as
(1.1)
Where μ is dynamic viscosity, ρ is density of water and ν is
kinematic viscosity ( ν = 10-6 m2/s at 200C).
River Engineering
2 River Hydraulics
15
 The layers close to the bottom have slower velocity and therefore
there is a shear stress between the different "layers" since the
upper layer moves faster than the layer below
 This shear stress can also be called viscous shear stress since it is
caused by the viscosity of water.
River Engineering
1.2 River Hydraulics
16
Most flows in nature are turbulent. Turbulence is generated by
instability in the flow, A typical phenomenon of turbulent flow is
the fluctuation of velocity
(1.2)
Where U and W are instantaneous velocity, in x and z directions,
respectively
u and w are time-averaged velocity, U’ and w’ are instantaneous
velocity fluctuation in x and z directions respectively
River Engineering
River Hydraulics
17
Turbulent flow is often given as the mean flow, described by u
and w. The turbulent shear stress, given by time-averaging of
the Navier – Stokes equation, is
(1.3)
both viscosity and turbulence contribute to shear stress. The total
shear stress is
(1 4)
River Engineering
River Hydraulics
18
Steady versus unsteady: A flow is steady when the flow
properties (e.g. density, velocity, pressure etc.) at any point are
constant with respect to time.
Uniform versus non-uniform: A flow is uniform when the flow
depth and velocity does not change along the flow direction.
River Engineering
River Hdraulics
19
Boundary layer flow:
Prandtl developed the concept of the boundary layer. It provides
an important link between ideal-fluid flow and real-fluid flow
For fluids having small viscosity, the effect of internal friction in
the flow is appreciable only in a thin layer surrounding the flow
boundaries.
However, we will demonstrate that the boundary layer fulfill the
whole flow in open channels
The boundary layer thickness (δ) is defined as the distance from
the boundary surface to the point where u = 0.995 U.
River Engineering
River Hydraulics
20
figure1.7 Development of the boundary layer.
River Engineering
River Hydraulics
21
Example1 Given that the flow velocity at a depth of water 10m is
1m/s. calculate x value where the boundary layer flow starts to
fulfill the whole depth and decide the type of the boundary layer
flow
Solution Based on the expression for turbulent boundary layer flow
River Engineering
River Hydraulics
22
Prandtl’s Mixing Length Theory
Prandtl introduced the mixing length concept in order to calculate
the turbulent shear stress. He assumed that a fluid parcel travels
over a length l before its momentum is transferred.
Figure1.8 Prandtl’s mixing length theory
River Engineering
River Hydraulics
23
Fig.1.8 shows the time-averaged velocity profile. The fluid parcel
located in layer 1 and having the velocity u1, moves to layer 2
due to eddy motion. There is no momentum transfer during
movement, i.e. the velocity of the fluid parcel is still u1 when it
just arrives at layer 2, and decreases to u2 sometime later by the
momentum exchange with other fluid in layer 2. This action will
speed up the fluid in layer 2, which can be seen as a turbulent
shear stress τt acting on layer 2 trying to accelerate layer 2
The horizontal instantaneous velocity fluctuation of the fluid
parcel in layer 2 is
(1.5)
River Engineering
River Hydraulics
24
Assuming the vertical instantaneous velocity fluctuation having the
same magnitude
(1.6)
the turbulent shear stress now becomes
(1.7)
If we define kinematic eddy viscosity as
(1.8)
River Engineering
River Hydraulics
25
The turbulent shear stress can be expressed in a way similar to
viscous shear stress as follows
(1.9)
1.2.2 Fluid Shear Stress and Friction Velocity
Fluid shear stress: The forces on a fluid element with unit width are
shown in Fig.1.9. Because the flow is uniform (no acceleration),
the force equilibrium in x-direction reads as
(1.10)
River Engineering
River Hydraulics
26
For small slope we have sinβ ≈ tan β = S. Therefore
(1.11)
The bottom shear stress (z=0) in uniform flow is thus
(1.12)
Bottom shear stress: In the case of arbitrary cross section, the
shear stress acting on the boundary changes along the wetted
perimeter Fig.1.9. Then the bottom shear stress means actually
the average of the shear stress along the wetted perimeter.
River Engineering
River Hydraulics
27
Figure 1.9: Fluid force and bottom shear stress.
Assuming uniform flow and balancing the forces acting on the darker
area in the figure above.
River Engineering
River Hydraulics
28
(1.13)
Where P is the wetted perimeter and A the area of the cross section.
By applying the hydraulic radius (R = A/P) we get
(1.14)
In the case of wide and shallow channel, R is approximately equal to
h; eq (.14) is identical to
River Engineering
River Hydraulics
29
Friction velocity: The bottom shear stress is often represented by
friction velocity, defined by
(1.15)
Inserting eq (1.14) into eq (1.15), we get
(1.16)
Viscous shear stress versus turbulent shear stress:
The shear stress in flow increases linearly with water depth. As the
shear stress is consisted of viscosity and turbulence, we have
River Engineering
River Hydraulics
30
(1.17)
On the bottom surface, there is no turbulence (u = w = 0, u´ = w´ =
0), the turbulent shear stress
(1.18)
Therefore, in a very thin layer above the bottom, viscous shear stress
is dominant, and hence the flow is laminar. This thin layer is
called viscous sub-layer. Otherwise the flow is turbulent.
River Engineering
River Hydraulics
31
Scientific Classification of flow layer: Figure 1.9 shows the
classification of flow layers. The shear stress in flow increases
linearly with water depth
Figure 1.10: Classification of flow region
River Engineering
River Hydraulics
32
Viscous sub layer: In this layer there is almost no turbulence.
Measurement shows that the viscous shear stress in this layer is
constant. The flow is laminar. Above this layer the flow is
turbulent.
Transition layer: also called buffer layer. Viscosity and
turbulence are equally important.
Turbulent logarithmic layer: viscous shear stress can be
neglected in this layer. it is assumed that the turbulent shear stress
is constant and equal to bottom shear stress. in this layer Prandtl
introduced the mixing length concept and derived the logarithmic
velocity profile.
Turbulent outer layer: velocities are almost constant because of
the presence of large eddies which produce strong mixing of the
flow.
River Engineering
River Hydraulics
33
Measurements show that the turbulent shear stress is constant and
equal to the bottom shear stress. By assuming the mixing length
is proportional to the distance to the bottom (l = kz),
Therefore, from engineering point of view, a turbulent layer with
the logarithmic velocity profile covers the transitional layer, the
turbulent logarithmic layer and the turbulent outer layer
At the viscous sub layer the effect of the bottom (or wall)
roughness on the velocity distribution was first investigated for
pipe flow by Nikurase, Based on experimental data, it was found
River Engineering
River Hydraulics
34
Engineering Classification of flow layer
Hydraulically smooth flow
bed roughness is much smaller than the thickness of viscous sub
layer. Therefore, the bed roughness will not affect the velocity
distribution.
Hydraulically rough flow
bed roughness is so large that it produces eddies close to the bottom.
A viscous sub layer does not exist and the flow velocity is not
dependent on viscosity.
River Engineering
River Hydraulics
35
Hydraulically transitional flow
velocity distribution is affected by bed roughness and viscosity
Figure 1.11: Hydraulically smooth and rough flows
River Engineering
River Hydraulics
36
Velocity distribution
Turbulent layer
In the turbulent layer the total shear stress contains only the
turbulent shear stress. The total shear stress increases linearly
with depth
River Engineering
River Hydraulics
37
Where the integration constant z0 is the elevation corresponding to
zero velocity (uz= z0 =0), given by Nikurase by the study of the
pipe flows.
River Engineering
River Hydraulics
38
River Engineering
River Hydraulics
39
Viscous sub layer
In the case of hydraulically smooth flow there is a viscous subl ayer.
Viscous shear stress is constant in this layer and equal to the
bottom shear stress, i.e.
River Engineering
River Hydraulics
40
Velocity profile
The linear velocity distribution intersect with the logarithmic
velocity distribution at the elevation z =11.6ν/u∗, yielding a
theoretical viscous sub layer thickness
River Engineering
River Hydraulics
41
Bed roughness
ks is also called the equivalent Nikurase grain roughness
The only situation where we can directly obtain the bed roughness
is a flat bed consisting of uniform spheres, where ks = diameter of
sphere. But in nature the bed is composed of grains with different
size. Moreover, the bed is not flat, various bed forms,
e.g. sand ripples or dunes, will appear depending on grain
size and current and the bed roughness can be obtained
indirectly by the velocity measurement
River Engineering
River Hydraulics
42
River Engineering
River Hydraulics
43
Example2 Given that the flume tests with water depth h = 1m, the
measured velocities at the elevation of 0.1, 0.2, 0.4 and 0.6 m are
0.53, 0.58, 0.64 and 0.67 m/s, respectively and The fitting of the
measured velocities to the logarithmic velocity profile by the least
square method gives u∗= 0.03 m/s and z0 = 0.0000825 m. Calculate
bed roughness (ks), bottom shear stress and decide the types of flow
layer
Solution
Ks = Zo /0.033 = 0.0025m τ = ρU*2 = 0.9 N/m2 We can
confirm that it is hydraulically rough flow by u* ks /ν = 75 > 70
River Engineering
River Hydraulics
44
Types of rivers
Rivers can be classified according to different criteria:
Classification based on variation of discharge
1. Perennial River: Perennial Rivers have adequate discharge
throughout the year.
2. Non-perennial rivers: their flow is quite high during and after
rainy seasons and reduces significantly during dry seasons.
River Engineering
1.3 River morphology and regime
45
3. Flashy rivers: in these rives, there is a sudden increases in
discharge. The river stage rises and falls in a very short period.
4. Virgin rivers: these are those rivers which get completely dried
up before joining another river and sea
Classification based on the location of reach:
1. Mountainous rivers: they flow in hilly and mountainous
regions. These rivers
are further divided into rocky rivers and Boulder Rivers.
2. Rivers in flood plains: after the boulder stages, a river enters the
flood plains having alluvial soil. The bed and banks of river are
made up of sand and silt.
River Engineering
River morphology and regime
46
3. Delta Rivers: when a river enters a deltaic plain, it splits into a
number of small branches due to very flat slopes. There is shoal
formation and braiding of the channels in the delta rivers.
4. Tidal rivers: just before joining a sea or ocean, the river becomes
a tidal river. In a tidal river, there are periodic changes in water
level due to tides.
River Engineering
River morphology and regime
47
Classification based on plan-form:
1. Straight rivers: these rivers are straight in plain and have cross-
sectional shape of a trough. The maximum velocity of flow usually
occurs in the middle of the section.
2. Meandering Rivers: follow a winding course. They consist of a
series of bends of alternate curvature in the plain. The successive
curves are connected by small straight reach of the river called
crossovers or crossings.
3. Braided rivers: flow in two or more channels around alluvial
islands developed due to deposition of silt.
River Engineering
River Hydraulics
48
Figure 1.13: Straight, meandering, and braided rivers
River Engineering
River morphology and regime
49
Stages of rivers
As the river flows from its origin in a mountain to a sea, it passes
through various stages. A river generally has the following 4
stages:
1. Rocky stages
2. boulder stage
3. alluvial stage
4. deltaic rivers
River Engineering
River morphology and regime
50
1. Rocky stage: it is also called the hilly or mountainous stage or the
incised stage.
 The flow channel is formed on the rock by degradation and
cutting.
 The cross section of the river is usually made up of rock.
 The river has a very steep slope and velocity of water is quite
high.
 As the beds and banks are rocky, erosion hazard is less.
 It is ideal for the construction of dam.
River Engineering
River morphology and regime
51
2. Boulder stage: the bed and banks are usually composed of large
boulders, gravels and shingles.
 The bed slop is quite steep
 The river first flows through wide shallow and interlaced
channels and then develop a straight course.
 Most of the diversion head works are constructed in this stage.
3. Deltaic stage: is the last stage of the river just before it discharge
into the sea. The river is unable to carry its sediment load. As a
result, It drops its sediments and gets divided into channels on
either side of the deposited sediment and form the delta.
River Engineering
River morphology and regime
52
4. Alluvial stage: the river in this stage flows in a zig- zag manner
known as meandering.
 The cross section of the river is made up of alluvial sand and silt.
 The materials get eroded form the concave side (the outer side) of
the bend and get
 deposited on the convex side (inner side) of the bend.
 The bed slope is flat and consequently the velocity is small.
 The behavior of the river in this stage depends up on the silt
charge and the flood discharge.
 River training works are required in the alluvial stage.
River Engineering
River morphology and regime
53
Types of alluvial rivers in flood plains (alluvial stage) is future sub
divided in to
A. Aggrading or accreting type: is a silting river. such as: heavy
sediment load, construction of an obstruction across a river, sudden
intrusion of sediment from tributary.
B. Degrading type; if the river bed is constantly getting scoured it
is known as degrading.
C. Stable type: a river that does not change its alignment, slope and
its regime is called Stable River.
D. Deltaic River: it splits into a number of small branches due to
very flat slopes.
River Engineering
River morphology and regime

More Related Content

PPTX
Chapter 4 groundwater hydrology
PPSX
1 d & 2d Hydraulic modelling
PPT
Hydrology
PDF
Sediment transport
PPT
Drainage Basins
PPTX
Darcys law
PPT
Hydrograph explanation and animation
PPTX
alluvial soil
Chapter 4 groundwater hydrology
1 d & 2d Hydraulic modelling
Hydrology
Sediment transport
Drainage Basins
Darcys law
Hydrograph explanation and animation
alluvial soil

What's hot (20)

PPTX
Fluvial/River Processes
PDF
Surface runoff
PPTX
Rivers and drainage basins n
PDF
Groundwater modelling (an Introduction)
PPTX
Sediments transportation
PPTX
Principles of groundwater flow
PDF
RUNOFF AND SEDIMENT YIELD
PPTX
Geology and geological_timescale_of_bang
PPTX
groundwater
PDF
3.Chapter Two.pdf
PDF
Introduction to ground water hydrology
PPTX
Introduction to River Engineering
PPTX
Groundwater exploration
PPT
PPTX
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
PPTX
Presentation on Flood of Bangladesh
PPTX
ARTIFICIAL RECHARGE OF GROUNDWATER
PPTX
Hydraulic jump
PPT
Graphical presentation and classification for assessment of Ground water Qual...
PPTX
Fluvial/River Processes
Surface runoff
Rivers and drainage basins n
Groundwater modelling (an Introduction)
Sediments transportation
Principles of groundwater flow
RUNOFF AND SEDIMENT YIELD
Geology and geological_timescale_of_bang
groundwater
3.Chapter Two.pdf
Introduction to ground water hydrology
Introduction to River Engineering
Groundwater exploration
Unsteady radial flow in a confined aquifer Nonequilibrium well pumping equation
Presentation on Flood of Bangladesh
ARTIFICIAL RECHARGE OF GROUNDWATER
Hydraulic jump
Graphical presentation and classification for assessment of Ground water Qual...
Ad

Similar to characteristics and morphological change of the river.ppt (20)

PPT
Bentuk bentang alam fluvial, materi kuliah semester 2
PDF
Open Channel Flows (Lecture notes 04)
PDF
Hydraulics Notes 1_ One Slide on a page.pdf
PPTX
Open channel hydraulics
PDF
CE 356 Hydraulic Engineering Introduction
PPT
Types of flow in open channel
PPT
Chapter 1..ppt
PDF
Hydraulic Engineering Practical file
PDF
River Hydraulics CHAP 1hydrauliquefluial.pdf
PPTX
UNIFORM FLOW OCF.pptx
PPTX
Unit I (Introduction to OCF).pptx
PPTX
Hydraulics chapter 1
PPTX
Open Channel Flow: fluid flow with a free surface
PDF
wk1_Introduction.pdf
PPTX
UNIT 1 UNIFORM FLOW.pptx
PPTX
CAMBRIDGE GEOGRAPHY AS - HYDROLOGY AND FLUVIAL GEOMORPHOLOGY: 1.3 RIVER CHANN...
PPTX
River channel processes
PPTX
Easc116 rivers
PPTX
Introduction to open channel flow in detail
Bentuk bentang alam fluvial, materi kuliah semester 2
Open Channel Flows (Lecture notes 04)
Hydraulics Notes 1_ One Slide on a page.pdf
Open channel hydraulics
CE 356 Hydraulic Engineering Introduction
Types of flow in open channel
Chapter 1..ppt
Hydraulic Engineering Practical file
River Hydraulics CHAP 1hydrauliquefluial.pdf
UNIFORM FLOW OCF.pptx
Unit I (Introduction to OCF).pptx
Hydraulics chapter 1
Open Channel Flow: fluid flow with a free surface
wk1_Introduction.pdf
UNIT 1 UNIFORM FLOW.pptx
CAMBRIDGE GEOGRAPHY AS - HYDROLOGY AND FLUVIAL GEOMORPHOLOGY: 1.3 RIVER CHANN...
River channel processes
Easc116 rivers
Introduction to open channel flow in detail
Ad

Recently uploaded (20)

PDF
null (2) bgfbg bfgb bfgb fbfg bfbgf b.pdf
PDF
August 2025 - Top 10 Read Articles in Network Security & Its Applications
PPTX
Chemical Technological Processes, Feasibility Study and Chemical Process Indu...
PDF
Level 2 – IBM Data and AI Fundamentals (1)_v1.1.PDF
PPTX
Management Information system : MIS-e-Business Systems.pptx
PPTX
Module 8- Technological and Communication Skills.pptx
PPTX
introduction to high performance computing
PDF
Exploratory_Data_Analysis_Fundamentals.pdf
PDF
PREDICTION OF DIABETES FROM ELECTRONIC HEALTH RECORDS
PPTX
Information Storage and Retrieval Techniques Unit III
PDF
A SYSTEMATIC REVIEW OF APPLICATIONS IN FRAUD DETECTION
PPTX
tack Data Structure with Array and Linked List Implementation, Push and Pop O...
PPTX
Amdahl’s law is explained in the above power point presentations
PDF
22EC502-MICROCONTROLLER AND INTERFACING-8051 MICROCONTROLLER.pdf
PDF
Categorization of Factors Affecting Classification Algorithms Selection
PDF
Visual Aids for Exploratory Data Analysis.pdf
PDF
EXPLORING LEARNING ENGAGEMENT FACTORS INFLUENCING BEHAVIORAL, COGNITIVE, AND ...
PPTX
AUTOMOTIVE ENGINE MANAGEMENT (MECHATRONICS).pptx
PDF
Influence of Green Infrastructure on Residents’ Endorsement of the New Ecolog...
PPTX
Current and future trends in Computer Vision.pptx
null (2) bgfbg bfgb bfgb fbfg bfbgf b.pdf
August 2025 - Top 10 Read Articles in Network Security & Its Applications
Chemical Technological Processes, Feasibility Study and Chemical Process Indu...
Level 2 – IBM Data and AI Fundamentals (1)_v1.1.PDF
Management Information system : MIS-e-Business Systems.pptx
Module 8- Technological and Communication Skills.pptx
introduction to high performance computing
Exploratory_Data_Analysis_Fundamentals.pdf
PREDICTION OF DIABETES FROM ELECTRONIC HEALTH RECORDS
Information Storage and Retrieval Techniques Unit III
A SYSTEMATIC REVIEW OF APPLICATIONS IN FRAUD DETECTION
tack Data Structure with Array and Linked List Implementation, Push and Pop O...
Amdahl’s law is explained in the above power point presentations
22EC502-MICROCONTROLLER AND INTERFACING-8051 MICROCONTROLLER.pdf
Categorization of Factors Affecting Classification Algorithms Selection
Visual Aids for Exploratory Data Analysis.pdf
EXPLORING LEARNING ENGAGEMENT FACTORS INFLUENCING BEHAVIORAL, COGNITIVE, AND ...
AUTOMOTIVE ENGINE MANAGEMENT (MECHATRONICS).pptx
Influence of Green Infrastructure on Residents’ Endorsement of the New Ecolog...
Current and future trends in Computer Vision.pptx

characteristics and morphological change of the river.ppt

  • 1. 1 RIVER ENGINEERING ANDSEDIMENT TRANSPORT COURSE CODE:WRIE-5133 PreparedBY: AMANUELB. MSC(hydraulicEngineering) GErd
  • 2. 2 River is any body of fresh water flowing from an upland source to a large lake or to the sea, fed by such sources as springs and tributary streams. River is an important source of water for domestic, irrigation, industrial consumption and have been useful in providing facilities for navigation, recreation, hydropower generation, and waste disposal. Rivers are continuously change their forms and patterns and other morphological characteristics in space and time due to changes in: ➢ Water discharge ➢ Sediment discharge 1. River Characteristics
  • 3. 1.River Characteristics The changes in water and sediment discharge may be caused by; 1. Natural elements (natural forces) ✓ Discharge is naturally variable. 2. Anthropogenic elements ✓ Human interference in the fluvial system it includes a. Land developments ❖ Land clearance, Infrastructure building and Land use change. b. River developments ❖ Hydraulic structures ❖ River channelization, and Gravel and sand mining 3
  • 4. 4 The Total area from which surface runoff flows to a given point of concentration is called a catchment area Hence, a catchment area is always connected to a certain point of concentration, By summing the partial watershed areas of all the tributaries, and by adding the areas draining directly into the stream, total area of the watershed above the concentration point is obtained. River characteristics
  • 5. 5 Example Exploitation Mechanisms , GERD River characteristics
  • 7. 7 Drainage Patterns: a watershed observed in plan form (map view) is its drainage pattern which control the overall topography and geologic structure of the watershed Stream Ordering: A method of ordering, the hierarchy of natural channels within a watershed was developed by Horton (1945). but the modified system of Strahler (1957) is probably the most popular today.  Start at the headwaters of the river  When streams/river of the same order converge the resultant stream/river becomes a higher order stream.  The convergence of a lower order stream with a higher order stream does not change the status River characteristics
  • 8. 8 Strahler’s stream ordering system The uppermost channels in a drainage network (i.e., headwater channels with no upstream tributaries) are designated as first- order streams down to their first confluence Reading assignment:-Horton, Shreve, Hack and Topological River characteristics
  • 9. 9 Streams can be classified based on the balance and timing of the storm flow and base flow components. Ephemeral streams flow only during or immediately after periods of precipitation. generally flow less than 30 days per year. Intermittent streams flow only during certain times of the year. Seasonal flow usually lasts longer than 30 days per year. Perennial streams flow continuously during both wet and dry times. River characteristics
  • 10. 10 Channel and Ground Water Relationships: Interactions between ground water and the channel vary throughout the watershed. River characteristics
  • 11. 11 The overall longitudinal profile of most streams can be roughly divided into three zones Zone 1, or headwaters (or upper course) often has the steepest gradient. downstream(erosive stream characteristics) Zone 2, the transfer zone (or Middle course) receives some of the eroded material. It is usually characterized by wide floodplains. This transitional reach of the stream is generally the most stable Zone 3, the depositional zone; Longitudinal slope flattens; discharge and gradual deposition of sediment increases. River characteristics
  • 14. 14 1.2.1 Types of flow and Water Movement in Rivers Laminar versus turbulent: Laminar flow occurs relatively at low fluid velocity. The flow is visualized as layers, The shear stress in laminar flow is given by Newton’s law of viscosity as (1.1) Where μ is dynamic viscosity, ρ is density of water and ν is kinematic viscosity ( ν = 10-6 m2/s at 200C). River Engineering 2 River Hydraulics
  • 15. 15  The layers close to the bottom have slower velocity and therefore there is a shear stress between the different "layers" since the upper layer moves faster than the layer below  This shear stress can also be called viscous shear stress since it is caused by the viscosity of water. River Engineering 1.2 River Hydraulics
  • 16. 16 Most flows in nature are turbulent. Turbulence is generated by instability in the flow, A typical phenomenon of turbulent flow is the fluctuation of velocity (1.2) Where U and W are instantaneous velocity, in x and z directions, respectively u and w are time-averaged velocity, U’ and w’ are instantaneous velocity fluctuation in x and z directions respectively River Engineering River Hydraulics
  • 17. 17 Turbulent flow is often given as the mean flow, described by u and w. The turbulent shear stress, given by time-averaging of the Navier – Stokes equation, is (1.3) both viscosity and turbulence contribute to shear stress. The total shear stress is (1 4) River Engineering River Hydraulics
  • 18. 18 Steady versus unsteady: A flow is steady when the flow properties (e.g. density, velocity, pressure etc.) at any point are constant with respect to time. Uniform versus non-uniform: A flow is uniform when the flow depth and velocity does not change along the flow direction. River Engineering River Hdraulics
  • 19. 19 Boundary layer flow: Prandtl developed the concept of the boundary layer. It provides an important link between ideal-fluid flow and real-fluid flow For fluids having small viscosity, the effect of internal friction in the flow is appreciable only in a thin layer surrounding the flow boundaries. However, we will demonstrate that the boundary layer fulfill the whole flow in open channels The boundary layer thickness (δ) is defined as the distance from the boundary surface to the point where u = 0.995 U. River Engineering River Hydraulics
  • 20. 20 figure1.7 Development of the boundary layer. River Engineering River Hydraulics
  • 21. 21 Example1 Given that the flow velocity at a depth of water 10m is 1m/s. calculate x value where the boundary layer flow starts to fulfill the whole depth and decide the type of the boundary layer flow Solution Based on the expression for turbulent boundary layer flow River Engineering River Hydraulics
  • 22. 22 Prandtl’s Mixing Length Theory Prandtl introduced the mixing length concept in order to calculate the turbulent shear stress. He assumed that a fluid parcel travels over a length l before its momentum is transferred. Figure1.8 Prandtl’s mixing length theory River Engineering River Hydraulics
  • 23. 23 Fig.1.8 shows the time-averaged velocity profile. The fluid parcel located in layer 1 and having the velocity u1, moves to layer 2 due to eddy motion. There is no momentum transfer during movement, i.e. the velocity of the fluid parcel is still u1 when it just arrives at layer 2, and decreases to u2 sometime later by the momentum exchange with other fluid in layer 2. This action will speed up the fluid in layer 2, which can be seen as a turbulent shear stress τt acting on layer 2 trying to accelerate layer 2 The horizontal instantaneous velocity fluctuation of the fluid parcel in layer 2 is (1.5) River Engineering River Hydraulics
  • 24. 24 Assuming the vertical instantaneous velocity fluctuation having the same magnitude (1.6) the turbulent shear stress now becomes (1.7) If we define kinematic eddy viscosity as (1.8) River Engineering River Hydraulics
  • 25. 25 The turbulent shear stress can be expressed in a way similar to viscous shear stress as follows (1.9) 1.2.2 Fluid Shear Stress and Friction Velocity Fluid shear stress: The forces on a fluid element with unit width are shown in Fig.1.9. Because the flow is uniform (no acceleration), the force equilibrium in x-direction reads as (1.10) River Engineering River Hydraulics
  • 26. 26 For small slope we have sinβ ≈ tan β = S. Therefore (1.11) The bottom shear stress (z=0) in uniform flow is thus (1.12) Bottom shear stress: In the case of arbitrary cross section, the shear stress acting on the boundary changes along the wetted perimeter Fig.1.9. Then the bottom shear stress means actually the average of the shear stress along the wetted perimeter. River Engineering River Hydraulics
  • 27. 27 Figure 1.9: Fluid force and bottom shear stress. Assuming uniform flow and balancing the forces acting on the darker area in the figure above. River Engineering River Hydraulics
  • 28. 28 (1.13) Where P is the wetted perimeter and A the area of the cross section. By applying the hydraulic radius (R = A/P) we get (1.14) In the case of wide and shallow channel, R is approximately equal to h; eq (.14) is identical to River Engineering River Hydraulics
  • 29. 29 Friction velocity: The bottom shear stress is often represented by friction velocity, defined by (1.15) Inserting eq (1.14) into eq (1.15), we get (1.16) Viscous shear stress versus turbulent shear stress: The shear stress in flow increases linearly with water depth. As the shear stress is consisted of viscosity and turbulence, we have River Engineering River Hydraulics
  • 30. 30 (1.17) On the bottom surface, there is no turbulence (u = w = 0, u´ = w´ = 0), the turbulent shear stress (1.18) Therefore, in a very thin layer above the bottom, viscous shear stress is dominant, and hence the flow is laminar. This thin layer is called viscous sub-layer. Otherwise the flow is turbulent. River Engineering River Hydraulics
  • 31. 31 Scientific Classification of flow layer: Figure 1.9 shows the classification of flow layers. The shear stress in flow increases linearly with water depth Figure 1.10: Classification of flow region River Engineering River Hydraulics
  • 32. 32 Viscous sub layer: In this layer there is almost no turbulence. Measurement shows that the viscous shear stress in this layer is constant. The flow is laminar. Above this layer the flow is turbulent. Transition layer: also called buffer layer. Viscosity and turbulence are equally important. Turbulent logarithmic layer: viscous shear stress can be neglected in this layer. it is assumed that the turbulent shear stress is constant and equal to bottom shear stress. in this layer Prandtl introduced the mixing length concept and derived the logarithmic velocity profile. Turbulent outer layer: velocities are almost constant because of the presence of large eddies which produce strong mixing of the flow. River Engineering River Hydraulics
  • 33. 33 Measurements show that the turbulent shear stress is constant and equal to the bottom shear stress. By assuming the mixing length is proportional to the distance to the bottom (l = kz), Therefore, from engineering point of view, a turbulent layer with the logarithmic velocity profile covers the transitional layer, the turbulent logarithmic layer and the turbulent outer layer At the viscous sub layer the effect of the bottom (or wall) roughness on the velocity distribution was first investigated for pipe flow by Nikurase, Based on experimental data, it was found River Engineering River Hydraulics
  • 34. 34 Engineering Classification of flow layer Hydraulically smooth flow bed roughness is much smaller than the thickness of viscous sub layer. Therefore, the bed roughness will not affect the velocity distribution. Hydraulically rough flow bed roughness is so large that it produces eddies close to the bottom. A viscous sub layer does not exist and the flow velocity is not dependent on viscosity. River Engineering River Hydraulics
  • 35. 35 Hydraulically transitional flow velocity distribution is affected by bed roughness and viscosity Figure 1.11: Hydraulically smooth and rough flows River Engineering River Hydraulics
  • 36. 36 Velocity distribution Turbulent layer In the turbulent layer the total shear stress contains only the turbulent shear stress. The total shear stress increases linearly with depth River Engineering River Hydraulics
  • 37. 37 Where the integration constant z0 is the elevation corresponding to zero velocity (uz= z0 =0), given by Nikurase by the study of the pipe flows. River Engineering River Hydraulics
  • 39. 39 Viscous sub layer In the case of hydraulically smooth flow there is a viscous subl ayer. Viscous shear stress is constant in this layer and equal to the bottom shear stress, i.e. River Engineering River Hydraulics
  • 40. 40 Velocity profile The linear velocity distribution intersect with the logarithmic velocity distribution at the elevation z =11.6ν/u∗, yielding a theoretical viscous sub layer thickness River Engineering River Hydraulics
  • 41. 41 Bed roughness ks is also called the equivalent Nikurase grain roughness The only situation where we can directly obtain the bed roughness is a flat bed consisting of uniform spheres, where ks = diameter of sphere. But in nature the bed is composed of grains with different size. Moreover, the bed is not flat, various bed forms, e.g. sand ripples or dunes, will appear depending on grain size and current and the bed roughness can be obtained indirectly by the velocity measurement River Engineering River Hydraulics
  • 43. 43 Example2 Given that the flume tests with water depth h = 1m, the measured velocities at the elevation of 0.1, 0.2, 0.4 and 0.6 m are 0.53, 0.58, 0.64 and 0.67 m/s, respectively and The fitting of the measured velocities to the logarithmic velocity profile by the least square method gives u∗= 0.03 m/s and z0 = 0.0000825 m. Calculate bed roughness (ks), bottom shear stress and decide the types of flow layer Solution Ks = Zo /0.033 = 0.0025m τ = ρU*2 = 0.9 N/m2 We can confirm that it is hydraulically rough flow by u* ks /ν = 75 > 70 River Engineering River Hydraulics
  • 44. 44 Types of rivers Rivers can be classified according to different criteria: Classification based on variation of discharge 1. Perennial River: Perennial Rivers have adequate discharge throughout the year. 2. Non-perennial rivers: their flow is quite high during and after rainy seasons and reduces significantly during dry seasons. River Engineering 1.3 River morphology and regime
  • 45. 45 3. Flashy rivers: in these rives, there is a sudden increases in discharge. The river stage rises and falls in a very short period. 4. Virgin rivers: these are those rivers which get completely dried up before joining another river and sea Classification based on the location of reach: 1. Mountainous rivers: they flow in hilly and mountainous regions. These rivers are further divided into rocky rivers and Boulder Rivers. 2. Rivers in flood plains: after the boulder stages, a river enters the flood plains having alluvial soil. The bed and banks of river are made up of sand and silt. River Engineering River morphology and regime
  • 46. 46 3. Delta Rivers: when a river enters a deltaic plain, it splits into a number of small branches due to very flat slopes. There is shoal formation and braiding of the channels in the delta rivers. 4. Tidal rivers: just before joining a sea or ocean, the river becomes a tidal river. In a tidal river, there are periodic changes in water level due to tides. River Engineering River morphology and regime
  • 47. 47 Classification based on plan-form: 1. Straight rivers: these rivers are straight in plain and have cross- sectional shape of a trough. The maximum velocity of flow usually occurs in the middle of the section. 2. Meandering Rivers: follow a winding course. They consist of a series of bends of alternate curvature in the plain. The successive curves are connected by small straight reach of the river called crossovers or crossings. 3. Braided rivers: flow in two or more channels around alluvial islands developed due to deposition of silt. River Engineering River Hydraulics
  • 48. 48 Figure 1.13: Straight, meandering, and braided rivers River Engineering River morphology and regime
  • 49. 49 Stages of rivers As the river flows from its origin in a mountain to a sea, it passes through various stages. A river generally has the following 4 stages: 1. Rocky stages 2. boulder stage 3. alluvial stage 4. deltaic rivers River Engineering River morphology and regime
  • 50. 50 1. Rocky stage: it is also called the hilly or mountainous stage or the incised stage.  The flow channel is formed on the rock by degradation and cutting.  The cross section of the river is usually made up of rock.  The river has a very steep slope and velocity of water is quite high.  As the beds and banks are rocky, erosion hazard is less.  It is ideal for the construction of dam. River Engineering River morphology and regime
  • 51. 51 2. Boulder stage: the bed and banks are usually composed of large boulders, gravels and shingles.  The bed slop is quite steep  The river first flows through wide shallow and interlaced channels and then develop a straight course.  Most of the diversion head works are constructed in this stage. 3. Deltaic stage: is the last stage of the river just before it discharge into the sea. The river is unable to carry its sediment load. As a result, It drops its sediments and gets divided into channels on either side of the deposited sediment and form the delta. River Engineering River morphology and regime
  • 52. 52 4. Alluvial stage: the river in this stage flows in a zig- zag manner known as meandering.  The cross section of the river is made up of alluvial sand and silt.  The materials get eroded form the concave side (the outer side) of the bend and get  deposited on the convex side (inner side) of the bend.  The bed slope is flat and consequently the velocity is small.  The behavior of the river in this stage depends up on the silt charge and the flood discharge.  River training works are required in the alluvial stage. River Engineering River morphology and regime
  • 53. 53 Types of alluvial rivers in flood plains (alluvial stage) is future sub divided in to A. Aggrading or accreting type: is a silting river. such as: heavy sediment load, construction of an obstruction across a river, sudden intrusion of sediment from tributary. B. Degrading type; if the river bed is constantly getting scoured it is known as degrading. C. Stable type: a river that does not change its alignment, slope and its regime is called Stable River. D. Deltaic River: it splits into a number of small branches due to very flat slopes. River Engineering River morphology and regime

Editor's Notes