River Discharge & Channel Characteristics (DP IB Geography)

Revision Note

River Discharge & Stream Flow

  • River discharge is the volume of water passing a given point over a set time

  • As rivers move downstream the characteristic features change

Bradshaw model

Diagram with blue gradient arrows showing changes in river characteristics from upstream to downstream, including discharge, channel width, depth, velocity, load quantity, particle size, bed roughness, and slope angle.
Bradshaw model

River Channel Characteristics

Component

Definition

Discharge

The volume of water passing a specific point in the river per unit of time increases downstream due to tributary contributions

Occupied channel width

The width of the river channel typically increases downstream as more water from tributaries is added

Channel depth

The depth of the river channel increases downstream as more water accumulates

Average velocity

The speed at which water flows within the river generally increases downstream with a greater volume of water and steeper gradients

Load quantity

Load quantity increases as the material is made smaller through erosion

Load particle size

Load particle size becomes smaller as the material is made smaller through erosion

Channel bed roughness

Channel bed roughness decreases as the river’s energy decreases allowing for accumulation of finer sediments leading to a smoother channel downstream

Slope angle 

The slope angle decreases as a river moves downstream

Hydraulic radius

A cross-sectional area of the flow divided by the wetted perimeter

How to measure discharge in a river

Diagram showing stream cross-section and labeled elements: measured stream length, velocity, cross-sectional area, and water depth. Formula: discharge = area_cs × velocity.
Measuring river discharge

Worked Example

Calculating Discharge

Step One-Depth

  • Calculate the mean depth

  • All units of measurement should be the same

  • The mean depth should be calculated in meters not centimetres

Depth measurements for Site One

 

1

2

3

4

5

6

7

8

Mean

Depth in mm

0.05

0.12

0.17

0.23

0.30

0.35

0.28

0.18

0.21

  • To calculate the mean depth add the 8 measurements together and divide by 8

  • This gives a measurement of mean depth = 0.21m

Step Two-Cross-sectional area

  • Cross-sectional area (m2) = width (m) x mean depth (m)

  • If the width is 4mx mean depth 0.21m the cross-sectional area = 0.84m2

Step Three - Velocity

Time Measurements for Site One

Time Measurement

Left

Center

Right

1st

35

28

37

2nd

42

30

39

3rd

36

27

45

Mean

37.7

28.3

40.3

  • To work out the mean time taken for the float to travel 10 metres for site one the following calculations need to be completed:

    • 37.7+28.3+40.3-106.3

    • 106.3 is then divided by 3 (number of positions) to give a mean time for site one of 35.43 seconds

    • Divide this by 10 to get the velocity in m/s

    • 35.43/10=3.543 seconds

    • The surface velocity for site one is 3.543 m/s

Step Four-Discharge

  • Discharge = Cross-sectional Area 0.84m2x Velocity 3.543 m/s

  • Discharge = 2.98 m3/s (cumecs)

Factors affecting stream flow

  • Hydraulics is the study of water flow in channels

  • Water flow is determined by gravity and frictional resistance with the channel bed and banks

  • Channel volume and shape affect the stream's energy

  • When water flow is turbulent there will be eddying patterns

  • Turbulence supports the lifting and suspension of fine particles

  • Turbulent flow conditions include complex channel shapes, high velocities and cavitation

  • Laminar flow is characterized by smooth and layered movements and is common in groundwater and glaciers but not in rivers

  • Laminar flow occurs in shallow, smooth, straight channels with low velocities

  • Rivers sediments remain undisturbed on the bed under laminar flow conditions

  • When water velocity is low turbulence is reduced

  • When water levels rise the mean velocity and the hydraulic radius enable the stream to appear to be more turbulent

Velocity

  • Friction causes uneven velocity distribution in a stream

  • The water closest to the bed and banks moves slowly

  • Water in the centre of the channel travels the fastest

  • Maximum velocity occurs mid-stream, about one-third down

  • Channel shape influences the velocity

Channel shape

  • Stream efficiency is measured using hydraulic radius (cross-sectional area divided by wetted perimeter)

  • Higher ratios indicate greater efficiency and less frictional loss

  • Channel shape is influenced by both channel material and river forces

  • Solid rock leads to slow changes and alluvium allows rapid changes

  • Silt and clay create steep, deep, narrow valleys, while sand and gravel promote wide, shallow channels

Channel roughness

  • Channel roughness introduces friction, reducing water velocity

  • Friction arises from bed irregularities, boulders, trees, vegetation and water-bed and bank contact

  • Manning's n is a formula describing the relationship between channel roughness and velocity

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