Measuring Streamflow Q. Using a Rectangular Slotted Weir

Dec 21
2009

One method to accurately measure flow Q for small and medium-size streams is through the use of a slotted Weir.

Methods for Measuring Your Stream Flow…

Stream Flow x Fall = Hydro Power

Stream Flow x Head Pressure = Power

Stream levels will change through the seasons, so it is important to measure FLOW at various times of the year. We will need these varied flow measures to create an FDC or flow Duration curve, more on the FDC in a later post. If this seasonal variable flow measure is not possible, attempt to determine various annual flows by discussing the stream with a neighbor, or finding US geological survey flow data for your stream or a nearby larger stream. Also keep in mind that fish, birds, plants and other living things rely on your stream for survival. Especially during low water seasons, avoid using all the water for your hydro system. FLOW is typically expressed as volume per second or minute. This is also called a “FLOW rate” since it is a dynamic volume per time interval. Common examples of volume units are gallons or liters per second (or minute), and cubic feet or cubic meters per second (or minute):

A rectangular slotted Weir consists of a temporary dam structure with a rectangular slot are opening gate.

This slotted Weir gate has the following characteristics;

  1. All stream flow to be measured, Q. is constrained to go through the slotted gate.
  2. The bottom of the rectangular slotted Weir gate is leveled horizontally.
  3. A reference stake or pole is driven into the stream bed below the water line. So that it is exactly level with bottom of the Weir gate.
  4. The stake must be placed upstream at least four times the distance of the maximum Weir gate water depth.
  5. Water must be allowed to exit the Weir gate freely, such that there is an air gap beneath it as it flows over the Weir. A “sharp” 90 degree edge lip helps here.
  6. Water upstream of the Weir must move freely and not have major disturbances.
  7. Water will contract or shrink in width x depth, as it increases speed, when it approaches and flows through the opening.

     

Given both the width and depth of the water flowing over the Weir; it is a simple procedure to look up the value for the water flow using a Weir table.


Measure Stream Flow Q using a Rectangular Weir (contracted) Measure Stream Flow Q using a Rectangular Weir (contracted)

The following table is based on a reference Weir gate 1 inch wide.

An example of use is as follows:

Assume your Weir gate is 1 foot wide or 12 inches, you measure the water passing over it at 6 1/4 inches.

Using the table, you look up 6+1/4 and read 6.2 5 CFM per inch of width.

Multiply 6.25 CFM/in x 12 in = 75 CFM. That’s a pretty decent flow, if you have enough head you may be in business.

FYI – Metric Formula for a rectangular notched Weir is: Q = 2/3 x Cd x , 2g^1/2 x (L – 0.2h) x h^3/2, Where Cd is the coefficient of discharge.

Take Cd = 0.6 (normal case) then Q = 1.8 x (L – 0.2h) x h^3/2 in liters/sec

Inches
  +0/8 +1/8 +1/4 +3/8 +1/2 +5/8 +3/4 +7/8
0 0.00 0.01 0.05 0.09 0.14 0.19 0.26 0.32
1 0.40 0.47 0.55 0.64 0.73 0.82 0.92 1.02
2 1.13 1.23 1.35 1.46 1.58 1.70 1.82 1.95
3 2.07 2.21 2.34 2.48 2.61 2.76 2.90 3.05
4 3.20 3.35 3.50 3.66 3.81 3.97 4.14 4.30
5 4.47 4.64 4.81 4.98 5.15 5.33 5.51 5.69
6 5.87 6.06 6.25 6.44 6.62 6.82 7.01 7.21
7 7.40 7.60 7.80 8.01 8.21 8.42 8.63 8.83
8 9.05 9.26 9.47 9.69 9.91 10.13 10.35 10.57
9 10.80 11.02 11.25 11.48 11.71 11.94 12.17 12.41
10 12.64 12.88 13.12 13.36 13.6 13.85 14.09 14.34
11 14.59 14.84 15.09 15.34 15.59 15.85 16.11 16.36
12 16.62 16.88 17.15 17.41 17.67 17.94 18.21 18.47
13 18.74 19.01 19.29 19.56 19.84 20.11 20.39 20.67
14 20.95 21.23 21.51 21.80 22.08 22.37 22.65 22.94
15 23.23 23.52 23.82 24.11 24.40 24.70 25.00 25.30
16 25.60 25.90 26.20 26.50 26.80 27.11 27.42 27.72
17 28.03 28.34 28.65 28.97 29.28 29.59 29.91 30.22
18 30.54 30.86 31.18 31.50 31.82 32.15 32.47 32.80
19 33.12 33.45 33.78 34.11 34.44 34.77 35.10 35.44
20 35.77 36.11 36.45 36.78 37.12 37.46 37.80 38.15

A Weir is especially effective for measuring FLOW during different times of the year. Once the Weir is in place, it is easy to quickly measure the depth of the water and chart FLOW at various points in time. Design Flow Even though your Flow may be very high after exceptionally rainy periods, it probably won’t be cost effective to design your turbine system to handle all that water for just a few days of the year. Instead, it makes sense to build a system that uses Flow you can count on for much of the year. This is called Design Flow, and it is the maximum Flow your hydro system is designed to accommodate. Design Flow, along with Net Head, determines everything about your hydro system, from pipeline size to power output.  For more on measuring stream flow you may want to visit Canyon Hydro – Measuring Flow, or British Hydro – Flow Measuring.

8 Responses to “Measuring Streamflow Q. Using a Rectangular Slotted Weir”

  1. Frank J. Heller says:

    Please make a thin plastic template that can be attached to a weir board. Print the matrices on the plastic and include screws, etc.

    I’ve made a number of thompson weirs; but the stream bed dimensions make using them problematic; i.e. I have to cut a new weir for every stream.

    My clients are do-it-yourselfers, who are at their sites daily…

    Provide a waterproof log that can be left at the weir for measurements.

    DO you have an idea how valuable an annual cycle of stream measurements are to determine the best design?

    Make it easy….my idea lol!!!

  2. Frank J. Heller says:

    An analogy is, a test kit you’d mail into a lab; here you’re helping the waterway owner make accurate measurements and providing a convenient way to have them send a log of them to a microhydro consultant/manufacturer for a precise fitting…..I’d love to stock the ‘kit’ and then show the home owner how to set up the wier and measure water flows.periodically.

  3. Ken Hall says:

    I would like to be able to calculate flow (approximate) through a 6″ pvc pipe of 800 feet with a head of 12 to 16 feet – everything I find shows calculations with something in place – I do not want to run a 6″ pvc pipe 800 feet if not worth the electricity I could generate – assume unlimited water – will size down the pipe to 4″ just prior to the generator – how can I calculate water flow and pressure to find out what I could possibly generate – Ken

  4. john says:

    lifting water from flow on level plain.
    repleanishing flow with minimum resource collected from flow.
    pumping water into one end of a channel from the other end of the channel. the channel can accomodate an infinate amount of mill from one pump, how many mills can power one pump by circulating the water in one channel?

  5. B ill Foley says:

    hi. Where can one purchase just the pelton wheel part of the turbine? As shown in your 350kw. picture.
    Thanks Bill

  6. Lindsay says:

    Don’t know if this is still active but, could one develop hydropower from flow coming out of a cistern?

  7. Irish Drinks says:

    Imagine how much energy is wasted. If we could capture more of the sun, wind and water, we’d be energy independent.

    James

  8. Shitta Nyofo Habu says:

    I want to have a good knowledge of monitoring stream flow using weir

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