Length of Reach Calculator

✖Average Width of Stream in Consideration of Dilution Method of Stream Flow Measurements.ⓘ Average Width of Stream [B]			+10% -10%
✖Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.ⓘ Chézy’s Coefficients [C]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements.ⓘ Average Depth of Stream [d_avg]			+10% -10%

✖Mixing Length is one of the major constraints of the dilution method.ⓘ Length of Reach [L]

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Length of Reach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mixing Length = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Acceleration due to Gravity*Average Depth of Stream)
L = (0.13*B^2*C*(0.7*C+2*sqrt(g)))/(g*d_avg)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Mixing Length - (Measured in Meter) - Mixing Length is one of the major constraints of the dilution method.
Average Width of Stream - (Measured in Meter) - Average Width of Stream in Consideration of Dilution Method of Stream Flow Measurements.
Chézy’s Coefficients - Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Average Depth of Stream - (Measured in Meter) - Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements.

STEP 1: Convert Input(s) to Base Unit

Average Width of Stream: 50 Meter --> 50 Meter No Conversion Required
Chézy’s Coefficients: 1.5 --> No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Average Depth of Stream: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (0.13*B^2*C*(0.7*C+2*sqrt(g)))/(g*d_avg) --> (0.13*50^2*1.5*(0.7*1.5+2*sqrt(9.8)))/(9.8*15)

Evaluating ... ...

L = 24.2456312196409

STEP 3: Convert Result to Output's Unit

24.2456312196409 Meter --> No Conversion Required

FINAL ANSWER

24.2456312196409 ≈ 24.24563 Meter <-- Mixing Length

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Dilution Technique of Streamflow Measurements Calculators

Average Width of Stream using Mixing Length

LaTeX Go Average Width of Stream = sqrt((Mixing Length*Acceleration due to Gravity*Average Depth of Stream)/(0.13*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity))))

Length of Reach

LaTeX Go Mixing Length = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Acceleration due to Gravity*Average Depth of Stream)

Discharge in Stream by Constant Rate Injection Method

LaTeX Go Discharge in Stream = Constant Discharge Rate at C1*((High Concentration of Tracer at Section 1-Concentration Profile of Tracer at Section 2)/(Concentration Profile of Tracer at Section 2-Initial Concentration of Tracer))

Constant Rate Injection Method or Plateau Gauging

LaTeX Go Constant Discharge Rate at C1 = Discharge in Stream*(Concentration Profile of Tracer at Section 2-Initial Concentration of Tracer)/(High Concentration of Tracer at Section 1-Concentration Profile of Tracer at Section 2)

Length of Reach Formula

LaTeX Go

What is Dilution Technique of Stream Flow Measurement?

The Dilution Method involves injecting (inserting) a known amount of salt into a stream. This process is technically known as slug injection. The salt acts as a tracer to measure the discharge. The concentration of dissolved salt is measured downstream at a point where it has fully mixed with the stream water.

Define Length of Reach

The length of the reach between the dosing section and sampling section should be adequate to have complete mixing of the tracer with the flow. This length depends upon the geometric dimensions of the channel cross-section, discharge and turbulence levels.

How to Calculate Length of Reach?

Length of Reach calculator uses Mixing Length = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Acceleration due to Gravity*Average Depth of Stream) to calculate the Mixing Length, The Length of Reach formula is defined as the total length of a section of a stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope. Mixing Length is denoted by L symbol.

How to calculate Length of Reach using this online calculator? To use this online calculator for Length of Reach, enter Average Width of Stream (B), Chézy’s Coefficients (C), Acceleration due to Gravity (g) & Average Depth of Stream (d_avg) and hit the calculate button. Here is how the Length of Reach calculation can be explained with given input values -> 24.24563 = (0.13*50^2*1.5*(0.7*1.5+2*sqrt(9.8)))/(9.8*15).

FAQ

What is Length of Reach?

The Length of Reach formula is defined as the total length of a section of a stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope and is represented as L = (0.13*B^2*C*(0.7*C+2*sqrt(g)))/(g*d_avg) or Mixing Length = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Acceleration due to Gravity*Average Depth of Stream). Average Width of Stream in Consideration of Dilution Method of Stream Flow Measurements, Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements.

How to calculate Length of Reach?

The Length of Reach formula is defined as the total length of a section of a stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope is calculated using Mixing Length = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Acceleration due to Gravity*Average Depth of Stream). To calculate Length of Reach, you need Average Width of Stream (B), Chézy’s Coefficients (C), Acceleration due to Gravity (g) & Average Depth of Stream (d_avg). With our tool, you need to enter the respective value for Average Width of Stream, Chézy’s Coefficients, Acceleration due to Gravity & Average Depth of Stream and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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