Average Depth of Stream given 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%
✖Mixing Length is one of the major constraints of the dilution method.ⓘ Mixing Length [L]			+10% -10%

✖Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements.ⓘ Average Depth of Stream given Length of Reach [d_avg]

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Average Depth of Stream given Length of Reach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Depth of Stream = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Mixing Length*Acceleration due to Gravity)
d_avg = (0.13*B^2*C*(0.7*C+2*sqrt(g)))/(L*g)
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

Average Depth of Stream - (Measured in Meter) - Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements.
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.
Mixing Length - (Measured in Meter) - Mixing Length is one of the major constraints of the dilution method.

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
Mixing Length: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_avg = (0.13*B^2*C*(0.7*C+2*sqrt(g)))/(L*g) --> (0.13*50^2*1.5*(0.7*1.5+2*sqrt(9.8)))/(24*9.8)

Evaluating ... ...

d_avg = 15.1535195122756

STEP 3: Convert Result to Output's Unit

15.1535195122756 Meter --> No Conversion Required

FINAL ANSWER

15.1535195122756 ≈ 15.15352 Meter <-- Average Depth of Stream

(Calculation completed in 00.004 seconds)

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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)

Average Depth of Stream given 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 Average Depth of Stream given Length of Reach?

Average Depth of Stream given Length of Reach calculator uses Average Depth of Stream = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Mixing Length*Acceleration due to Gravity) to calculate the Average Depth of Stream, The Average Depth of Stream given Length of Reach formula is defined as the average depth between the dosing section and sampling section to form a complete mixing of the tracer with the flow. Average Depth of Stream is denoted by d_avg symbol.

How to calculate Average Depth of Stream given Length of Reach using this online calculator? To use this online calculator for Average Depth of Stream given Length of Reach, enter Average Width of Stream (B), Chézy’s Coefficients (C), Acceleration due to Gravity (g) & Mixing Length (L) and hit the calculate button. Here is how the Average Depth of Stream given Length of Reach calculation can be explained with given input values -> 15.15352 = (0.13*50^2*1.5*(0.7*1.5+2*sqrt(9.8)))/(24*9.8).

FAQ

What is Average Depth of Stream given Length of Reach?

The Average Depth of Stream given Length of Reach formula is defined as the average depth between the dosing section and sampling section to form a complete mixing of the tracer with the flow and is represented as d_avg = (0.13*B^2*C*(0.7*C+2*sqrt(g)))/(L*g) or Average Depth of Stream = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Mixing Length*Acceleration due to Gravity). 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 & Mixing Length is one of the major constraints of the dilution method.

How to calculate Average Depth of Stream given Length of Reach?

The Average Depth of Stream given Length of Reach formula is defined as the average depth between the dosing section and sampling section to form a complete mixing of the tracer with the flow is calculated using Average Depth of Stream = (0.13*Average Width of Stream^2*Chézy’s Coefficients*(0.7*Chézy’s Coefficients+2*sqrt(Acceleration due to Gravity)))/(Mixing Length*Acceleration due to Gravity). To calculate Average Depth of Stream given Length of Reach, you need Average Width of Stream (B), Chézy’s Coefficients (C), Acceleration due to Gravity (g) & Mixing Length (L). With our tool, you need to enter the respective value for Average Width of Stream, Chézy’s Coefficients, Acceleration due to Gravity & Mixing Length 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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