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Average Depth of Stream given Length of Reach Formula

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Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements. Check FAQs

d avg = \frac{0.13 \cdot B^{2} \cdot C \cdot (0.7 \cdot C + 2 \cdot \sqrt{g})}{L \cdot g}

d_avg - Average Depth of Stream?B - Average Width of Stream?C - Chézy’s Coefficients?g - Acceleration due to Gravity?L - Mixing Length?

Average Depth of Stream given Length of Reach Example

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Here is how the Average Depth of Stream given Length of Reach equation looks like with Values.

Here is how the Average Depth of Stream given Length of Reach equation looks like with Units.

Here is how the Average Depth of Stream given Length of Reach equation looks like.

15.1535 = \frac{0.13 \cdot 50^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}{24 \cdot 9.8}

15.1535m = \frac{0.13 \cdot {50m}^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8m/s²})}{24m \cdot 9.8m/s²}

15.1535 = \frac{0.13 \cdot 50^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}{24 \cdot 9.8}

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Average Depth of Stream given Length of Reach Solution

Follow our step by step solution on how to calculate Average Depth of Stream given Length of Reach?

FIRST Step Consider the formula

d avg = \frac{0.13 \cdot B^{2} \cdot C \cdot (0.7 \cdot C + 2 \cdot \sqrt{g})}{L \cdot g}

Next Step Substitute values of Variables

∴

d avg = \frac{0.13 \cdot {50m}^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8m/s²})}{24m \cdot 9.8m/s²}

Next Step Prepare to Evaluate

∴

d avg = \frac{0.13 \cdot 50^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}{24 \cdot 9.8}

Next Step Evaluate

∴

d avg = 15.1535195122756m

LAST Step Rounding Answer

∴

d avg = 15.1535m

Average Depth of Stream given Length of Reach Formula Elements

Variables

Functions

Average Depth of Stream

Average depth of Stream in Consideration of Dilution Method of Stream Flow Measurements.

Symbol: d_avg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Average Depth of Stream

Average Width of Stream

Average Width of Stream in Consideration of Dilution Method of Stream Flow Measurements.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Average Width of Stream

Chézy’s Coefficients

Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chézy’s Coefficients

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Mixing Length

Mixing Length is one of the major constraints of the dilution method.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mixing Length

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.

Syntax: sqrt(Number)

Other formulas in Dilution Technique of Streamflow Measurements category

Go Discharge in Stream by Constant Rate Injection Method

Q s = Q f \cdot (\frac{C 1 - C 2}{C 2 - C 0})

Go Constant Rate Injection Method or Plateau Gauging

Q f = Q s \cdot \frac{C 2 - C 0}{C 1 - C 2}

Go Length of Reach

L = \frac{0.13 \cdot B^{2} \cdot C \cdot (0.7 \cdot C + 2 \cdot \sqrt{g})}{g \cdot d avg}

Go Average Width of Stream using Mixing Length

B = \sqrt{\frac{L \cdot g \cdot d avg}{0.13 \cdot C \cdot (0.7 \cdot C + 2 \cdot \sqrt{g})}}

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

Average Depth of Stream given Length of Reach evaluator 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 evaluate 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 evaluate Average Depth of Stream given Length of Reach using this online evaluator? To use this online evaluator 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.

FAQs on Average Depth of Stream given Length of Reach

What is the formula to find Average Depth of Stream given Length of Reach?

The formula of Average Depth of Stream given Length of Reach is expressed as 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). Here is an example- 15.15352 = (0.13*50^2*1.5*(0.7*1.5+2*sqrt(9.8)))/(24*9.8).

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

With Average Width of Stream (B), Chézy’s Coefficients (C), Acceleration due to Gravity (g) & Mixing Length (L) we can find Average Depth of Stream given Length of Reach using the formula - 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). This formula also uses Square Root (sqrt) function(s).

Can the Average Depth of Stream given Length of Reach be negative?

No, the Average Depth of Stream given Length of Reach, measured in Length cannot be negative.

Which unit is used to measure Average Depth of Stream given Length of Reach?

Average Depth of Stream given Length of Reach is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Average Depth of Stream given Length of Reach can be measured.

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Average Depth of Stream given Length of Reach Formula

Average Depth of Stream given Length of Reach Example

Average Depth of Stream given Length of Reach Solution

Average Depth of Stream given Length of Reach Formula Elements

Other formulas in Dilution Technique of Streamflow Measurements category

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

FAQs on Average Depth of Stream given Length of Reach

Variable Name