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Length of Reach Formula

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

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

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

Length of Reach Example

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Here is how the Length of Reach equation looks like with Values.

Here is how the Length of Reach equation looks like with Units.

Here is how the Length of Reach equation looks like.

24.2456 = \frac{0.13 \cdot 50^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}{9.8 \cdot 15}

24.2456m = \frac{0.13 \cdot {50m}^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8m/s²})}{9.8m/s² \cdot 15m}

24.2456 = \frac{0.13 \cdot 50^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}{9.8 \cdot 15}

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Length of Reach Solution

Follow our step by step solution on how to calculate Length of Reach?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{0.13 \cdot {50m}^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8m/s²})}{9.8m/s² \cdot 15m}

Next Step Prepare to Evaluate

∴

L = \frac{0.13 \cdot 50^{2} \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}{9.8 \cdot 15}

Next Step Evaluate

∴

L = 24.2456312196409m

LAST Step Rounding Answer

∴

L = 24.2456m

Length of Reach Formula Elements

Variables

Functions

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

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

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

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 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})}}

Go Average Depth of Stream given Length of Reach

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

How to Evaluate Length of Reach?

Length of Reach evaluator 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 evaluate 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 evaluate Length of Reach using this online evaluator? To use this online evaluator 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.

FAQs on Length of Reach

What is the formula to find Length of Reach?

The formula of Length of Reach is expressed as 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). Here is an example- 24.24563 = (0.13*50^2*1.5*(0.7*1.5+2*sqrt(9.8)))/(9.8*15).

How to calculate Length of Reach?

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

Can the Length of Reach be negative?

No, the Length of Reach, measured in Length cannot be negative.

Which unit is used to measure Length of Reach?

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 Length of Reach can be measured.

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Length of Reach Formula

Length of Reach Example

Length of Reach Solution

Length of Reach Formula Elements

Other formulas in Dilution Technique of Streamflow Measurements category

How to Evaluate Length of Reach?

FAQs on Length of Reach

Variable Name