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Average Width of Stream using Mixing Length Formula

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

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

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

Average Width of Stream using Mixing Length Example

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Here is how the Average Width of Stream using Mixing Length equation looks like with Values.

Here is how the Average Width of Stream using Mixing Length equation looks like with Units.

Here is how the Average Width of Stream using Mixing Length equation looks like.

49.7461 = \sqrt{\frac{24 \cdot 9.8 \cdot 15}{0.13 \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}}

49.7461m = \sqrt{\frac{24m \cdot 9.8m/s² \cdot 15m}{0.13 \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8m/s²})}}

49.7461 = \sqrt{\frac{24 \cdot 9.8 \cdot 15}{0.13 \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}}

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Average Width of Stream using Mixing Length Solution

Follow our step by step solution on how to calculate Average Width of Stream using Mixing Length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \sqrt{\frac{24m \cdot 9.8m/s² \cdot 15m}{0.13 \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8m/s²})}}

Next Step Prepare to Evaluate

∴

B = \sqrt{\frac{24 \cdot 9.8 \cdot 15}{0.13 \cdot 1.5 \cdot (0.7 \cdot 1.5 + 2 \cdot \sqrt{9.8})}}

Next Step Evaluate

∴

B = 49.746081564046m

LAST Step Rounding Answer

∴

B = 49.7461m

Average Width of Stream using Mixing Length Formula Elements

Variables

Functions

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

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

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

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

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 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 Average Width of Stream using Mixing Length?

Average Width of Stream using Mixing Length evaluator uses 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)))) to evaluate the Average Width of Stream, The Average Width of Stream using Mixing Length formula is defined as the average width between the dosing section and sampling section to have complete mixing of the tracer with the flow, this width depends upon the geometric dimensions of the channel cross-section, discharge, and turbulence levels. Average Width of Stream is denoted by B symbol.

How to evaluate Average Width of Stream using Mixing Length using this online evaluator? To use this online evaluator for Average Width of Stream using Mixing Length, enter Mixing Length (L), Acceleration due to Gravity (g), Average Depth of Stream (d_avg) & Chézy’s Coefficients (C) and hit the calculate button.

FAQs on Average Width of Stream using Mixing Length

What is the formula to find Average Width of Stream using Mixing Length?

The formula of Average Width of Stream using Mixing Length is expressed as 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)))). Here is an example- 49.74608 = sqrt((24*9.8*15)/(0.13*1.5*(0.7*1.5+2*sqrt(9.8)))).

How to calculate Average Width of Stream using Mixing Length?

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

Can the Average Width of Stream using Mixing Length be negative?

No, the Average Width of Stream using Mixing Length, measured in Length cannot be negative.

Which unit is used to measure Average Width of Stream using Mixing Length?

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

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Average Width of Stream using Mixing Length Formula

Average Width of Stream using Mixing Length Example

Average Width of Stream using Mixing Length Solution

Average Width of Stream using Mixing Length Formula Elements

Other formulas in Dilution Technique of Streamflow Measurements category

How to Evaluate Average Width of Stream using Mixing Length?

FAQs on Average Width of Stream using Mixing Length

Variable Name