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Constant Rate Injection Method or Plateau Gauging Formula

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Constant Discharge Rate at C1 using the dilution principle to inject the tracer of concentration C1. Check FAQs

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

Q_f - Constant Discharge Rate at C1?Q_s - Discharge in Stream?C₂ - Concentration Profile of Tracer at Section 2?C₀ - Initial Concentration of Tracer?C₁ - High Concentration of Tracer at Section 1?

Constant Rate Injection Method or Plateau Gauging Example

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Here is how the Constant Rate Injection Method or Plateau Gauging equation looks like with Values.

Here is how the Constant Rate Injection Method or Plateau Gauging equation looks like with Units.

Here is how the Constant Rate Injection Method or Plateau Gauging equation looks like.

20 = 60 \cdot \frac{6 - 4}{12 - 6}

20m³/s = 60m³/s \cdot \frac{6 - 4}{12 - 6}

20 = 60 \cdot \frac{6 - 4}{12 - 6}

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Constant Rate Injection Method or Plateau Gauging Solution

Follow our step by step solution on how to calculate Constant Rate Injection Method or Plateau Gauging?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q f = 60m³/s \cdot \frac{6 - 4}{12 - 6}

Next Step Prepare to Evaluate

∴

Q f = 60 \cdot \frac{6 - 4}{12 - 6}

LAST Step Evaluate

∴

Q f = 20m³/s

Constant Rate Injection Method or Plateau Gauging Formula Elements

Variables

Constant Discharge Rate at C1

Constant Discharge Rate at C1 using the dilution principle to inject the tracer of concentration C1.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Constant Discharge Rate at C1

Discharge in Stream

Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge in Stream

Concentration Profile of Tracer at Section 2

Concentration Profile of Tracer at Section 2 is denoted by the symbol C₂.

Symbol: C₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Concentration Profile of Tracer at Section 2

Initial Concentration of Tracer

Initial Concentration of Tracer in the Stream Flow.

Symbol: C₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Initial Concentration of Tracer

High Concentration of Tracer at Section 1

High Concentration of Tracer at Section 1 in the Stream Flow.

Symbol: C₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find High Concentration of Tracer at Section 1

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 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})}}

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 Constant Rate Injection Method or Plateau Gauging?

Constant Rate Injection Method or Plateau Gauging evaluator uses 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) to evaluate the Constant Discharge Rate at C1, The Constant Rate Injection Method or Plateau Gauging formula is defined as the discharge when the tracer solution is introduced into the stream at a constant rate over time. The tracer concentration at points downstream rises asymptotically to a limiting, plateau value. Constant Discharge Rate at C1 is denoted by Q_f symbol.

How to evaluate Constant Rate Injection Method or Plateau Gauging using this online evaluator? To use this online evaluator for Constant Rate Injection Method or Plateau Gauging, enter Discharge in Stream (Q_s), Concentration Profile of Tracer at Section 2 (C₂), Initial Concentration of Tracer (C₀) & High Concentration of Tracer at Section 1 (C₁) and hit the calculate button.

FAQs on Constant Rate Injection Method or Plateau Gauging

What is the formula to find Constant Rate Injection Method or Plateau Gauging?

The formula of Constant Rate Injection Method or Plateau Gauging is expressed as 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). Here is an example- 20 = 60*(6-4)/(12-6).

How to calculate Constant Rate Injection Method or Plateau Gauging?

With Discharge in Stream (Q_s), Concentration Profile of Tracer at Section 2 (C₂), Initial Concentration of Tracer (C₀) & High Concentration of Tracer at Section 1 (C₁) we can find Constant Rate Injection Method or Plateau Gauging using the formula - 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).

Can the Constant Rate Injection Method or Plateau Gauging be negative?

No, the Constant Rate Injection Method or Plateau Gauging, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Constant Rate Injection Method or Plateau Gauging?

Constant Rate Injection Method or Plateau Gauging is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Constant Rate Injection Method or Plateau Gauging can be measured.

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Constant Rate Injection Method or Plateau Gauging Formula

Constant Rate Injection Method or Plateau Gauging Example

Constant Rate Injection Method or Plateau Gauging Solution

Constant Rate Injection Method or Plateau Gauging Formula Elements

Other formulas in Dilution Technique of Streamflow Measurements category

How to Evaluate Constant Rate Injection Method or Plateau Gauging?

FAQs on Constant Rate Injection Method or Plateau Gauging

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