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Discharge in Stream by Constant Rate Injection Method Formula

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

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

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

Discharge in Stream by Constant Rate Injection Method Example

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Here is how the Discharge in Stream by Constant Rate Injection Method equation looks like with Values.

Here is how the Discharge in Stream by Constant Rate Injection Method equation looks like with Units.

Here is how the Discharge in Stream by Constant Rate Injection Method equation looks like.

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

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

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

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Discharge in Stream by Constant Rate Injection Method Solution

Follow our step by step solution on how to calculate Discharge in Stream by Constant Rate Injection Method?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q s = 20m³/s \cdot (\frac{12 - 6}{6 - 4})

Next Step Prepare to Evaluate

∴

Q s = 20 \cdot (\frac{12 - 6}{6 - 4})

LAST Step Evaluate

∴

Q s = 60m³/s

Discharge in Stream by Constant Rate Injection Method Formula Elements

Variables

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

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

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

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

Other formulas in Dilution Technique of Streamflow Measurements category

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})}}

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 Discharge in Stream by Constant Rate Injection Method?

Discharge in Stream by Constant Rate Injection Method evaluator uses 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)) to evaluate the Discharge in Stream, The Discharge in Stream by Constant Rate Injection Method 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. Discharge in Stream is denoted by Q_s symbol.

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

FAQs on Discharge in Stream by Constant Rate Injection Method

What is the formula to find Discharge in Stream by Constant Rate Injection Method?

The formula of Discharge in Stream by Constant Rate Injection Method is expressed as 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)). Here is an example- 60 = 20*((12-6)/(6-4)).

How to calculate Discharge in Stream by Constant Rate Injection Method?

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

Can the Discharge in Stream by Constant Rate Injection Method be negative?

No, the Discharge in Stream by Constant Rate Injection Method, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge in Stream by Constant Rate Injection Method?

Discharge in Stream by Constant Rate Injection Method 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 Discharge in Stream by Constant Rate Injection Method can be measured.

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Discharge in Stream by Constant Rate Injection Method Formula

Discharge in Stream by Constant Rate Injection Method Example

Discharge in Stream by Constant Rate Injection Method Solution

Discharge in Stream by Constant Rate Injection Method Formula Elements

Other formulas in Dilution Technique of Streamflow Measurements category

How to Evaluate Discharge in Stream by Constant Rate Injection Method?

FAQs on Discharge in Stream by Constant Rate Injection Method

Variable Name