Discharge in Stream by Constant Rate Injection Method Calculator

✖Constant Discharge Rate at C1 using the dilution principle to inject the tracer of concentration C1.ⓘ Constant Discharge Rate at C1 [Q_f]			+10% -10%
✖High Concentration of Tracer at Section 1 in the Stream Flow.ⓘ High Concentration of Tracer at Section 1 [C₁]			+10% -10%
✖Concentration Profile of Tracer at Section 2 is denoted by the symbol C₂.ⓘ Concentration Profile of Tracer at Section 2 [C₂]			+10% -10%
✖Initial Concentration of Tracer in the Stream Flow.ⓘ Initial Concentration of Tracer [C₀]			+10% -10%

✖Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area.ⓘ Discharge in Stream by Constant Rate Injection Method [Q_s]

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Discharge in Stream by Constant Rate Injection Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Q_s = Q_f*((C₁-C₂)/(C₂-C₀))
This formula uses 5 Variables

Variables Used

Discharge in Stream - (Measured in Cubic Meter per Second) - Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area.
Constant Discharge Rate at C1 - (Measured in Cubic Meter per Second) - Constant Discharge Rate at C1 using the dilution principle to inject the tracer of concentration C1.
High Concentration of Tracer at Section 1 - High Concentration of Tracer at Section 1 in the Stream Flow.
Concentration Profile of Tracer at Section 2 - Concentration Profile of Tracer at Section 2 is denoted by the symbol C₂.
Initial Concentration of Tracer - Initial Concentration of Tracer in the Stream Flow.

STEP 1: Convert Input(s) to Base Unit

Constant Discharge Rate at C1: 20 Cubic Meter per Second --> 20 Cubic Meter per Second No Conversion Required
High Concentration of Tracer at Section 1: 12 --> No Conversion Required
Concentration Profile of Tracer at Section 2: 6 --> No Conversion Required
Initial Concentration of Tracer: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = Q_f*((C₁-C₂)/(C₂-C₀)) --> 20*((12-6)/(6-4))

Evaluating ... ...

Q_s = 60

STEP 3: Convert Result to Output's Unit

60 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

60 Cubic Meter per Second <-- Discharge in Stream

(Calculation completed in 00.004 seconds)

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< Dilution Technique of Streamflow Measurements Calculators

Average Width of Stream using Mixing Length

LaTeX Go 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))))

Length of Reach

LaTeX Go 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)

Discharge in Stream by Constant Rate Injection Method

LaTeX Go 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))

Constant Rate Injection Method or Plateau Gauging

LaTeX Go 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)

Discharge in Stream by Constant Rate Injection Method Formula

LaTeX Go

What is Dilution Technique of Streamflow measurement?

The Dilution Method involves injecting (inserting) a known amount of salt into a stream. This process is technically known as slug injection. The salt acts as a tracer to measure the discharge. The concentration of dissolved salt is measured downstream at a point where it has fully mixed with the stream water.

How is Streamflow Measured?

The most common method used by the USGS for measuring velocity is with a current meter. The current meter is used to measure water velocity at predetermined points (subsections) along a marked line, suspended cableway, or bridge across a river or stream. The depth of the water is also measured at each point.

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

Discharge in Stream by Constant Rate Injection Method calculator 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 calculate 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 calculate Discharge in Stream by Constant Rate Injection Method using this online calculator? To use this online calculator 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. Here is how the Discharge in Stream by Constant Rate Injection Method calculation can be explained with given input values -> 60 = 20*((12-6)/(6-4)).

FAQ

What is Discharge in Stream by Constant Rate Injection Method?

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 and is represented as Q_s = Q_f*((C₁-C₂)/(C₂-C₀)) or 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)). Constant Discharge Rate at C1 using the dilution principle to inject the tracer of concentration C1, High Concentration of Tracer at Section 1 in the Stream Flow, Concentration Profile of Tracer at Section 2 is denoted by the symbol C₂ & Initial Concentration of Tracer in the Stream Flow.

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

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 is calculated using 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 calculate Discharge in Stream by Constant Rate Injection Method, you need 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). With our tool, you need to enter the respective value for Constant Discharge Rate at C1, High Concentration of Tracer at Section 1, Concentration Profile of Tracer at Section 2 & Initial Concentration of Tracer and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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