Relationship between Stage and Discharge for Non-Alluvial Rivers Calculator

✖Rating Curve Constant is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.ⓘ Rating Curve Constant [C_r]			+10% -10%
✖Gauge Height is the height of the water in the stream above a reference point.ⓘ Gauge Height [G]			+10% -10%
✖Constant of gauge reading corresponding to zero discharge.ⓘ Constant of Gauge Reading [a]			+10% -10%
✖Rating Curve Constant Beta is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.ⓘ Rating Curve Constant Beta [β]			+10% -10%

✖Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area.ⓘ Relationship between Stage and Discharge for Non-Alluvial Rivers [Q_s]

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Relationship between Stage and Discharge for Non-Alluvial Rivers

Formula

`"Q"_{"s"} = "C"_{"r"}*("G"-"a")^"β"`

Example

`"59.93768m³/s"="1.99"*("10.2m"-"1.8")^"1.6"`

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Relationship between Stage and Discharge for Non-Alluvial Rivers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta
Q_s = C_r*(G-a)^β
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.
Rating Curve Constant - Rating Curve Constant is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.
Gauge Height - (Measured in Meter) - Gauge Height is the height of the water in the stream above a reference point.
Constant of Gauge Reading - Constant of gauge reading corresponding to zero discharge.
Rating Curve Constant Beta - Rating Curve Constant Beta is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.

STEP 1: Convert Input(s) to Base Unit

Rating Curve Constant: 1.99 --> No Conversion Required
Gauge Height: 10.2 Meter --> 10.2 Meter No Conversion Required
Constant of Gauge Reading: 1.8 --> No Conversion Required
Rating Curve Constant Beta: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_s = C_r*(G-a)^β --> 1.99*(10.2-1.8)^1.6

Evaluating ... ...

Q_s = 59.9376807389011

STEP 3: Convert Result to Output's Unit

59.9376807389011 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

59.9376807389011 ≈ 59.93768 Cubic Meter per Second <-- Discharge in Stream

(Calculation completed in 00.007 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Streamflow Measurement » Stage-Discharge Relationship » Relationship between Stage and Discharge for Non-Alluvial Rivers

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Coorg Institute of Technology (CIT), Coorg

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< 9 Stage-Discharge Relationship Calculators

Normal Discharge at given Stage under Steady Uniform Flow

Go Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)

Measured Unsteady Flow

Go Measured Unsteady Flow = Normal Discharge*sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)

Gauge Height given Discharge for Non-Alluvial Rivers

Go Gauge Height = (Discharge in Stream/Rating Curve Constant)^(1/Rating Curve Constant Beta)+Constant of Gauge Reading

Relationship between Stage and Discharge for Non-Alluvial Rivers

Go Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta

Actual Fall at Stage given Actual Discharge

Go Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve)

Normalized Value of Fall given Discharge

Go Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve)

Normalized Discharge of Backwater Effect on Rating Curve Normalized Curve

Go Normalized Discharge = Actual Discharge*(Normalized Value of Fall/Actual Fall)^Exponent on Rating Curve

Actual Discharge from Backwater Effect on Rating Curve Normalized Curve

Go Actual Discharge = Normalized Discharge*(Actual Fall/Normalized Value of Fall)^Exponent on Rating Curve

Diffusion Coefficient in Advection Diffusion Flood Routing

Go Diffusion Coefficient = Conveyance Function/2*Width of Water Surface*sqrt(Bed Slope)

Relationship between Stage and Discharge for Non-Alluvial Rivers Formula

Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta
Q_s = C_r*(G-a)^β

What is Permanent Control?

The measured value of discharges when plotted against the corresponding stages gives a relationship that represents the integrated effect of a wide range of channel and flow parameters. The combined effect of these parameters is termed a control. If the relationship for the gauging section is constant and does not change with time, the control is then said to be a Permanent Control.

How to Calculate Relationship between Stage and Discharge for Non-Alluvial Rivers?

Relationship between Stage and Discharge for Non-Alluvial Rivers calculator uses Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta to calculate the Discharge in Stream, The Relationship between Stage and Discharge for Non-Alluvial Rivers formula is defined as the measured value of discharges when plotted against the corresponding stages giving a relationship that represents the integrated effect of a wide range of channel and flow parameters. Discharge in Stream is denoted by Q_s symbol.

How to calculate Relationship between Stage and Discharge for Non-Alluvial Rivers using this online calculator? To use this online calculator for Relationship between Stage and Discharge for Non-Alluvial Rivers, enter Rating Curve Constant (C_r), Gauge Height (G), Constant of Gauge Reading (a) & Rating Curve Constant Beta (β) and hit the calculate button. Here is how the Relationship between Stage and Discharge for Non-Alluvial Rivers calculation can be explained with given input values -> 60.23888 = 1.99*(10.2-1.8)^1.6.

FAQ

What is Relationship between Stage and Discharge for Non-Alluvial Rivers?

The Relationship between Stage and Discharge for Non-Alluvial Rivers formula is defined as the measured value of discharges when plotted against the corresponding stages giving a relationship that represents the integrated effect of a wide range of channel and flow parameters and is represented as Q_s = C_r*(G-a)^β or Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta. Rating Curve Constant is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage, Gauge Height is the height of the water in the stream above a reference point, Constant of gauge reading corresponding to zero discharge & Rating Curve Constant Beta is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.

How to calculate Relationship between Stage and Discharge for Non-Alluvial Rivers?

The Relationship between Stage and Discharge for Non-Alluvial Rivers formula is defined as the measured value of discharges when plotted against the corresponding stages giving a relationship that represents the integrated effect of a wide range of channel and flow parameters is calculated using Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta. To calculate Relationship between Stage and Discharge for Non-Alluvial Rivers, you need Rating Curve Constant (C_r), Gauge Height (G), Constant of Gauge Reading (a) & Rating Curve Constant Beta (β). With our tool, you need to enter the respective value for Rating Curve Constant, Gauge Height, Constant of Gauge Reading & Rating Curve Constant Beta 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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