Actual Fall at Stage given Actual Discharge Calculator

✖Normalized Value of Fall to be constant at all stages.ⓘ Normalized Value of Fall [F_o]			+10% -10%
✖Actual discharge is given by the actual area and velocity.ⓘ Actual Discharge [Q_a]			+10% -10%
✖Normalized Discharge at the given stage when the fall is equal to normalized value of the fall taken to be constant at all stages.ⓘ Normalized Discharge [Q₀]			+10% -10%
✖Exponent on rating curve with a value close to 0.5, Rating curve is a graph of discharge versus stage for given point on stream, usually at gauging stations.ⓘ Exponent on Rating Curve [m]			+10% -10%

✖Actual Fall at a given stage to that of the actual discharge.ⓘ Actual Fall at Stage given Actual Discharge [F]

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Actual Fall at Stage given Actual Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve)
F = F_o*(Q_a/Q₀)^(1/m)
This formula uses 5 Variables

Variables Used

Actual Fall - (Measured in Meter) - Actual Fall at a given stage to that of the actual discharge.
Normalized Value of Fall - (Measured in Meter) - Normalized Value of Fall to be constant at all stages.
Actual Discharge - (Measured in Cubic Meter per Second) - Actual discharge is given by the actual area and velocity.
Normalized Discharge - (Measured in Cubic Meter per Second) - Normalized Discharge at the given stage when the fall is equal to normalized value of the fall taken to be constant at all stages.
Exponent on Rating Curve - Exponent on rating curve with a value close to 0.5, Rating curve is a graph of discharge versus stage for given point on stream, usually at gauging stations.

STEP 1: Convert Input(s) to Base Unit

Normalized Value of Fall: 1.512 Meter --> 1.512 Meter No Conversion Required
Actual Discharge: 9 Cubic Meter per Second --> 9 Cubic Meter per Second No Conversion Required
Normalized Discharge: 7 Cubic Meter per Second --> 7 Cubic Meter per Second No Conversion Required
Exponent on Rating Curve: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = F_o*(Q_a/Q₀)^(1/m) --> 1.512*(9/7)^(1/0.5)

Evaluating ... ...

F = 2.49942857142857

STEP 3: Convert Result to Output's Unit

2.49942857142857 Meter --> No Conversion Required

FINAL ANSWER

2.49942857142857 ≈ 2.499429 Meter <-- Actual Fall

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< Stage Discharge Relationship Calculators

Actual Fall at Stage given Actual Discharge

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

Normalized Value of Fall given Discharge

LaTeX 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

LaTeX 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

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

Actual Fall at Stage given Actual Discharge Formula

LaTeX Go

Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve)
F = F_o*(Q_a/Q₀)^(1/m)

What is the Backwater Effect?

A backwater is a part of a river in which there is little or no current. It can refer to a branch of a main river, which lies alongside it and then rejoins it, or to a body of water in a main river, backed up by the tide or by an obstruction such as a dam. The backwater effect transmits the secondary currents backwards, resulting in the creation of a sinuous pattern upstream from the shrinkage.
The Backwater phenomenon leads to an increase in the water surface level of upstream regions, thereby imposing the threat of submergence during flood events and affecting the longitudinal extent of the river reach.

How to Calculate Actual Fall at Stage given Actual Discharge?

Actual Fall at Stage given Actual Discharge calculator uses Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve) to calculate the Actual Fall, The Actual Fall at Stage given Actual Discharge formula is defined as the difference between the main gauge and secondary at a given stage to that of the actual discharge. Actual Fall is denoted by F symbol.

How to calculate Actual Fall at Stage given Actual Discharge using this online calculator? To use this online calculator for Actual Fall at Stage given Actual Discharge, enter Normalized Value of Fall (F_o), Actual Discharge (Q_a), Normalized Discharge (Q₀) & Exponent on Rating Curve (m) and hit the calculate button. Here is how the Actual Fall at Stage given Actual Discharge calculation can be explained with given input values -> 2.479592 = 1.512*(9/7)^(1/0.5).

FAQ

What is Actual Fall at Stage given Actual Discharge?

The Actual Fall at Stage given Actual Discharge formula is defined as the difference between the main gauge and secondary at a given stage to that of the actual discharge and is represented as F = F_o*(Q_a/Q₀)^(1/m) or Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve). Normalized Value of Fall to be constant at all stages, Actual discharge is given by the actual area and velocity, Normalized Discharge at the given stage when the fall is equal to normalized value of the fall taken to be constant at all stages & Exponent on rating curve with a value close to 0.5, Rating curve is a graph of discharge versus stage for given point on stream, usually at gauging stations.

How to calculate Actual Fall at Stage given Actual Discharge?

The Actual Fall at Stage given Actual Discharge formula is defined as the difference between the main gauge and secondary at a given stage to that of the actual discharge is calculated using Actual Fall = Normalized Value of Fall*(Actual Discharge/Normalized Discharge)^(1/Exponent on Rating Curve). To calculate Actual Fall at Stage given Actual Discharge, you need Normalized Value of Fall (F_o), Actual Discharge (Q_a), Normalized Discharge (Q₀) & Exponent on Rating Curve (m). With our tool, you need to enter the respective value for Normalized Value of Fall, Actual Discharge, Normalized Discharge & Exponent on Rating Curve 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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