Normalized Value of Fall given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve)
Fo = F*(Q0/Qa)^(1/m)
This formula uses 5 Variables
Variables Used
Normalized Value of Fall - (Measured in Meter) - Normalized Value of Fall to be constant at all stages.
Actual Fall - (Measured in Meter) - Actual Fall at a given stage to that of the actual discharge.
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.
Actual Discharge - (Measured in Cubic Meter per Second) - Actual discharge is given by the actual area and velocity.
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
Actual Fall: 2.5 Meter --> 2.5 Meter No Conversion Required
Normalized Discharge: 7 Cubic Meter per Second --> 7 Cubic Meter per Second No Conversion Required
Actual Discharge: 9 Cubic Meter per Second --> 9 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
Fo = F*(Q0/Qa)^(1/m) --> 2.5*(7/9)^(1/0.5)
Evaluating ... ...
Fo = 1.51234567901235
STEP 3: Convert Result to Output's Unit
1.51234567901235 Meter --> No Conversion Required
FINAL ANSWER
1.51234567901235 1.512346 Meter <-- Normalized Value of Fall
(Calculation completed in 00.004 seconds)

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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)

Normalized Value of Fall given Discharge Formula

Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve)
Fo = F*(Q0/Qa)^(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.

What is Unsteady Flow?

A Flow in which the quantity of liquid flowing per second is not constant is called unsteady flow. Unsteady flow is a transient phenomenon. It may in time become steady or zero flow. For. example when a valve is closed at the discharge end of the pipeline.

How to Calculate Normalized Value of Fall given Discharge?

Normalized Value of Fall given Discharge calculator uses Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve) to calculate the Normalized Value of Fall, The Normalized Value of Fall given Discharge formula is defined as the taken to be constant at all stages to the normalized discharge at the given stage when the fall is equal to the normalized fall. Normalized Value of Fall is denoted by Fo symbol.

How to calculate Normalized Value of Fall given Discharge using this online calculator? To use this online calculator for Normalized Value of Fall given Discharge, enter Actual Fall (F), Normalized Discharge (Q0), Actual Discharge (Qa) & Exponent on Rating Curve (m) and hit the calculate button. Here is how the Normalized Value of Fall given Discharge calculation can be explained with given input values -> 1.512346 = 2.5*(7/9)^(1/0.5).

FAQ

What is Normalized Value of Fall given Discharge?
The Normalized Value of Fall given Discharge formula is defined as the taken to be constant at all stages to the normalized discharge at the given stage when the fall is equal to the normalized fall and is represented as Fo = F*(Q0/Qa)^(1/m) or Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve). Actual Fall at a given stage to that of the actual discharge, Normalized Discharge at the given stage when the fall is equal to normalized value of the fall taken to be constant at all stages, Actual discharge is given by the actual area and velocity & 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 Normalized Value of Fall given Discharge?
The Normalized Value of Fall given Discharge formula is defined as the taken to be constant at all stages to the normalized discharge at the given stage when the fall is equal to the normalized fall is calculated using Normalized Value of Fall = Actual Fall*(Normalized Discharge/Actual Discharge)^(1/Exponent on Rating Curve). To calculate Normalized Value of Fall given Discharge, you need Actual Fall (F), Normalized Discharge (Q0), Actual Discharge (Qa) & Exponent on Rating Curve (m). With our tool, you need to enter the respective value for Actual Fall, Normalized Discharge, Actual 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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