Normal Discharge at given Stage under Steady Uniform Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)
Qn = QM/sqrt(1+(1/(vW*So))*dh/dt)
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Normal Discharge - (Measured in Cubic Meter per Second) - The normal discharge at a given stage under steady uniform flow.
Measured Unsteady Flow - (Measured in Cubic Meter per Second) - Measured Unsteady Flow at a certain velocity.
Velocity of Flood Wave - (Measured in Meter per Second) - Velocity of Flood Wave in the channel.
Channel Slope - Channel Slope is how far a channel drops over a horizontal distance.
Rate of Change of Stage - Rate of Change of Stage in the channel.
STEP 1: Convert Input(s) to Base Unit
Measured Unsteady Flow: 14.4 Cubic Meter per Second --> 14.4 Cubic Meter per Second No Conversion Required
Velocity of Flood Wave: 50 Meter per Second --> 50 Meter per Second No Conversion Required
Channel Slope: 0.1 --> No Conversion Required
Rate of Change of Stage: 2.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Qn = QM/sqrt(1+(1/(vW*So))*dh/dt) --> 14.4/sqrt(1+(1/(50*0.1))*2.2)
Evaluating ... ...
Qn = 12
STEP 3: Convert Result to Output's Unit
12 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
12 Cubic Meter per Second <-- Normal Discharge
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has verified this Calculator and 1700+ more calculators!

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)

Normal Discharge at given Stage under Steady Uniform Flow Formula

Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)
Qn = QM/sqrt(1+(1/(vW*So))*dh/dt)

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.

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 Normal Discharge at given Stage under Steady Uniform Flow?

Normal Discharge at given Stage under Steady Uniform Flow calculator uses Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage) to calculate the Normal Discharge, The Normal Discharge at given Stage under Steady Uniform Flow formula is defined as that at the same stage, more discharge passes through the river during rising stages than in falling ones. Normal Discharge is denoted by Qn symbol.

How to calculate Normal Discharge at given Stage under Steady Uniform Flow using this online calculator? To use this online calculator for Normal Discharge at given Stage under Steady Uniform Flow, enter Measured Unsteady Flow (QM), Velocity of Flood Wave (vW), Channel Slope (So) & Rate of Change of Stage (dh/dt) and hit the calculate button. Here is how the Normal Discharge at given Stage under Steady Uniform Flow calculation can be explained with given input values -> 12 = 14.4/sqrt(1+(1/(50*0.1))*2.2).

FAQ

What is Normal Discharge at given Stage under Steady Uniform Flow?
The Normal Discharge at given Stage under Steady Uniform Flow formula is defined as that at the same stage, more discharge passes through the river during rising stages than in falling ones and is represented as Qn = QM/sqrt(1+(1/(vW*So))*dh/dt) or Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage). Measured Unsteady Flow at a certain velocity, Velocity of Flood Wave in the channel, Channel Slope is how far a channel drops over a horizontal distance & Rate of Change of Stage in the channel.
How to calculate Normal Discharge at given Stage under Steady Uniform Flow?
The Normal Discharge at given Stage under Steady Uniform Flow formula is defined as that at the same stage, more discharge passes through the river during rising stages than in falling ones is calculated using Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage). To calculate Normal Discharge at given Stage under Steady Uniform Flow, you need Measured Unsteady Flow (QM), Velocity of Flood Wave (vW), Channel Slope (So) & Rate of Change of Stage (dh/dt). With our tool, you need to enter the respective value for Measured Unsteady Flow, Velocity of Flood Wave, Channel Slope & Rate of Change of Stage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!