Normal Discharge at given Stage under Steady Uniform Flow Calculator

✖Measured Unsteady Flow at a certain velocity.ⓘ Measured Unsteady Flow [Q_M]			+10% -10%
✖Velocity of Flood Wave in the channel.ⓘ Velocity of Flood Wave [v_W]			+10% -10%
✖Channel Slope is how far a channel drops over a horizontal distance.ⓘ Channel Slope [S_o]			+10% -10%
✖Rate of Change of Stage in the channel.ⓘ Rate of Change of Stage [dh_/dt]			+10% -10%

✖The normal discharge at a given stage under steady uniform flow.ⓘ Normal Discharge at given Stage under Steady Uniform Flow [Q_n]

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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)
Q_n = Q_M/sqrt(1+(1/(v_W*S_o))*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

Q_n = Q_M/sqrt(1+(1/(v_W*S_o))*dh_/dt) --> 14.4/sqrt(1+(1/(50*0.1))*2.2)

Evaluating ... ...

Q_n = 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 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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Normal Discharge at given Stage under Steady Uniform Flow Formula

LaTeX Go

Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage)
Q_n = Q_M/sqrt(1+(1/(v_W*S_o))*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 Q_n 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 (Q_M), Velocity of Flood Wave (v_W), Channel Slope (S_o) & 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 Q_n = Q_M/sqrt(1+(1/(v_W*S_o))*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 (Q_M), Velocity of Flood Wave (v_W), Channel Slope (S_o) & 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.

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