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Normal Discharge at given Stage under Steady Uniform Flow Formula

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The normal discharge at a given stage under steady uniform flow. Check FAQs

Q n = \frac{Q M}{\sqrt{1 + (\frac{1}{v W \cdot S o}) \cdot dh /dt}}

Q_n - Normal Discharge?Q_M - Measured Unsteady Flow?v_W - Velocity of Flood Wave?S_o - Channel Slope?dh_/dt - Rate of Change of Stage?

Normal Discharge at given Stage under Steady Uniform Flow Example

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Here is how the Normal Discharge at given Stage under Steady Uniform Flow equation looks like with Values.

Here is how the Normal Discharge at given Stage under Steady Uniform Flow equation looks like with Units.

Here is how the Normal Discharge at given Stage under Steady Uniform Flow equation looks like.

12 = \frac{14.4}{\sqrt{1 + (\frac{1}{50 \cdot 0.1}) \cdot 2.2}}

12m³/s = \frac{14.4m³/s}{\sqrt{1 + (\frac{1}{50m/s \cdot 0.1}) \cdot 2.2}}

12 = \frac{14.4}{\sqrt{1 + (\frac{1}{50 \cdot 0.1}) \cdot 2.2}}

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Normal Discharge at given Stage under Steady Uniform Flow Solution

Follow our step by step solution on how to calculate Normal Discharge at given Stage under Steady Uniform Flow?

FIRST Step Consider the formula

Q n = \frac{Q M}{\sqrt{1 + (\frac{1}{v W \cdot S o}) \cdot dh /dt}}

Next Step Substitute values of Variables

∴

Q n = \frac{14.4m³/s}{\sqrt{1 + (\frac{1}{50m/s \cdot 0.1}) \cdot 2.2}}

Next Step Prepare to Evaluate

∴

Q n = \frac{14.4}{\sqrt{1 + (\frac{1}{50 \cdot 0.1}) \cdot 2.2}}

LAST Step Evaluate

∴

Q n = 12m³/s

Normal Discharge at given Stage under Steady Uniform Flow Formula Elements

Variables

Functions

Normal Discharge

The normal discharge at a given stage under steady uniform flow.

Symbol: Q_n

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Normal Discharge

Measured Unsteady Flow

Measured Unsteady Flow at a certain velocity.

Symbol: Q_M

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Measured Unsteady Flow

Velocity of Flood Wave

Velocity of Flood Wave in the channel.

Symbol: v_W

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Flood Wave

Channel Slope

Channel Slope is how far a channel drops over a horizontal distance.

Symbol: S_o

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Channel Slope

Rate of Change of Stage

Rate of Change of Stage in the channel.

Symbol: dh_/dt

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rate of Change of Stage

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.

Syntax: sqrt(Number)

Other formulas in Stage Discharge Relationship category

Go Actual Discharge from Backwater Effect on Rating Curve Normalized Curve

Q a = Q 0 \cdot {(\frac{F}{F o})}^{m}

Go Normalized Discharge of Backwater Effect on Rating Curve Normalized Curve

Q 0 = Q a \cdot {(\frac{F o}{F})}^{m}

Go Actual Fall at Stage given Actual Discharge

F = F o \cdot {(\frac{Q a}{Q 0})}^{\frac{1}{m}}

Go Normalized Value of Fall given Discharge

F o = F \cdot {(\frac{Q 0}{Q a})}^{\frac{1}{m}}

How to Evaluate Normal Discharge at given Stage under Steady Uniform Flow?

Normal Discharge at given Stage under Steady Uniform Flow evaluator uses Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage) to evaluate 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 evaluate Normal Discharge at given Stage under Steady Uniform Flow using this online evaluator? To use this online evaluator 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.

FAQs on Normal Discharge at given Stage under Steady Uniform Flow

What is the formula to find Normal Discharge at given Stage under Steady Uniform Flow?

The formula of Normal Discharge at given Stage under Steady Uniform Flow is expressed as Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage). Here is an example- 12 = 14.4/sqrt(1+(1/(50*0.1))*2.2).

How to calculate Normal Discharge at given Stage under Steady Uniform Flow?

With Measured Unsteady Flow (Q_M), Velocity of Flood Wave (v_W), Channel Slope (S_o) & Rate of Change of Stage (dh_/dt) we can find Normal Discharge at given Stage under Steady Uniform Flow using the formula - Normal Discharge = Measured Unsteady Flow/sqrt(1+(1/(Velocity of Flood Wave*Channel Slope))*Rate of Change of Stage). This formula also uses Square Root (sqrt) function(s).

Can the Normal Discharge at given Stage under Steady Uniform Flow be negative?

No, the Normal Discharge at given Stage under Steady Uniform Flow, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Normal Discharge at given Stage under Steady Uniform Flow?

Normal Discharge at given Stage under Steady Uniform Flow is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Normal Discharge at given Stage under Steady Uniform Flow can be measured.

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Normal Discharge at given Stage under Steady Uniform Flow Formula

Normal Discharge at given Stage under Steady Uniform Flow Example

Normal Discharge at given Stage under Steady Uniform Flow Solution

Normal Discharge at given Stage under Steady Uniform Flow Formula Elements

Other formulas in Stage Discharge Relationship category

How to Evaluate Normal Discharge at given Stage under Steady Uniform Flow?

FAQs on Normal Discharge at given Stage under Steady Uniform Flow

Variable Name