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Relationship between Stage and Discharge for Non-Alluvial Rivers Formula

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Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area. Check FAQs

Q s = C r \cdot {(G - a)}^{β}

Q_s - Discharge in Stream?C_r - Rating Curve Constant?G - Gauge Height?a - Constant of Gauge Reading?β - Rating Curve Constant Beta?

Relationship between Stage and Discharge for Non-Alluvial Rivers Example

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Here is how the Relationship between Stage and Discharge for Non-Alluvial Rivers equation looks like with Values.

Here is how the Relationship between Stage and Discharge for Non-Alluvial Rivers equation looks like with Units.

Here is how the Relationship between Stage and Discharge for Non-Alluvial Rivers equation looks like.

59.9377 = 1.99 \cdot {(10.2 - 1.8)}^{1.6}

59.9377m³/s = 1.99 \cdot {(10.2m - 1.8)}^{1.6}

59.9377 = 1.99 \cdot {(10.2 - 1.8)}^{1.6}

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Relationship between Stage and Discharge for Non-Alluvial Rivers Solution

Follow our step by step solution on how to calculate Relationship between Stage and Discharge for Non-Alluvial Rivers?

FIRST Step Consider the formula

Q s = C r \cdot {(G - a)}^{β}

Next Step Substitute values of Variables

∴

Q s = 1.99 \cdot {(10.2m - 1.8)}^{1.6}

Next Step Prepare to Evaluate

∴

Q s = 1.99 \cdot {(10.2 - 1.8)}^{1.6}

Next Step Evaluate

∴

Q s = 59.9376807389011m³/s

LAST Step Rounding Answer

∴

Q s = 59.9377m³/s

Relationship between Stage and Discharge for Non-Alluvial Rivers Formula Elements

Variables

Discharge in Stream

Discharge in Stream is the volumetric flow rate of water that is transported through a given cross-sectional area.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge in Stream

Rating Curve Constant

Rating Curve Constant is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.

Symbol: C_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rating Curve Constant

Gauge Height

Gauge Height is the height of the water in the stream above a reference point.

Symbol: G

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Gauge Height

Constant of Gauge Reading

Constant of gauge reading corresponding to zero discharge.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant of Gauge Reading

Rating Curve Constant Beta

Rating Curve Constant Beta is a relationship between two stream or river variables, usually its Discharge (m3 s−1) and a related variable such as water stage.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rating Curve Constant Beta

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 Relationship between Stage and Discharge for Non-Alluvial Rivers?

Relationship between Stage and Discharge for Non-Alluvial Rivers evaluator uses Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta to evaluate the Discharge in Stream, The Relationship between Stage and Discharge for Non-Alluvial Rivers formula is defined as the measured value of discharges when plotted against the corresponding stages giving a relationship that represents the integrated effect of a wide range of channel and flow parameters. Discharge in Stream is denoted by Q_s symbol.

How to evaluate Relationship between Stage and Discharge for Non-Alluvial Rivers using this online evaluator? To use this online evaluator for Relationship between Stage and Discharge for Non-Alluvial Rivers, enter Rating Curve Constant (C_r), Gauge Height (G), Constant of Gauge Reading (a) & Rating Curve Constant Beta (β) and hit the calculate button.

FAQs on Relationship between Stage and Discharge for Non-Alluvial Rivers

What is the formula to find Relationship between Stage and Discharge for Non-Alluvial Rivers?

The formula of Relationship between Stage and Discharge for Non-Alluvial Rivers is expressed as Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta. Here is an example- 60.23888 = 1.99*(10.2-1.8)^1.6.

How to calculate Relationship between Stage and Discharge for Non-Alluvial Rivers?

With Rating Curve Constant (C_r), Gauge Height (G), Constant of Gauge Reading (a) & Rating Curve Constant Beta (β) we can find Relationship between Stage and Discharge for Non-Alluvial Rivers using the formula - Discharge in Stream = Rating Curve Constant*(Gauge Height-Constant of Gauge Reading)^Rating Curve Constant Beta.

Can the Relationship between Stage and Discharge for Non-Alluvial Rivers be negative?

No, the Relationship between Stage and Discharge for Non-Alluvial Rivers, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Relationship between Stage and Discharge for Non-Alluvial Rivers?

Relationship between Stage and Discharge for Non-Alluvial Rivers 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 Relationship between Stage and Discharge for Non-Alluvial Rivers can be measured.

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Relationship between Stage and Discharge for Non-Alluvial Rivers Formula

Relationship between Stage and Discharge for Non-Alluvial Rivers Example

Relationship between Stage and Discharge for Non-Alluvial Rivers Solution

Relationship between Stage and Discharge for Non-Alluvial Rivers Formula Elements

Other formulas in Stage Discharge Relationship category

How to Evaluate Relationship between Stage and Discharge for Non-Alluvial Rivers?

FAQs on Relationship between Stage and Discharge for Non-Alluvial Rivers

Variable Name