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Discharge for Rectangular Channel Section Formula

GoDischarge Passing through Parshall Flume given Discharge Coefficient Formula

GoDischarge through Control Section Formula

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Environmental Discharge is the rate of flow of a liquid. Check FAQs

Q e = A cs \cdot (R^{\frac{2}{3}}) \cdot \frac{i^{\frac{1}{2}}}{n}

Q_e - Environmental Discharge?A_cs - Area of Cross Section?R - Hydraulic Radius?i - Slope of Bed?n - Manning’s Roughness Coefficient?

Discharge for Rectangular Channel Section Example

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Here is how the Discharge for Rectangular Channel Section equation looks like with Values.

Here is how the Discharge for Rectangular Channel Section equation looks like with Units.

Here is how the Discharge for Rectangular Channel Section equation looks like.

46.2992 = 3.5 \cdot (2^{\frac{2}{3}}) \cdot \frac{{0.01}^{\frac{1}{2}}}{0.012}

46.2992m³/s = 3.5m² \cdot ({2m}^{\frac{2}{3}}) \cdot \frac{{0.01}^{\frac{1}{2}}}{0.012}

46.2992 = 3.5 \cdot (2^{\frac{2}{3}}) \cdot \frac{{0.01}^{\frac{1}{2}}}{0.012}

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Discharge for Rectangular Channel Section Solution

Follow our step by step solution on how to calculate Discharge for Rectangular Channel Section?

FIRST Step Consider the formula

Q e = A cs \cdot (R^{\frac{2}{3}}) \cdot \frac{i^{\frac{1}{2}}}{n}

Next Step Substitute values of Variables

∴

Q e = 3.5m² \cdot ({2m}^{\frac{2}{3}}) \cdot \frac{{0.01}^{\frac{1}{2}}}{0.012}

Next Step Prepare to Evaluate

∴

Q e = 3.5 \cdot (2^{\frac{2}{3}}) \cdot \frac{{0.01}^{\frac{1}{2}}}{0.012}

Next Step Evaluate

∴

Q e = 46.2991973490725m³/s

LAST Step Rounding Answer

∴

Q e = 46.2992m³/s

Discharge for Rectangular Channel Section Formula Elements

Variables

Environmental Discharge

Environmental Discharge is the rate of flow of a liquid.

Symbol: Q_e

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Environmental Discharge

Area of Cross Section

Area of Cross Section is when a plane cuts a solid object, an area is projected onto the plane.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Cross Section

Hydraulic Radius

Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius

Slope of Bed

Slope of Bed is the inclination or gradient of a channel or riverbed along its length.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Bed

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Manning’s Roughness Coefficient

Other Formulas to find Environmental Discharge

Go Discharge Passing through Parshall Flume given Discharge Coefficient

Q e = c \cdot {(d)}^{C D}

Go Discharge through Control Section

Q e = W t \cdot V c \cdot d c

Go Discharge given Flow Area of Throat

Q e = F area \cdot V c

Go Discharge given Critical Depth

Q e = \sqrt{({(d c)}^{3}) \cdot g \cdot {(W t)}^{2}}

Other formulas in Discharge in Channel category

Go Discharge Coefficient with known Discharge

C D = - \log (\frac{Q th}{c}, d)

Go Maximum Discharge given Width of Throat

Q p = W t \cdot V c \cdot d c

How to Evaluate Discharge for Rectangular Channel Section?

Discharge for Rectangular Channel Section evaluator uses Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient to evaluate the Environmental Discharge, The Discharge for Rectangular Channel Section formula is defined as the measure of the value of the volume of water flowing through a section of the channel per unit of time. Environmental Discharge is denoted by Q_e symbol.

How to evaluate Discharge for Rectangular Channel Section using this online evaluator? To use this online evaluator for Discharge for Rectangular Channel Section, enter Area of Cross Section (A_cs), Hydraulic Radius (R), Slope of Bed (i) & Manning’s Roughness Coefficient (n) and hit the calculate button.

FAQs on Discharge for Rectangular Channel Section

What is the formula to find Discharge for Rectangular Channel Section?

The formula of Discharge for Rectangular Channel Section is expressed as Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient. Here is an example- 46.2992 = 3.5*(2^(2/3))*(0.01^(1/2))/0.012.

How to calculate Discharge for Rectangular Channel Section?

With Area of Cross Section (A_cs), Hydraulic Radius (R), Slope of Bed (i) & Manning’s Roughness Coefficient (n) we can find Discharge for Rectangular Channel Section using the formula - Environmental Discharge = Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient.

What are the other ways to Calculate Environmental Discharge?

Here are the different ways to Calculate Environmental Discharge-

Environmental Discharge=Integration Constant*(Depth)^(Discharge Coefficient)
Environmental Discharge=Width of Throat*Critical Velocity*Critical Depth
Environmental Discharge=Flow Area of Throat*Critical Velocity

Can the Discharge for Rectangular Channel Section be negative?

No, the Discharge for Rectangular Channel Section, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge for Rectangular Channel Section?

Discharge for Rectangular Channel Section 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 Discharge for Rectangular Channel Section can be measured.

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Discharge for Rectangular Channel Section Formula

​GoDischarge Passing through Parshall Flume given Discharge Coefficient Formula

​GoDischarge through Control Section Formula

Discharge for Rectangular Channel Section Example

Discharge for Rectangular Channel Section Solution

Discharge for Rectangular Channel Section Formula Elements

Other Formulas to find Environmental Discharge

Other formulas in Discharge in Channel category

How to Evaluate Discharge for Rectangular Channel Section?

FAQs on Discharge for Rectangular Channel Section

Variable Name

GoDischarge Passing through Parshall Flume given Discharge Coefficient Formula

GoDischarge through Control Section Formula