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Discharge given Critical Depth Formula

GoDischarge Passing through Parshall Flume given Discharge Coefficient Formula

GoDischarge for Rectangular Channel Section Formula

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

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

Q_e - Environmental Discharge?d_c - Critical Depth?g - Acceleration due to Gravity?W_t - Width of Throat?

Discharge given Critical Depth Example

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Here is how the Discharge given Critical Depth equation looks like with Values.

Here is how the Discharge given Critical Depth equation looks like with Units.

Here is how the Discharge given Critical Depth equation looks like.

39.8278 = \sqrt{({(2.62)}^{3}) \cdot 9.8 \cdot {(3)}^{2}}

39.8278m³/s = \sqrt{({(2.62m)}^{3}) \cdot 9.8m/s² \cdot {(3m)}^{2}}

39.8278 = \sqrt{({(2.62)}^{3}) \cdot 9.8 \cdot {(3)}^{2}}

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Discharge given Critical Depth Solution

Follow our step by step solution on how to calculate Discharge given Critical Depth?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q e = \sqrt{({(2.62m)}^{3}) \cdot 9.8m/s² \cdot {(3m)}^{2}}

Next Step Prepare to Evaluate

∴

Q e = \sqrt{({(2.62)}^{3}) \cdot 9.8 \cdot {(3)}^{2}}

Next Step Evaluate

∴

Q e = 39.8277919247352m³/s

LAST Step Rounding Answer

∴

Q e = 39.8278m³/s

Discharge given Critical Depth Formula Elements

Variables

Functions

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

Critical Depth

Critical Depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth

Acceleration due to Gravity

Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Width of Throat

Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.

Symbol: W_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Throat

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 to find Environmental Discharge

Go Discharge Passing through Parshall Flume given Discharge Coefficient

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

Go Discharge for Rectangular Channel Section

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

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

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 given Critical Depth?

Discharge given Critical Depth evaluator uses Environmental Discharge = sqrt(((Critical Depth)^3)*Acceleration due to Gravity*(Width of Throat)^2) to evaluate the Environmental Discharge, The Discharge given Critical Depth formula is defined as the volume of fluid (usually water) flowing through a channel per unit time, considering critical depth. Environmental Discharge is denoted by Q_e symbol.

How to evaluate Discharge given Critical Depth using this online evaluator? To use this online evaluator for Discharge given Critical Depth, enter Critical Depth (d_c), Acceleration due to Gravity (g) & Width of Throat (W_t) and hit the calculate button.

FAQs on Discharge given Critical Depth

What is the formula to find Discharge given Critical Depth?

The formula of Discharge given Critical Depth is expressed as Environmental Discharge = sqrt(((Critical Depth)^3)*Acceleration due to Gravity*(Width of Throat)^2). Here is an example- 39.82779 = sqrt(((2.62)^3)*9.8*(3)^2).

How to calculate Discharge given Critical Depth?

With Critical Depth (d_c), Acceleration due to Gravity (g) & Width of Throat (W_t) we can find Discharge given Critical Depth using the formula - Environmental Discharge = sqrt(((Critical Depth)^3)*Acceleration due to Gravity*(Width of Throat)^2). This formula also uses Square Root (sqrt) function(s).

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=Area of Cross Section*(Hydraulic Radius^(2/3))*(Slope of Bed^(1/2))/Manning’s Roughness Coefficient
Environmental Discharge=Width of Throat*Critical Velocity*Critical Depth

Can the Discharge given Critical Depth be negative?

No, the Discharge given Critical Depth, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge given Critical Depth?

Discharge given Critical Depth 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 given Critical Depth can be measured.

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Discharge given Critical Depth Formula

​GoDischarge Passing through Parshall Flume given Discharge Coefficient Formula

​GoDischarge for Rectangular Channel Section Formula

Discharge given Critical Depth Example

Discharge given Critical Depth Solution

Discharge given Critical Depth Formula Elements

Other Formulas to find Environmental Discharge

Other formulas in Discharge in Channel category

How to Evaluate Discharge given Critical Depth?

FAQs on Discharge given Critical Depth

Variable Name

GoDischarge Passing through Parshall Flume given Discharge Coefficient Formula

GoDischarge for Rectangular Channel Section Formula