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Discharge given Critical Depth for Parabolic Channel Formula

GoDischarge given Critical Section Factor Formula

GoDischarge given Critical Depth for Triangular Channel Formula

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

Q = \sqrt{({h p}^{4}) \cdot ({(S)}^{2}) \cdot 0.29629629629 \cdot [g]}

Q - Discharge of Channel?h_p - Critical Depth of Parabolic Channel?S - Bed Slope?[g] - Gravitational acceleration on Earth?

Discharge given Critical Depth for Parabolic Channel Example

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

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

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

13.943 = \sqrt{(143^{4}) \cdot ({(0.0004)}^{2}) \cdot 0.29629629629 \cdot 9.8066}

13.943m³/s = \sqrt{({143m}^{4}) \cdot ({(0.0004)}^{2}) \cdot 0.29629629629 \cdot 9.8066m/s²}

13.943 = \sqrt{(143^{4}) \cdot ({(0.0004)}^{2}) \cdot 0.29629629629 \cdot 9.8066}

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Discharge given Critical Depth for Parabolic Channel Solution

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

FIRST Step Consider the formula

Q = \sqrt{({h p}^{4}) \cdot ({(S)}^{2}) \cdot 0.29629629629 \cdot [g]}

Next Step Substitute values of Variables

∴

Q = \sqrt{({143m}^{4}) \cdot ({(0.0004)}^{2}) \cdot 0.29629629629 \cdot [g]}

Next Step Substitute values of Constants

∴

Q = \sqrt{({143m}^{4}) \cdot ({(0.0004)}^{2}) \cdot 0.29629629629 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

Q = \sqrt{(143^{4}) \cdot ({(0.0004)}^{2}) \cdot 0.29629629629 \cdot 9.8066}

Next Step Evaluate

∴

Q = 13.9429771442009m³/s

LAST Step Rounding Answer

∴

Q = 13.943m³/s

Discharge given Critical Depth for Parabolic Channel Formula Elements

Variables

Constants

Functions

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

Critical Depth of Parabolic Channel

The Critical Depth of Parabolic Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Critical Depth of Parabolic Channel

Bed Slope

Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Discharge of Channel

Go Discharge given Critical Section Factor

Q = Z \cdot \sqrt{[g]}

Go Discharge given Critical Depth for Triangular Channel

Q = \sqrt{({h t}^{5}) \cdot ({(S)}^{2}) \cdot 0.5 \cdot [g]}

Other formulas in Critical Flow and its Computation category

Go Critical Section Factor

Z = \frac{Q}{\sqrt{[g]}}

Go Critical Depth for Rectangular Channel

h r = {(\frac{q^{2}}{[g]})}^{\frac{1}{3}}

Go Discharge per unit Width given Critical Depth for Rectangular Channel

q = {(({h r}^{3}) \cdot [g])}^{\frac{1}{2}}

Go Critical Energy for Rectangular Channel

E r = 1.5 \cdot h r

How to Evaluate Discharge given Critical Depth for Parabolic Channel?

Discharge given Critical Depth for Parabolic Channel evaluator uses Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g]) to evaluate the Discharge of Channel, Discharge given Critical Depth for Parabolic Channel is defined as amount of flow in channel. Discharge of Channel is denoted by Q symbol.

How to evaluate Discharge given Critical Depth for Parabolic Channel using this online evaluator? To use this online evaluator for Discharge given Critical Depth for Parabolic Channel, enter Critical Depth of Parabolic Channel (h_p) & Bed Slope (S) and hit the calculate button.

FAQs on Discharge given Critical Depth for Parabolic Channel

What is the formula to find Discharge given Critical Depth for Parabolic Channel?

The formula of Discharge given Critical Depth for Parabolic Channel is expressed as Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g]). Here is an example- 13.94298 = sqrt((143^4)*((0.0004)^2)*0.29629629629*[g]).

How to calculate Discharge given Critical Depth for Parabolic Channel?

With Critical Depth of Parabolic Channel (h_p) & Bed Slope (S) we can find Discharge given Critical Depth for Parabolic Channel using the formula - Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g]). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Discharge of Channel?

Here are the different ways to Calculate Discharge of Channel-

Discharge of Channel=Section Factor*sqrt([g])
Discharge of Channel=sqrt((Critical Depth of Triangular Channnel^5)*((Bed Slope)^2)*0.5*[g])

Can the Discharge given Critical Depth for Parabolic Channel be negative?

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

Which unit is used to measure Discharge given Critical Depth for Parabolic Channel?

Discharge given Critical Depth for Parabolic Channel 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 for Parabolic Channel can be measured.

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